Chapter 10: Linear Kinematics of Human Movement


 Victor Matthews
 1 years ago
 Views:
Transcription
1 Chapter 10: Linear Kinematics of Human Movement Basic Biomechanics, 4 th edition Susan J. Hall Presentation Created by TK Koesterer, Ph.D., ATC Humboldt State University
2 Objectives Discuss the interrelationship among kinematic variables Correctly associate linear kinematic quantities with their units of measure Identify & describe effects of factors governing projectile trajectory Explain why the horizontal and vertical components of projectile motion are analyzed separately Distinguish between average & instantaneous quantities & identify circumstance which each is a quantity of interest
3 Linear Kinematic Quantities Kinematics: describes appearance of motion Kinetics: study of forces associated with motion Linear kinematics: involves the study of the shape, form, pattern and sequencing of linear movement through time Qualitative: major joint actions & sequencing Quantitative: Range of motion, forces, distance etc.
4 Distance & Displacement Measured in units of length Metric: meter, kilometer, centimeter, etc. English: inch, foot, yard & mile Distance: Scalar quantity Linear displacement: Vector quantity: length & direction (compass directions, left, right, up, & down, or positive & negative
5 Speed & Velocity Speed = length (or distance) change in time Velocity (v) = change in position = Δ position change in time Δ time v = displacement = d change in time Δ t
6 Speed & Velocity Velocity = position 2  position 1 time 2  time 1 Velocity is a vector quantity direction and magnitude of motion Laws of vector algebra
7 102
8 Acceleration Acceleration (a) = change in velocity = change in time Δv Δt a = v 2  v 1 Δt When acceleration is zero, velocity is constant
9 Positive/Negative Acceleration
10 Average & Instantaneous Quantities Instantaneous : Instantaneous values Average: Average velocity = final displacement total time
11 Velocity Curve for Sprinting
12 Velocity Curves for Two Sprinters
13 Kinematics of Projectile Motion Bodies projected into the air are projectiles Horizontal & Vertical Components Vertical is influenced by gravity No force (neglecting air resistance) affects the horizontal Horizontal relates to distance Vertical relates to maximum height achieved
14 Kinematics of Projectile Motion Influence of Gravity Major influence of vertical component Not the horizontal component Force of Gravity: Constant, unchanging Negative acceleration (9.81 m/s 2 ) Apex: The highest point in the trajectory
15 106
16 Kinematics of Projectile Motion Influence of Air Resistance In a vacuum, horizontal speed of a projectile remain constant Air resistance affects the horizontal speed of a projectile This chapter, velocity will be regarded as constant
17 Factors Influencing Projectile Trajectory Trajectory: Angle of projection Projection speed Relative height of projection
18 109
19 Factors Influencing Projectile Trajectory Angle of Projection General shapes Perfectly vertical Parabolic Perfectly horizontal Implications in sports Air resistance may cause irregularities
20 1010
21 Factors Influencing Projectile Trajectory Projection speed: Range: Relative Projection Height:
22 1014
23 Optimum Projection Conditions Maximize the speed of projection Maximize release height Optimum angle of projection Release height = 0, then angle = 45 0 Release height, then angle Release height, then angle
24 Range at Various Angles
25 Analyzing Projectile Motion Initial velocity: Horizontal component is constant Horizontal acceleration = 0 Vertical component is constantly changing Vertical acceleration = m/s 2
26 1017
27 Equations of Constant Acceleration Galileo s Laws of constant acceleration v 2 = v 1 + at D = v 1 t + ½at 2 V 2 2 = v ad d = displacement; v = velocity; a = acceleration; t = time Subscript 1 & 2 represent first or initial and second or final point in time
28 Equations of Constant Acceleration Horizontal component : a = 0 v 2 = v 1 D = v 1 t V 2 2 = v2 1
29 Equations of Constant Acceleration Vertical component: a = m/s 2 v 2 = at D = ½ at 2 V 2 2 = 2ad Vertical component at apex: v = 0 0 = v ad 0 = v 1 + at
30 Goals for Projectiles Maximize range (shot put, long jump) Maximize total distance (golf) Optimize range and flight time (punt) Maximize height (vertical jump) Optimize height and range (high jump) Minimize flight time (baseball throw) Accuracy (basketball shot)
31 Goals for Projectiles Maximize range (shot put, long jump) Shot put optimum angle is approximately 42 Long jump theoretical optimum is approximately 43 ; however, due to human limits, the actual angle for elite jumpers is approximately 2022
32 Goals for Projectiles Maximize total distance (golf) Because the total distance (flight plus roll) is most important, trajectory angles are lower than 45 Distance is controlled by the pitch of the club Driver ~ 10
33 Goals for Projectiles Optimize range and flight time (punt) Maximum range occurs with 45 trajectory Higher trajectory increases hang time with minimal sacrifice in distance Lower trajectory usually results in longer punt returns Less time for kicking team to get downfield to cover the punt returner
34 Goals for Projectiles Maximize height (vertical jump) Maximize height of COM at takeoff Maximize vertical velocity by exerting maximum vertical force against ground.
35 Goals for Projectiles Optimize height and range (high jump) Basic goal is to clear maximum height Horizontal velocity is necessary to carry jumper over bar into pit Typical takeoff velocity for elite high jumpers is approximately 45
36 Goals for Projectiles Minimize flight time (baseball throw) Baseball players use low trajectories (close to horizontal) Outfielders often throw the ball on one bounce with minimal loss of velocity
37 Goals for Projectiles Accuracy (basketball shot)
38 Projecting for Accuracy
39 Minimum Speed Trajectory
40 Angle of Entry
41 Margin for Error
42 Free Throw Optimum Angle
43 Summary Linear kinematics is the study of the form or sequencing of linear motion with respect to time. Linear kinematic quantities include the scalar quantities of distance and speed, and the vector quantities of displacement, velocity, and acceleration. Vector quantities or scalar equivalent may be either an instantaneous or an average quantity
44 Summary A projectile is a body in free fall that is affected only by gravity and air resistance. Projectile motion is analyzed in terms of its horizontal and vertical components. Vertical is affected by gravity Factors that determine the height & distance of a projectile are: projection angle, projection speed, and relative projection height The equation for constant acceleration can be used to quantitatively analyze projectile motion.
45 The End
Chapter 07 Test A. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Chapter 07 Test A Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An example of a vector quantity is: a. temperature. b. length. c. velocity.
More informationProjectile motion simulator. http://www.walterfendt.de/ph11e/projectile.htm
More Chapter 3 Projectile motion simulator http://www.walterfendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x
More informationSpeed A B C. Time. Chapter 3: Falling Objects and Projectile Motion
Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.
More information1 of 7 9/5/2009 6:12 PM
1 of 7 9/5/2009 6:12 PM Chapter 2 Homework Due: 9:00am on Tuesday, September 8, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]
More informationProjectile Motion 1:Horizontally Launched Projectiles
A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach? How much time will the clown spend in the air? Projectile Motion 1:Horizontally Launched Projectiles Two
More informationB) 286 m C) 325 m D) 367 m Answer: B
Practice Midterm 1 1) When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means that A) the acceleration is equal to g. B) the force of
More informationScalar versus Vector Quantities. Speed. Speed: Example Two. Scalar Quantities. Average Speed = distance (in meters) time (in seconds) v =
Scalar versus Vector Quantities Scalar Quantities Magnitude (size) 55 mph Speed Average Speed = distance (in meters) time (in seconds) Vector Quantities Magnitude (size) Direction 55 mph, North v = Dx
More informationExam 1 Review Questions PHY 2425  Exam 1
Exam 1 Review Questions PHY 2425  Exam 1 Exam 1H Rev Ques.doc  1  Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that
More informationWWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I
WWW.MIAMIBESTMATHTUTOR.COM PAGE 1 OF 10 WWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I PROJECTILE MOTION 4.1 1. A physics book slides off a horizontal
More information2008 FXA DERIVING THE EQUATIONS OF MOTION 1. Candidates should be able to :
Candidates should be able to : Derive the equations of motion for constant acceleration in a straight line from a velocitytime graph. Select and use the equations of motion for constant acceleration in
More informationPhysics 160 Biomechanics. Angular Kinematics
Physics 160 Biomechanics Angular Kinematics Questions to think about Why do batters slide their hands up the handle of the bat to lay down a bunt but not to drive the ball? Why might an athletic trainer
More informationPhysics Kinematics Model
Physics Kinematics Model I. Overview Active Physics introduces the concept of average velocity and average acceleration. This unit supplements Active Physics by addressing the concept of instantaneous
More informationMaximum Range Explained range Figure 1 Figure 1: Trajectory Plot for AngledLaunched Projectiles Table 1
Maximum Range Explained A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally
More informationPhysics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE
1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object
More information21 Position, Displacement, and Distance
21 Position, Displacement, and Distance In describing an object s motion, we should first talk about position where is the object? A position is a vector because it has both a magnitude and a direction:
More informationTIME OF COMPLETION DEPARTMENT OF NATURAL SCIENCES. PHYS 1111, Exam 2 Section 1 Version 1 October 30, 2002 Total Weight: 100 points
TIME OF COMPLETION NAME DEPARTMENT OF NATURAL SCIENCES PHYS 1111, Exam 2 Section 1 Version 1 October 30, 2002 Total Weight: 100 points 1. Check your examination for completeness prior to starting. There
More informationFree Fall: Observing and Analyzing the Free Fall Motion of a Bouncing PingPong Ball and Calculating the Free Fall Acceleration (Teacher s Guide)
Free Fall: Observing and Analyzing the Free Fall Motion of a Bouncing PingPong Ball and Calculating the Free Fall Acceleration (Teacher s Guide) 2012 WARD S Science v.11/12 OVERVIEW Students will measure
More informationName DATE Per TEST REVIEW. 2. A picture that shows how two variables are related is called a.
Name DATE Per Completion Complete each statement. TEST REVIEW 1. The two most common systems of standardized units for expressing measurements are the system and the system. 2. A picture that shows how
More informationReview Assessment: Lec 02 Quiz
COURSES > PHYSICS GUEST SITE > CONTROL PANEL > 1ST SEM. QUIZZES > REVIEW ASSESSMENT: LEC 02 QUIZ Review Assessment: Lec 02 Quiz Name: Status : Score: Instructions: Lec 02 Quiz Completed 20 out of 100 points
More informationThe BulletBlock Mystery
LivePhoto IVV Physics Activity 1 Name: Date: 1. Introduction The BulletBlock Mystery Suppose a vertically mounted 22 Gauge rifle fires a bullet upwards into a block of wood (shown in Fig. 1a). If the
More information8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight
1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled
More informationChapter 7: Momentum and Impulse
Chapter 7: Momentum and Impulse 1. When a baseball bat hits the ball, the impulse delivered to the ball is increased by A. follow through on the swing. B. rapidly stopping the bat after impact. C. letting
More information5. Unable to determine. 6. 4 m correct. 7. None of these. 8. 1 m. 9. 1 m. 10. 2 m. 1. 1 m/s. 2. None of these. 3. Unable to determine. 4.
Version PREVIEW B One D Kine REVIEW burke (1111) 1 This printout should have 34 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. Jogging
More informationPHY121 #8 Midterm I 3.06.2013
PHY11 #8 Midterm I 3.06.013 AP Physics Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension
More informationPhysics 53. Kinematics 2. Our nature consists in movement; absolute rest is death. Pascal
Phsics 53 Kinematics 2 Our nature consists in movement; absolute rest is death. Pascal Velocit and Acceleration in 3D We have defined the velocit and acceleration of a particle as the first and second
More informationGravitational Potential Energy
Gravitational Potential Energy Consider a ball falling from a height of y 0 =h to the floor at height y=0. A net force of gravity has been acting on the ball as it drops. So the total work done on the
More informationAP Physics B Practice Workbook Book 1 Mechanics, Fluid Mechanics and Thermodynamics
AP Physics B Practice Workbook Book 1 Mechanics, Fluid Mechanics and Thermodynamics. The following( is applicable to this entire document copies for student distribution for exam preparation explicitly
More informationLong Jump Mechanics THE 13 PACE RUNUP THE LAST 3 STRIDES THE TAKEOFF
Long Jump Mechanics Two major techniques are used in long jumping: the hang technique and the hitchkick technique. In the hang technique, the jumper appears to temporarily hang in the air during flight.
More informationAP1 Dynamics. Answer: (D) foot applies 200 newton force to nose; nose applies an equal force to the foot. Basic application of Newton s 3rd Law.
1. A mixed martial artist kicks his opponent in the nose with a force of 200 newtons. Identify the actionreaction force pairs in this interchange. (A) foot applies 200 newton force to nose; nose applies
More informationPage Topic Further Support Materials
This booklet will discuss some of the principles involved in the design of a roller coaster. It is intended for the middle or high school teacher. Physics students may find the information helpful as well.
More informationC B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N
Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a
More informationKinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same.
1. A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall
More informationPROBLEM SET. Practice Problems for Exam #1. Math 2350, Fall 2004. Sept. 30, 2004 ANSWERS
PROBLEM SET Practice Problems for Exam #1 Math 350, Fall 004 Sept. 30, 004 ANSWERS i Problem 1. The position vector of a particle is given by Rt) = t, t, t 3 ). Find the velocity and acceleration vectors
More informationSolutions to old Exam 1 problems
Solutions to old Exam 1 problems Hi students! I am putting this old version of my review for the first midterm review, place and time to be announced. Check for updates on the web site as to which sections
More information1.3.1 Position, Distance and Displacement
In the previous section, you have come across many examples of motion. You have learnt that to describe the motion of an object we must know its position at different points of time. The position of an
More informationSQA Higher Physics Unit 1 Mechanics and Properties of Matter
SCHOLAR Study Guide SQA Higher Physics Unit 1 Mechanics and Properties of Matter John McCabe St Aidan s High School Andrew Tookey HeriotWatt University Campbell White Tynecastle High School HeriotWatt
More informationSQA CfE Higher Physics Unit 1: Our Dynamic Universe
SCHOLAR Study Guide SQA CfE Higher Physics Unit 1: Our Dynamic Universe Authored by: Ian Holton Previously authored by: Douglas Gavin John McCabe Andrew Tookey Campbell White Reviewed by: Grant McAllister
More informationModule 8 Lesson 4: Applications of Vectors
Module 8 Lesson 4: Applications of Vectors So now that you have learned the basic skills necessary to understand and operate with vectors, in this lesson, we will look at how to solve real world problems
More informationPhysics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
More informationSolving Simultaneous Equations and Matrices
Solving Simultaneous Equations and Matrices The following represents a systematic investigation for the steps used to solve two simultaneous linear equations in two unknowns. The motivation for considering
More information5 PROJECTILES. 5.0 Introduction. Objectives
5 PROJECTILES Chapter 5 Projectiles Objectives After studying this chapter you should recognise that projectile motion is common; understand how to obtain a simple mathematical model of projectile motion;
More informationExam Three Momentum Concept Questions
Exam Three Momentum Concept Questions Isolated Systems 4. A car accelerates from rest. In doing so the absolute value of the car's momentum changes by a certain amount and that of the Earth changes by:
More informationKINEMATICS OF PARTICLES RELATIVE MOTION WITH RESPECT TO TRANSLATING AXES
KINEMTICS OF PRTICLES RELTIVE MOTION WITH RESPECT TO TRNSLTING XES In the previous articles, we have described particle motion using coordinates with respect to fixed reference axes. The displacements,
More informationPhysics: Principles and Applications, 6e Giancoli Chapter 4 Dynamics: Newton's Laws of Motion
Physics: Principles and Applications, 6e Giancoli Chapter 4 Dynamics: Newton's Laws of Motion Conceptual Questions 1) Which of Newton's laws best explains why motorists should buckleup? A) the first law
More informationExample SECTION 131. XAXIS  the horizontal number line. YAXIS  the vertical number line ORIGIN  the point where the xaxis and yaxis cross
CHAPTER 13 SECTION 131 Geometry and Algebra The Distance Formula COORDINATE PLANE consists of two perpendicular number lines, dividing the plane into four regions called quadrants XAXIS  the horizontal
More informationChapter 6 Quadratic Functions
Chapter 6 Quadratic Functions Determine the characteristics of quadratic functions Sketch Quadratics Solve problems modelled b Quadratics 6.1Quadratic Functions A quadratic function is of the form where
More informationProblem Set #8 Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department 8.01L: Physics I November 7, 2015 Prof. Alan Guth Problem Set #8 Solutions Due by 11:00 am on Friday, November 6 in the bins at the intersection
More informationSupplemental Questions
Supplemental Questions The fastest of all fishes is the sailfish. If a sailfish accelerates at a rate of 14 (km/hr)/sec [fwd] for 4.7 s from its initial velocity of 42 km/h [fwd], what is its final velocity?
More informationCS100B Fall 1999. Professor David I. Schwartz. Programming Assignment 5. Due: Thursday, November 18 1999
CS100B Fall 1999 Professor David I. Schwartz Programming Assignment 5 Due: Thursday, November 18 1999 1. Goals This assignment will help you develop skills in software development. You will: develop software
More informationStudy Guide for Mechanics Lab Final
Study Guide for Mechanics Lab Final This study guide is provided to help you prepare for the lab final. The lab final consists of multiplechoice questions, usually 2 for each unit, and 4 workout problems
More informationAngular acceleration α
Angular Acceleration Angular acceleration α measures how rapidly the angular velocity is changing: Slide 70 Linear and Circular Motion Compared Slide 7 Linear and Circular Kinematics Compared Slide 7
More informationNatural Convection. Buoyancy force
Natural Convection In natural convection, the fluid motion occurs by natural means such as buoyancy. Since the fluid velocity associated with natural convection is relatively low, the heat transfer coefficient
More informationLecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014
Lecture 07: Work and Kinetic Energy Physics 2210 Fall Semester 2014 Announcements Schedule next few weeks: 9/08 Unit 3 9/10 Unit 4 9/15 Unit 5 (guest lecturer) 9/17 Unit 6 (guest lecturer) 9/22 Unit 7,
More information2After completing this chapter you should be able to
After completing this chapter you should be able to solve problems involving motion in a straight line with constant acceleration model an object moving vertically under gravity understand distance time
More information10.1 Quantitative. Answer: A Var: 50+
Chapter 10 Energy and Work 10.1 Quantitative 1) A child does 350 J of work while pulling a box from the ground up to his tree house with a rope. The tree house is 4.8 m above the ground. What is the mass
More informationAt the skate park on the ramp
At the skate park on the ramp 1 On the ramp When a cart rolls down a ramp, it begins at rest, but starts moving downward upon release covers more distance each second When a cart rolls up a ramp, it rises
More informationInteractive Animation: A new approach to simulate parametric studies
Interactive Animation: A new approach to simulate parametric studies Darwin Sebayang and Ignatius Agung Wibowo Kolej Universiti Teknologi Tun Hussein Onn (KUiTTHO) Abstract Animation is the one of novel
More informationTo provide insight into the physics of arrow flight and show how archers adapt their equipment to maximize effectiveness.
The Science of Archery Godai Katsunaga Purpose To provide insight into the physics of arrow flight and show how archers adapt their equipment to maximize effectiveness. Archery Archery is one of the events
More informationCONDITIONING PROGRAM
CONDITIONING PROGRAM Speed and Agility are two major components of sport that need to be trained just like strength, size, and power are developed in the weight room. It is true that no matter what your
More informationTo define concepts such as distance, displacement, speed, velocity, and acceleration.
Chapter 7 Kinematics of a particle Overview In kinematics we are concerned with describing a particle s motion without analysing what causes or changes that motion (forces). In this chapter we look at
More informationEDUH 1017  SPORTS MECHANICS
4277(a) Semester 2, 2011 Page 1 of 9 THE UNIVERSITY OF SYDNEY EDUH 1017  SPORTS MECHANICS NOVEMBER 2011 Time allowed: TWO Hours Total marks: 90 MARKS INSTRUCTIONS All questions are to be answered. Use
More informationLecture Presentation Chapter 7 Rotational Motion
Lecture Presentation Chapter 7 Rotational Motion Suggested Videos for Chapter 7 Prelecture Videos Describing Rotational Motion Moment of Inertia and Center of Gravity Newton s Second Law for Rotation Class
More informationFundamental Mechanics: Supplementary Exercises
Phys 131 Fall 2015 Fundamental Mechanics: Supplementary Exercises 1 Motion diagrams: horizontal motion A car moves to the right. For an initial period it slows down and after that it speeds up. Which of
More informationG U I D E T O A P P L I E D O R B I T A L M E C H A N I C S F O R K E R B A L S P A C E P R O G R A M
G U I D E T O A P P L I E D O R B I T A L M E C H A N I C S F O R K E R B A L S P A C E P R O G R A M CONTENTS Foreword... 2 Forces... 3 Circular Orbits... 8 Energy... 10 Angular Momentum... 13 FOREWORD
More informationEpisode 207: Projectile motion
Episode 207: Projectile motion This episode looks at the independence of vertical and horizontal motion. It concerns objects accelerating vertically when projected horizontally or vertically. The crucial
More informationJump Shot Mathematics Howard Penn
Jump Shot Mathematics Howard Penn Abstract In this paper we exae variations of standard calculus problems in the context of shooting a basketball jump shot. We believe that many students will find this
More informationCOMPONENTS OF VECTORS
COMPONENTS OF VECTORS To describe motion in two dimensions we need a coordinate sstem with two perpendicular aes, and. In such a coordinate sstem, an vector A can be uniquel decomposed into a sum of two
More informationBiomechanics Sample Problems
Biomechanics Sample Problems Forces 1) A 90 kg ice hockey player collides head on with an 80 kg ice hockey player. If the first person exerts a force of 450 N on the second player, how much force does
More informationPenalty Stroke in Field Hockey: A Biomechanical Study
ISSN 17509823 (print) International Journal of Sports Science and Engineering Vol. 05 (2011) No. 01, pp. 053057 Penalty Stroke in Field Hockey: A Biomechanical Study Ikram Hussain 1, Arif Mohammad 2,
More informationMotion Graphs. It is said that a picture is worth a thousand words. The same can be said for a graph.
Motion Graphs It is said that a picture is worth a thousand words. The same can be said for a graph. Once you learn to read the graphs of the motion of objects, you can tell at a glance if the object in
More informationVector Spaces; the Space R n
Vector Spaces; the Space R n Vector Spaces A vector space (over the real numbers) is a set V of mathematical entities, called vectors, U, V, W, etc, in which an addition operation + is defined and in which
More informationDigital Energy ITI. Instrument Transformer Basic Technical Information and Application
g Digital Energy ITI Instrument Transformer Basic Technical Information and Application Table of Contents DEFINITIONS AND FUNCTIONS CONSTRUCTION FEATURES MAGNETIC CIRCUITS RATING AND RATIO CURRENT TRANSFORMER
More information1. Watch or research. Choose option a, b, or c and complete all the requirements: a. Watch 3 episodes/hours of NOVA, NASA, or other media productions
1. Watch or research. Choose option a, b, or c and complete all the requirements: a. Watch 3 episodes/hours of NOVA, NASA, or other media productions (examples include Discovery Channel, Science Channel,
More informationMechanics lecture 7 Moment of a force, torque, equilibrium of a body
G.1 EE1.el3 (EEE1023): Electronics III Mechanics lecture 7 Moment of a force, torque, equilibrium of a body Dr Philip Jackson http://www.ee.surrey.ac.uk/teaching/courses/ee1.el3/ G.2 Moments, torque and
More information= f x 1 + h. 3. Geometrically, the average rate of change is the slope of the secant line connecting the pts (x 1 )).
Math 1205 Calculus/Sec. 3.3 The Derivative as a Rates of Change I. Review A. Average Rate of Change 1. The average rate of change of y=f(x) wrt x over the interval [x 1, x 2 ]is!y!x ( )  f( x 1 ) = y
More informationHow to Write a Formal Lab Report
Union College Physics and Astronomy How to Write a Formal Lab Report A formal lab report is essentially a scaleddown version of a scientific paper, reporting on the results of an experiment that you and
More informationMidterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m
Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of
More informationREHAB 442: Advanced Kinesiology and Biomechanics INTRODUCTION  TERMS & CONCEPTS
Rehab 442: Introduction  Page 1 REHAB 442: Advanced Kinesiology and Biomechanics INTRODUCTION  TERMS & CONCEPTS Readings: Norkin & Levangie, Chapters 1 & 2 or Oatis, Ch. 1 & 2 (don't get too bogged down
More informationDerivatives as Rates of Change
Derivatives as Rates of Change OneDimensional Motion An object moving in a straight line For an object moving in more complicated ways, consider the motion of the object in just one of the three dimensions
More informationChapter 11 Equilibrium
11.1 The First Condition of Equilibrium The first condition of equilibrium deals with the forces that cause possible translations of a body. The simplest way to define the translational equilibrium of
More informationGeneral Physical Science
General Physical Science Chapter 4 Work and Energy Work The work done by a constant force F acting upon an object is the product of the magnitude of the force (or component of the force) and the parallel
More information2 ONE DIMENSIONAL MOTION
2 ONE DIMENSIONAL MOTION Chapter 2 OneDimensional Motion Objectives After studying this chapter you should be able to derive and use formulae involving constant acceleration; be able to understand the
More informationKinematic Physics for Simulation and Game Programming
Kinematic Phsics for Simulation and Game Programming Mike Baile mjb@cs.oregonstate.edu phsicskinematic.ppt mjb October, 05 SI Phsics Units (International Sstem of Units) Quantit Units Linear position
More informationChapter 9. particle is increased.
Chapter 9 9. Figure 936 shows a three particle system. What are (a) the x coordinate and (b) the y coordinate of the center of mass of the three particle system. (c) What happens to the center of mass
More informationExam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis
* By request, but I m not vouching for these since I didn t write them Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis There are extra office hours today & tomorrow Lots of practice exams
More informationAP Physics 1 and 2 Lab Investigations
AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
More informationMidterm Exam 1 October 2, 2012
Midterm Exam 1 October 2, 2012 Name: Instructions 1. This examination is closed book and closed notes. All your belongings except a pen or pencil and a calculator should be put away and your bookbag should
More information1.3. DOT PRODUCT 19. 6. If θ is the angle (between 0 and π) between two nonzero vectors u and v,
1.3. DOT PRODUCT 19 1.3 Dot Product 1.3.1 Definitions and Properties The dot product is the first way to multiply two vectors. The definition we will give below may appear arbitrary. But it is not. It
More informationSYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC 111 2. NAME OF ORIGINATOR /REVISOR: Dr.
SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595 l. Course #: PHYSC 111 2. NAME OF ORIGINATOR /REVISOR: Dr. Neil Basescu NAME OF COURSE: College Physics 1 with Lab 3. CURRENT DATE: 4/24/13
More informationA vector is a directed line segment used to represent a vector quantity.
Chapters and 6 Introduction to Vectors A vector quantity has direction and magnitude. There are many examples of vector quantities in the natural world, such as force, velocity, and acceleration. A vector
More informationBIOMECHANICAL ANALYSIS OF THE STANDING LONG JUMP
APPLICATIONS, BASIS & COMMUNICATIONS 186 BIOMECHANICAL ANALYSIS OF THE STANDING LONG JUMP WENLAN WU 1, JIAHROUNG WIT, HWAITING LIN\ GWOJAW WANG 4 1 School of Sports Medicine, Kaohsiung Medical University,
More informationSlope and Rate of Change
Chapter 1 Slope and Rate of Change Chapter Summary and Goal This chapter will start with a discussion of slopes and the tangent line. This will rapidly lead to heuristic developments of limits and the
More informationreview/assessment questions
Student Activity Sheet 6 Page 1 Name physics, technology and engineering in automobile racing review/assessment questions 1. Draw a freebody diagram for a block being pushed across the floor. 2. Use all
More informationAn Introduction to Applied Mathematics: An Iterative Process
An Introduction to Applied Mathematics: An Iterative Process Applied mathematics seeks to make predictions about some topic such as weather prediction, future value of an investment, the speed of a falling
More information3600 s 1 h. 24 h 1 day. 1 day
Week 7 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution
More informationWelcome back to Physics 211. Physics 211 Spring 2014 Lecture 041 1. ask a physicist
Welcome back to Physics 211 Today s agenda: Rotations What s on the exam? Relative motion Physics 211 Spring 2014 Lecture 041 1 ask a physicist Why are neutrinos faster than light (photons)? I thought
More informationAdequate Theory of Oscillator: A Prelude to Verification of Classical Mechanics Part 2
International Letters of Chemistry, Physics and Astronomy Online: 213919 ISSN: 22993843, Vol. 3, pp 11 doi:1.1852/www.scipress.com/ilcpa.3.1 212 SciPress Ltd., Switzerland Adequate Theory of Oscillator:
More informationDespite its enormous mass (425 to 900 kg), the Cape buffalo is capable of running at a top speed of about 55 km/h (34 mi/h).
Revised Pages PART ONE Mechanics CHAPTER Motion Along a Line 2 Despite its enormous mass (425 to 9 kg), the Cape buffalo is capable of running at a top speed of about 55 km/h (34 mi/h). Since the top speed
More informationOrbital Mechanics. Angular Momentum
Orbital Mechanics The objects that orbit earth have only a few forces acting on them, the largest being the gravitational pull from the earth. The trajectories that satellites or rockets follow are largely
More information