Fig Problem 11.

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1 1 of 5 11/29/2008 6:00 PM Rolling, Angular momentum Start Date: 29 Nov 2008 at 05:00 PM Due Date: 8 Dec 2008 at 04:00 PM Student Access after Due Date: Graded: Yes Yes. View With Assistance Chapter 11, Problem 4 A uniform solid sphere rolls down an incline. What must be the incline angle (deg) if the linear acceleration of the center of the sphere is to have a magnitude of 0.24g? Chapter 11, Problem 11 GO In the figure, a solid 0.2 kg ball rolls smoothly from rest (starting at height H = 6.2 m) until it leaves the horizontal section at the end of the track, at height h = 2.1 m. How far horizontally from point A does the ball hit the floor? Fig Problem 11. Chapter 11, Problem 18 Flying Circus of Physics In 1980, over San Francisco Bay, a large yo-yo was released from a crane. Suppose the yo-yo was 155 kg, and it consisted of two uniform disks of radius 33.7 cm connected by an axle of radius 3.69 cm. What was the magnitude of the acceleration of the yo-yo during (a) its fall and (b) its rise? (c)what was the tension in the cord on which it rolled? (a) (b) (c) Answer c1: significant digits are disabled; the tolerance is +/-5% Chapter 11, Problem 23 Force = (-6.74 N) + (1.19 N) acts on a particle with position vector = (7.02 m) + (5.95 m). What are (a) the magnitude of the torque on the particle about the origin and (b) the angle between the directions of and

2 2 of 5 11/29/2008 6:00 PM? (a) (b) Chapter 11, Problem 39 In Fig , three particles of mass m = 4.0 kg are fastened to three rods of length d = 0.10 m and negligible mass. The rigid assembly rotates about point O at angular speed ω = 7.3 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? Fig Problem 39. (a) (b) (c) Answer c1: significant digits are disabled; the tolerance is +/-5% Chapter 11, Problem 41 GO Figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 3.2 s. If R = 1.5 m and m = 1.3 kg, calculate the angular momentum about that axis. Fig Problem 41. Chapter 11, Problem 55 GO A uniform thin rod of length 0.5 m and mass 4.4 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed

3 3 of 5 11/29/2008 6:00 PM from above, the bullet's path makes angle θ = 60 with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 11 rad/s immediately after the collision, what is the bullet's speed just before impact? Fig Problem 55. Chapter 11, Problem 61 The uniform rod (length m) in Fig rotates in the plane of the figure about an axis through one end, with a rotational inertia of kg m 2. As the rod swings through its lowest position, it collides with a kg putty wad that sticks to the end of the rod. If the rod's angular speed just before the collision is 1.23 rad/s, what is the angular speed of the rod-putty system immediately after the collision? Fig Problem 61. Chapter 11, Problem 81 A body of radius m and mass 4.41 kg is rolling smoothly with speed 1.66 m/s on a horizontal surface. It then rolls up a hill to a maximum height 3.83 m. What is the body's rotational inertia about the rotational axis through its center of mass? Test Bank, Question 1 A wheel rolls without slipping along a horizontal road as shown. The velocity of the center of the wheel is represented by. Point P is painted on the rim of the wheel. The instantaneous velocity of point P is:

4 4 of 5 11/29/2008 6:00 PM zero Test Bank, Question 10 A hoop, a uniform disk, and a uniform sphere, all with the same mass and outer radius, start with the same speed and roll without sliding up identical inclines. Rank the objects according to how high they go, least to greatest. disk, hoop, sphere hoop, sphere, disk sphere, disk, hoop hoop, disk, sphere sphere, hoop, disk Test Bank, Question 30 As a 2.0-kg block travels around a 0.50-m radius circle with an angular speed of 12 rad/s. The circle is parallel to the xy plane and is centered on the z axis, a distance of 0.75 m from the origin. The z component of the angular momentum around the origin is: 6.0 kg m 2 /s 9.0 kg m 2 /s 11 kg m 2 /s 14 kg m 2 /s 20 kg m 2 /s Test Bank, Question 45 When a man on a frictionless rotating stool extends his arms horizontally, his rotational kinetic energy: must increase must decrease

5 5 of 5 11/29/2008 6:00 PM must remain the same may increase or decrease depending on his initial angular velocity may increase or decrease depending on his angualar acceleration Copyright by John Wiley & Sons, Inc. or related companies. All rights reserved.

HW Set VI page 1 of 9 PHYSICS 1401 (1) homework solutions

HW Set VI page 1 of 9 PHYSICS 1401 (1) homework solutions HW Set VI page 1 of 9 10-30 A 10 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest (Fig. 10-33 ). The bullet emerges from the