Atomic nature of matter / springs. RE 4.a EP 3, HW3: Ch 3 Pr s 42, 46, 58, 65, 72 & CP RE 4.b. Mon. Tues. Wed.
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1 Mon. Tue Wed. Lab ri Mon. Tue... ri Atomic nature of matter / pring ,.9-.0 Stre, Strain, Young Modulu, Compreion, Sound Science Poter Seion: Hedco7pm~9pm L4: Young Modulu & Speed of Sound (Read 4.-.) 4.-.;.4-.5 Sound in Solid, Analytical Solution Quiz 3 4.8,.3 riction and Buoyancy & Suction Exam (Ch -4) RE 4.a EP 3, HW3: Ch 3 Pr 4, 46, 58, 65, 7 & CP RE 4.b RE 4.c laptop, martphone RE 4.d EP 4, HW4: Ch 4 Pr 46, 50, 8, 88 & CP
2 The Atomic hypothei (p. 39) All matter conit of atom, whoe typical radiu i about 0-0 m Atom attract each other when they are cloe to each other but not too cloe. Atom repel each other when they get too cloe to each other. Atom in olid, liquid, and gae eep moving even at very low temperature.
3 Seeing atom A Å Image of the Pt(00)-hex recontructed urface taen with a cutom Scanning Tunneling Microcope at Aarhu Univerity Scanning Probe Microcopy lab. The dar pot near the center i a ingle, miing atom.
4 Condened Matter / Surface Science Hex Recontruction of Pt(00) Surface Platinum Crytal Unit Cell Bul Cleaved (00) Surface Recontructed (00) Surface?
5 Pair of atom rotating
6 Pair of atom traveling
7 Ball-Spring Model Molecule Solid =-(L-L o ) L o L o L
8 Atomic eparation M Vol total total denity m Vol atom atom 3 m atom matom 3 d d denity m atom a. m. u. * m a. m. u. nucleon -7 *.7 0 mole m atom a. m. u. * atom g
9 Example: eparation of Si atom One mole of ilicon (6 0 3 atom) ha a ma of 8 gram. The denity of ilicon i.33 gram/cm 3. What i the typical eparation of a ilicon atom (i.e., ~ their diameter) auming their arranged cubically?
10 untretched Spring tretched untretched Spring tretched Spring & tretched er = er = er er Spring in Serie er = er
11 Q4.5.a: Spring in erie You hang a g ma from a pring, which tretche 0.4 m. You lin the pring end to end with another identical pring, and hang a g ma from the lined pring. How much doe thi longer pring tretch? a. 0.6 m b. 0. m c. 0.4 m d. 0.8 m
12 untretched tretched Special cae: Identical Spring in Serie Identical Spring & er er er er If 3,4, N er identical pring in erie: N er er The more pring in erie, the le tiff
13 Q4.5.b: Spring in erie A hort pring ha a tiffne of 0 N/m. You lin 4 of thee pring end to end to mae a longer pring. What i the tiffne of the longer pring? a. 0. N/m b. 5 N/m c. 0 N/m d. 80 N/m
14 Spring in Parallel Spring & par par = = par par par = par
15 Q4.5.c: Spring in parallel You hang a g ma from a pring, which tretche 0.4 m. You place a econd identical pring beide the firt, o the g ma i now upported by two pring. How much doe each pring tretch? a. 0. m b. 0.4 m c. 0.5 m d. 0.8 m
16 Special cae: Identical Spring in Parallel Spring & par If 3,4, N par identical pring in parallel: = = par N par The more pring in parallel, the tiffer = par
17 Q4.5.c: Spring in parallel You hang a g ma from a pring, which tretche 0.4 m. You place a econd identical pring beide the firt, o the g ma i now upported by two pring. How much doe each pring tretch? a. 0. m b. 0.4 m c. 0.5 m d. 0.8 m
18 Q4.5.d: Spring in parallel A hort pring ha a tiffne of 0 N/m. You ue 4 of thee pring ide by ide to upport a ma. What i the tiffne of the 4 ide-by-ide pring, conidered a one effective pring? a. 0. N/m b. 5 N/m c. 0 N/m d. 80 N/m
19 The Micro-Macro Connection: Stiffne for pring in erie and in Parallel Length=N er *d bond N er L d Area=N par *d bond N par A d tot N N L par er L A dl A dl L total
20 Q4.6.d: Wire You hang a 0 g ma from a copper wire, and the wire tretche by 8 mm. Now you hang the ame ma from a econd copper wire, whoe cro-ectional area i half a large (but whoe length i the ame). What happen? a) The econd wire tretche 4 mm b) The econd wire tretche 8 mm c) The econd wire tretche 6 mm
21 Q4.6.e: Wire You hang a 0 g ma from a copper wire, and the wire tretche by 8 mm. Now you hang the ame ma from a econd copper wire, which i twice a long, but ha the ame diameter. What happen? a) The econd wire tretche 4 mm b) The econd wire tretche 8 mm c) The econd wire tretche 6 mm
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