hw12 - PHYS-1200 PHYSICS II SPRING 2006 HOMEWORK SOLUTIONS...

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Unformatted text preview: PHYS-1200 PHYSICS II SPRING 2006 HOMEWORK SOLUTIONS CLASS 12. 15.09, 15.25, 15.33; Q31.02, Q31.04 15.09. x = (6.0 m) cos [(3 rad/s) t + / 3 rad] v dx dt t t a dv dt t t = = - + = - + = = - + = - + ( ( ( ( ( ( ( ( ) ( 3 3 18 3 3 18 3 54 3 2 rad/s)(6.0 m) sin [ rad/s) /3] m/s) sin [ rad/s) /3] rad/s) m/s)cos [ rad/s) /3] m/s cos [ rad/s) /3] 2 At t = 2.0 s: a) x = (6.0 m) cos [(3 rad/s)(2.0 s) + / 3 rad] = (6.0 m) cos [6.0 rad + / 3 rad] = (6.0 m) cos [ / 3 rad] x = 3.0 m b) v = (18 m/s) sin [(3 rad/s)(2.0 s) + / 3 rad] = (18 m/s) sin [6.0 rad + / 3 rad] = (18 m/s) sin [ / 3 rad] v = 49 m/s c) a = (54 m/s) cos [(3 rad/s)(2.0 s) + / 3 rad] = (54 m/s) cos [6.0 rad + / 3 rad] = (54 m/s) cos [ / 3 rad] a = 270 m/ s or, a = x = (3 rad/s)(3.0 m) = 270 m/s d) Phase = (3 rad/s)(2.0 s) + / 3 rad = 6.33 rad Phase...
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hw12 - PHYS-1200 PHYSICS II SPRING 2006 HOMEWORK SOLUTIONS...

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