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Mikolitis-Quiz8 - EGM 3400 and 3401(circle one Spring 2007...

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EGM 3400 and 3401 (circle one) NAME:_______________________ Spring 2007 Quiz 8 Open book/Closed notes – Time limit = 25 minutes The disk of radius R rolls without slipping at t point of contact A with an angular velocity of ω radians per second counterclockwise. The pin C is at the center of the disk and the point B always rests on the inclined surface. If the a θ is 120 ° , find the velocity of point B at this instant. he ngle Method 1: ICR Method ( ) ( ) ( ) ( ) ( ) tan 30 3 3 cos 60 sin 60 3 3 3 1 3 2 2 3 c CB o o o CB B B v R H R L H L H R R L v i j L R L R R L v i j L R ω ω ω ω ω ω =− = = = =− = = r r r r r r Method 2: Use relative motion and the fact the component of the velocity of B normal to the inclined plane is 0. / / / 3 3 2 2 2 2 3 2 2 3 1 3 3 2 2 2 B C B C C B C BC B C BC BC BC B BC BC B BC v v
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