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Mikolitis-Quiz7

# Mikolitis-Quiz7 - EGM 3400 and 3401(circle one Spring 2007...

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EGM 3400 and 3401 (circle one) NAME:_______________________ Spring 2007 Quiz 7 Open book/Closed notes – Time limit = 25 minutes Block A with mass m A and block B with mass m B are released from rest. Assuming that there is no friction, find the velocity of block B after block A has slid down a distance L relative to block B. Take m A = m B , θ =60 o , and L=1m. (Hint: Does the normal force between blocks A and B do any net work?) Solution: Easy Method: The normal forces between the two blocks do no net work and the normal force between block B and the ground does no work. The only force that does any net work is the gravitational force on block A. Also, there are no externally applied forces in the horizontal direction so the linear momentum in the horizontal direction is conserved. ( ) ( ) ( ) ( ) ( ) / / / / / 2 2 2 2 2 / / 1 3 cos 60 sin 60 2 2 1 0 0 4 2 3 1 1 3 1 1 12 2 2 2 2 2 2 o o A B A B B A B B A B A A B B A B A B B B A B B A A B A B A B B B A B B v v v v i v i j v i v i j m v m v i m v v m v v v m m g m v v v m v m v v = + = + + = + + + = + + = = − = + + + = + +

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Mikolitis-Quiz7 - EGM 3400 and 3401(circle one Spring 2007...

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