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AP® Physics 1 & 2

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Two Block System with Friction

APPH12-1NCZCS

Consider the two block system in the image. One block ($mass = m$) is sitting on a table connected by a rope over a pulley to another block ($mass = 3m$) hanging in the air. There is a frictional force between the block resting on the table and the table equal to the weight of this block. In other words, $f=W$.

Which of the following is the correctly derived expression for the acceleration of the two block system?

A

$a = 3g/4$

B

$a = g$

C

$a = g/7$

D

$a = g/2$