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AP® Physics C: Mechanics

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Two Masses, an Inclined Plane, and a Pulley

APPHMC-6WBAVK

A block of mass $m$ sits atop an inclined plane with friction. A string is tied to it that goes over an ideal pulley, and is attached to a second heavier block of mass $M$, suspended vertically.

Nick Borowicz. Created for Albert.io. Copyright 2016. All rights reserved.

If the smaller block slips and moves up the incline, what will be its acceleration in terms of $m$, $M$, $g$, $\mu_k$, and $\theta$?

A

$\cfrac{g(M-m(\mu_k \sin\theta))}{m+M}$

B

$\cfrac{g(M-m(\mu_k \cos\theta))}{m+M}$

C

$\cfrac{g(M-m(\mu_k \cos\theta+\sin\theta))}{m+M}$

D

$\cfrac{g(M-m(\mu_k \cos\theta-\sin\theta))}{m+M}$

E

$\cfrac{g(M-m(\mu_k \cos\theta+\sin\theta))}{(m+M)\cos\theta}$