Two masses and are connected by a light string that passes over a pulley of radius…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Two masses

m_{1}

and

m_{2}

are connected by a light string that passes over a pulley of radius

R

and rotational inertia

I

. The string does not slip on the pulley, and friction in the axle is negligible. If

m_{1} > m_{2}

, which of the following gives the magnitude

a

of the linear acceleration of the masses immediately after release? (a)

a = \dfrac{(m_{1}+m_{2})g}{m_{1}+m_{2}+I/R^{2}}

(b)

a = \dfrac{(m_{1}-m_{2})g}{m_{1}+m_{2}+I/R^{2}}

(c)

a = \dfrac{(m_{1}-m_{2})g}{m_{1}+m_{2}}

(d)

a = \dfrac{(m_{1}-m_{2})g}{m_{1}+m_{2}-I/R^{2}}