Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/d8579e4773d5/2025_11_20_a8e88cb40012d192d3dfg-05.jpg) 13. Two blocks are joined by a light string that passes over the pulley shown above, which has radius

R

and moment of inertia

I

about its center.

T_{1}

and

T_{2}

are the tensions in the string on either side of the pulley and

\alpha

is the angular acceleration of the pulley. Which of the following equations best describes the pulley's rotational motion during the time the blocks accelerate? (A)

m_{2} g R=I \alpha

(B)

\left(T_{1}+T_{2}\right) R=I \alpha

(C)

T_{2} R=I \alpha

(D)

\left(T_{2}-T_{1}\right) R=I \alpha

(E)

\left(m_{2}-m_{1}\right) g R=I \alpha

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