Apentix/AP Physics 1/Unit 7: Torque and Rotational Motion/Question
AP Physics 1mediummcq1 pt

A uniform disk of mass M and radius R is mounted on a fixed axle through its center. A string is wrapped around the disk and a block of mass m is attached to the string. The system is released from rest. What is the angular acceleration of the disk?

A.C) 2mg/(MR)
B.D) mg/(2MR)
C.A) mg/(MR + mR)
D.B) mg/(MR)

Explanation

Core Concept

For the block: mg - T = ma. For the disk: TR = Iα = (1/2)MR²α. Since the string doesn't slip, a = Rα. Solving these equations simultaneously gives α = mg/(MR + mR).

Correct Answer

CA) mg/(MR + mR)

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