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Question

A uniform disc of mass 'm' and radius R is rolling down a fixed inclined plane without slipping. The angular acceleration of the disc is


A

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B

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C

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D

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Solution

The correct option is D


We know that ,

acm = gsingθ1+K2R2 = 12

For disc, I = MR22 = MK2

K2R2 = 12

acm = gsinθ1+12 = 23 g sin θ

Angular acceleration , α = acmR [ For pure rolling , acm = r α ]

α = 2gsinθ3R


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