A uniform disc of mass M and radius R is hinged at its centre C . A force F is applied on the disc as shown. At this instant, the angular acceleration of the disc is

Question

A uniform disc of mass M and radius R is hinged at its centre C . A force F is applied on the disc as shown. At this instant, the angular acceleration of the disc is, 3 F M R, F M R, 2 3 F M R, F 2 M R

MARKS App · Accepted Answer

Given, Mass of uniform disc = M Radius of uniform disc = R Applied force on disc = F According to the question, we can draw the diagram as following We know that, τ = I α ⇒ F sin ⁡ 30 ° R = M R 2 2 α ⇒ F × 1 2 × ⁡ R = M R 2 2 α ⇒ α = F M R

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