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A uniform wheel of moment of inertia 'I' is pivoted on a horizontal axis through its centre so that its plane is vertical as shown in the figure. A small mass 'm' is stuck on the rim of the wheel as shown. The angular acceleration of the wheel when mass is at point A is αA and when mass is at point B is αB. Then, 
A Uniform Wheel Of Moment Of Inertia 'I' Is Pivoted On A Hor...
Options:
A .  αBαA=sinθ 
B .  αBαA=sin2θ
C .  αBαA=cosθ
D .  αBαA=cos2θ
Answer: Option C
:
C
The torque due to the weight of m at A is τAand that when it is at B is τB
τBτA=IαBIαA=bcosθb=cosθ.

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