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Question

Question: A sphere of mass m rolls without slipping on an inclined plane of inclination θ. The linear accelera...

A sphere of mass m rolls without slipping on an inclined plane of inclination θ. The linear acceleration of the sphere is:

A

17\frac{1}{7}g sin θ

B

27\frac{2}{7} g sin θ

C

37\frac{3}{7} g sin θ

D

57\frac{5}{7} g sin θ

Answer

57\frac{5}{7} g sin θ

Explanation

Solution

a = gsinθ1+ImR2\frac{g\sin\theta}{1 + \frac{I}{mR^{2}}}