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Q.

A sphere rolls without slipping on an incline of inclination $θ$ . The minimum coefficient of static friction to support pure rolling is to be

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a

2/7 Tan $θ$

b

2/3 Tan $θ$

c

2/5 Tan $θ$

d

3/7 Tan $θ$

answer is C.

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Detailed Solution

Minimum Coefficient of static friction is given by

$μ = \frac{tanθ}{1 + \frac{R^{2}}{K^{2}}} = \frac{tanθ}{1 + \frac{5}{2}} = \frac{2}{7} tanθ$

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