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Q.

A hollow sphere of mass 2kg is kept on a rough horizontal surface. A force of 10 N is applied at the centre of the sphere as shown in the figure. Find the minimum value of $μ$ so that the sphere starts pure rolling. (Take g=10m/s²)

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a

$\sqrt{3} \times 0.08$

b

$\sqrt{3} \times 0.1$

c

$\sqrt{3} \times 0.16$

d

4.37

answer is B.

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Detailed Solution

Form given figure we get

$N = F \sin θ + m g \to (1); F \cos θ - f = m a \to (2)$

$f R = I α \to (3)$

Solve above equation we can easily get

$μ = 0.08 \times \sqrt{3}$

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A hollow sphere of mass 2kg is kept on a rough horizontal surface. A force of 10 N is applied at the centre of the sphere as shown in the figure. Find the minimum value of μ so that the sphere starts pure rolling. (Take g=10m/s2)