Q.

A sphere can roll on a surface inclined at an angle θ  if the friction coefficient is more than  g7 tanθ . If a sphere is released from rest on  the incline

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a

it will stay at rest

b

it will make pure translational motion

c

it will translate and rotate about the centre

d

the angular momentum of the sphere about  its centre will remain constant

answer is C.

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Detailed Solution

As the condition for minimum coefficient of friction is satisfied the sphere rolls down hence it has both translatory and rotatory motions
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A sphere can roll on a surface inclined at an angle θ  if the friction coefficient is more than  g7 tanθ . If a sphere is released from rest on  the incline