A solid sphere Rolls without slipping on an inclined plane, then which of the following is/are correct ?

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Torque of normal reaction about centre of the sphere is zero

Angular momentum about point of contact is conserved

Torque of weight about point of contact is zero

Torque of friction about point of contact is zero

answer is A, C.

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Detailed Solution

about contact point P:

$τ_{f} = 0 \times f = 0$

$τ_{m g} = C P \times m g \sin θ \neq 0$

$τ_{N} = 0 \times N = 0$

Since, net torque about the point P is not zero.

hence, angular momentum about the point P will not be conserved.

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