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Q.

A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves at a steady speed in a circular path of constant radius. Assume that the system is in steady circular motion with constant angular velocity ω. The angular momentum of M about point A is  LA which lies in the positive z direction and the angular momentum of M about B is LB. The correct statement for this system is:

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a

LA is constant, both in magnitude and direction

b

LA  and  LB are both constant in magnitude and direction

c

LB  is constant in direction with varying magnitude

d

LB  is constant, both in magnitude and direction

answer is A.

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Detailed Solution

Angular momentum about A is constant in direction and in magnitude as well. Whereas angular momentum about B is constant in magnitude and varies in direction.LA  is constant, both in magnitude and direction.
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A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves at a steady speed in a circular path of constant radius. Assume that the system is in steady circular motion with constant angular velocity ω. The angular momentum of M about point A is  LA which lies in the positive z direction and the angular momentum of M about B is LB. The correct statement for this system is: