Rotational Motion

JEE Main level, single correct, medium

212 of 280

Question 212 of 280

A mass MM hangs on a massless rod of length ll which rotates at a constant angular frequency. The mass MM moves with steady speed in a circular path of constant radius. Assume that the system is in steady circular motion with constant angular velocity ω.\omega . The angular momentum of MM about point AA is LA{L}_{A} which lies in the positive zz direction and the angular momentum of MM about BB is LB.{L}_{B}. The correct statement for this system is:

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Answer: (D) LA{L}_{A} is constant, both in magnitude and direction

We know, L⃗=m(r⃗×v⃗)\vec{L}=m(\vec{r}\times \vec{v})
Now with respect to
A,A, we always get direction
of
L⃗\vec{L} along +ve+ve zz-axis and also constant magnitude as mvr. But with respect to B,B, we get constant magnitude but continuously changing direction.

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