Question

8.
One end of a light rod is fixed. At another end, particle A is attached and at
the centre of the rod particle B is attached. Both the particles have the same
masses m. The length of the rod is l. If rod rotates with an angular velocity w
about an axis passing through the fixed and perpendicular to the length of
the rod, calculate angular momentum : particle A and B with respect to axis
of rotation. Also calculate angular momentum of A with respect to B about
the same axis.
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Answer 1

Explanation:

The situation is shown in ure. The velocity of the particle with respect to the fixed end O is

and that of B with respect to O is

. Hence the velocity of B with respect to A is

the angular momentum of B with respect to A is therefore <br>

<br> along the directiion perpendicular to the plane of rotation.