Home Physics System of Particles Rotational Motion Mix A small mass m is attached to a massless str…
Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A small mass m is attached to a massless string whose other end is fixed at P as shown in figure. The mass is undergoing circular motion in x-y plane with centre O and constant angular speed . If the angular momentum of the system, calculated about O and P and denoted by and respectively, then

A
and do not vary with time.
B
varies with time while remains constant.
C
remains constant while varies with time.
D
and both vary with time.

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The correct answer is:
C

In figure, weight mg of the mass acts vertically downwards and tension T in the string acts along KP. Two rectangular components of T are opposite to mg and along KO.

About O, torques due to T and mg cancel out. Torque due to is zero. Therefore, net torque about O is zero.

As

is not central force is zero

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