A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed `omega`. If the angular momentum of the system. calculated about O and P are denoted. by `vacL_O and vac_P` respectively, then.
A
`vecL_O` and `vecL_P` do not vary with time.
B
`vecL_O` varies with time while `vecL_P` remains constant
C
`vecL_O` remains constant while `vecL_P` varies with time
D
`vecL_O` and `vecL_P` both vary with time
Text Solution
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The correct Answer is:
C
(c ) The angular momentum of the mass m about O is `mr^2 omega` and is directed toward +z direction for all locations of m. The angular momentum of mass m about P is mvl and is directed for the given location of m as shown in the figure. The direction of `vecL_P` remains changing for different locations of m.
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