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 `vecL_O and vecL_P` respectively, then.

Options

A. vecL _(0) and vecL _(P)` do not very with time
B. `vecL _(0)` varies with time while `vecL _(P)` remains constant
C. `vecL _(0) ` remains constnat while `vecL_(P)` varies with time
D. `vec L _(0) and vecL _(0)` both vary with time

Answer

C

Explanation

Magnitude and direction of `L_(0)` remains constant and magnitude of `L _(P)` also remains constant but direaction changes. (According to right hand thumb rule)