A mass `m` is attached to a rigid rod of negligible mass as shown in figure. The system is pivoted at point `O` and rotates about the indicated `z`-axis with angular velocity `vec(omega)`, maintaining a fixed angle `theta` with the axis.

Options

A. Angular momentum `vecL` of mass `m` about pivot is parallel to vector `vec(omega)`
B. Angular momentum `vecL` of mass `m` about pivot is never parallel to `vec(omega)`
C. `vecL_(0)=-mr^(2) omega sin theta cos theta hati+mr^(2) omega sin^(2) theta hatk`
D. Angular momentum of particle about `P` is parallel

Answer

B, C, D