A wheel is released on a rough horizontal floor after imparting it an initial horizontal velocity `v_(0)` and angular velocity` omega_(0)` as shown in the figure below. Point `O` is the centre of mass of the wheel and point `P` is its instantaneous point of contact with the groundl. The radius of wheel is `r` and its radius of gyration about `O` is `k`. Coefficient of friction between wheel and ground is `mu`. A is a fixed point on the ground.

Which of the following is conserved ?

Options

A. linear momentum of wheel
B. Angular momentum of wheel about `O`.
C. Angular momentum of wheel about `A`
D. None of these

Answer

C

Explanation

Torque of friction about `A` is zero.