Choose the correct alternatives:
(a) For a general rotational motion, angular momentum L and angular velocity need not be parallel.
(b) For a rotational motion about a fixed axis, angular momentum L and angular velocity are always parallel.
(c) For a general translational motion , momentum p and velocity v are always parallel.
(d) For a general translational motion, acceleration a and velocity v are always parallel.
The correct answer is the option (a) and (c).
For general translation motion , where m is a scalar quantity. So, the direction of p is the same as that of v. Hence; they are always parallel.
In case of general rotation motion where the axis of rotation is not symmetric, L is not parallel to the angular velocity.