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For a general translational motion, momentum p and velocity v are always parallel.

For a general rotational motion, angular momentum L and angular velocity $ω$ must be parallel

For a general translational motion, acceleration a and velocity v are always parallel.

For a rotational motion about a fixed axis, angular momentum L and angular velocity $ω$ are always parallel.

answer is C.

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Detailed Solution

When the rotation's axis is not symmetric in a broad rotational motion. Angular velocity and angular momentum are not need to be parallel. An example of a situation where angular momentum and angular velocity are not parallel is the jerky motion of a wheel rotating about an axis inclined at a minor angle to the wheel's symmetry axis.

The fixed axis must pass through the centre of mass (CM) of the body for angular momentum Z and angular velocity to be parallel.

Since linear momentum in a general translational motion is given by the equation p = mv, the direction of p is always along v.

V and a are not always parallel in projectile motion.

Hence the correct answer is For a general translational motion, momentum p and velocity v are always parallel. .

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