| a. | for a general rotational motion, angular momentum \(L\) and angular velocity \(\omega\) need not be parallel. |
| b. | for a rotational motion about a fixed axis, angular momentum \(L\) and angular velocity \(\omega\) 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. |
| 1. | (a), (c) |
| 2. | (b), (c) |
| 3. | (c), (d) |
| 4. | (a), (b), (c) |
(1) Hint: Angular momentum has the direction along with the direction of angular velocity and the linear momentum has the direction along with the linear velocity.
For a general rotational motion where the axis of rotation is not symmetric. Angular momentum
L and angular velocity need not be parallel. For a general translational motion momentum
p = mv, hence, p and v are always parallel
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