MCQ
Choose the correct alternatives:
  1. For a general rotational motion, angular momentum $L$ and angular velocity $\omega$ need not be parallel.
  2. For a rotational motion about a fixed axis, angular momentum $L \omega$ are always parallel.
  3. For a general translational motion, momentum $P$ and velocity $v$ are aways parallel.
  4. For a general translational motion, acceleration $a$ and velocity $v$ are always parallel.
  • A
    $a$ and $b$
  • $a$ and $c$
  • C
    $b$ and $d$
  • D
    All of the above

Answer

Correct option: B.
$a$ and $c$
  1. For a general rotational motion where axis of rotation is not symmetric. Angular momentum $Z$ and angular velocity $0.$ need not be parallel. The wobbly motion of a wheel rotating about an axis inclined at a small angle to the symmetry axis of the wheel represents a situation where angular momentum and angular velocity are not parallel.
  2. Fixed axis should pass through $CM$ of the body, so it is not necessary angular momentum $Z$ and angular velocity $\omega$ are always parallel.
  3. As we know in a general translational motion linear momentum is given by, $p = mv$ , hence, direction of $p$ is always along $v .$
  4. In projectile motion, $v$ and $a$ are not always parallel.

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