MCQ
Choose the correct alternatives:
  • 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 $\omega$ are always parallel.
  • C
    For a general translational motion, momentum P and velocity v are aways parallel.
  • D
    For a general translational motion, acceleration a and velocity v are always parallel.

Answer

  1. For a general rotational motion, angular momentum L and angular velocity $\omega$ need not be parallel.
  1. For a general translational motion , momentum P and velocity v are aways parallel.

Explanation:

  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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