If a body is rotating about an axis, passing through its centre of mass then its angular momentum is directed along its:

  1. Radius
  2. Tangent
  3. Axis of rotation
  4. None of these

Answer (Detailed Solution Below)

Option 3 : Axis of rotation
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Detailed Solution

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CONCEPT:

Angular Momentum

  • It is the property of a rotating body and it is defined as the product of the moment of inertia and the angular velocity of the rotating object.
  • It is a vector quantity

\(\Rightarrow \vec{L}=I\times\vec{\omega}\)     

where I = moment of inertia and ω = angular velocity

EXPLANATION:

  • Mathematically, the angular momentum is written as

\(\Rightarrow \vec{L}=I\times\vec{\omega}\)     -----(1)

  • Since the angular velocity acts along the axis of rotation, so by equation 1 it is clear that the angular momentum will also act along the axis of rotation.
  • Hence, option 3 is correct.
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