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A rigid body rotates about a fixed axis with an angular velocity ω. If the momen

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Question: A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?

Options:

  1. Iω
  2. ω/I
  3. I/ω
  4. Iω^2

Correct Answer: Iω

Solution: 

Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.

A rigid body rotates about a fixed axis with an angular velocity ω. If the momen

Practice Questions

Q1
A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
  1. Iω
  2. ω/I
  3. I/ω
  4. Iω^2

Questions & Step-by-Step Solutions

A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
  • Step 1: Understand that a rigid body is an object that does not deform when it rotates.
  • Step 2: Recognize that the body is rotating around a fixed axis, which means it spins around a specific line that does not move.
  • Step 3: Identify the angular velocity (ω), which tells us how fast the body is rotating.
  • Step 4: Know that the moment of inertia (I) is a measure of how mass is distributed in the body and how difficult it is to change its rotation.
  • Step 5: Learn the formula for angular momentum (L), which is given by L = Iω.
  • Step 6: Substitute the values of I (moment of inertia) and ω (angular velocity) into the formula to find the angular momentum.
  • Angular Momentum – Angular momentum is a measure of the rotational motion of a rigid body, calculated as the product of its moment of inertia and angular velocity.
  • Moment of Inertia – Moment of inertia is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting the body's resistance to changes in its rotational motion.
  • Angular Velocity – Angular velocity is the rate of change of angular displacement and indicates how fast an object is rotating about an axis.
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