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A rigid body is rotating about a fixed axis. If the moment of inertia of the bod

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

Options:

  1. Iω
  2. I/ω
  3. Iω^2
  4. ω/I

Correct Answer: Iω

Solution: 

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

A rigid body is rotating about a fixed axis. If the moment of inertia of the bod

Practice Questions

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

Questions & Step-by-Step Solutions

A rigid body is rotating about a fixed axis. If the moment of inertia of the body is I and it is rotating with an angular velocity ω, what is its angular momentum?
  • Step 1: Understand that a rigid body is an object that does not deform when forces are applied to it.
  • Step 2: Recognize that the body is rotating about a fixed axis, meaning it spins around a specific line that does not move.
  • Step 3: Identify the moment of inertia (I), which is a measure of how difficult it is to change the rotation of the body. It depends on the mass distribution of the body.
  • Step 4: Know that angular velocity (ω) is the rate at which the body is rotating, measured in radians per second.
  • Step 5: Learn the formula for angular momentum (L), which is given by the product of the moment of inertia and the angular velocity: L = Iω.
  • Step 6: Conclude that to find the angular momentum of the rotating body, you simply multiply its moment of inertia (I) by its angular velocity (ω).
  • 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 its 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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