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?
Iω
I/ω
Iω^2
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.
