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?
Iω
ω/I
I/ω
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.
