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A rigid body is rotating about a fixed axis with an angular velocity ω. If its m
A rigid body is rotating about a fixed axis with an angular velocity ω. If its moment of inertia is I, what is its angular momentum?
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Practice Questions
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Q1
A rigid body is rotating about a fixed axis with an angular velocity ω. If its moment of inertia is I, what is its angular momentum?
Iω
ω/I
I/ω
Iω^2
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Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Questions & Step-by-step Solutions
1 item
Q
Q: A rigid body is rotating about a fixed axis with an angular velocity ω. If its moment of inertia is I, what is its angular momentum?
Solution:
Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Steps: 6
Show Steps
Step 1: Understand that a rigid body is an object that does not deform when forces are applied to it.
Step 2: Recognize that when a rigid body rotates, it does so around a fixed axis.
Step 3: Identify the angular velocity (ω), which is the rate at which the object is rotating.
Step 4: Know that the moment of inertia (I) is a measure of how mass is distributed in the object relative to the axis of rotation.
Step 5: Learn the formula for angular momentum (L), which is given by L = Iω.
Step 6: Substitute the values of moment of inertia (I) and angular velocity (ω) into the formula to find the angular momentum.
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