Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question
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Question

What is the moment of inertia of a hollow cylinder of mass m, with inner radius R₁ and outer radius R₂, about its central axis?
Options
A m(R₁² + R₂²)
B ½ m(R₁² + R₂²)
Correct Answer
C m(R₂² - R₁²)
D ½ m(R₂² - R₁²)
Correct Answer

Option B is the correct answer.

Detailed Explanation

The formula for the moment of inertia of a hollow cylinder (or thick-walled cylinder) rotating about its central axis is given as I = ½ m (R₁² + R₂²), where R₁ is the inner radius and R₂ is the outer radius.

Hint

Check the list of provided formulas for the moment of inertia of a hollow cylinder.

Question Info

Course: PHY 101
Topic: Mechanical Equilibrium and Rotational Dynamics
Type: Objective
Difficulty: Not specified
Question 573 of 1250
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