Question Detail

PHY 101 Rotational Motion Objective Question
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Question

For a system of particles, the total moment of inertia I about an axis is calculated as
Options
A ∑ m_i r_i
B ∑ m_i² r_i
C ∑ m_i r_i²
Correct Answer
D ∏ m_i r_i²
Correct Answer

Option C is the correct answer.

Detailed Explanation

The moment of inertia for a composite object or system of particles is the sum of the moments of inertia of its individual particles. For each particle, I_i = m_i r_i². Therefore, the total I = ∑ m_i r_i² = m₁r₁² + m₂r₂² + ...

Hint

This is a summation of the point mass formula over all particles in the system.

Question Info

Course: PHY 101
Topic: Rotational Motion
Type: Objective
Difficulty: Not specified
Question 753 of 1250
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