Concept explainers
The increase in the moment of inertia.
Answer to Problem 21PP
The moment of inertia is increased by a factor of 4.
Explanation of Solution
Given:
The original distance from the center is
The increased distance from the center is
The mass is equal. Let it be m .
Total mass is 2m .
Formula Used:
The moment of inertia is the sum of the product of the mass of each particle ( m ) and the square of the distance from the axis of rotation ( r ).
Calculation:
Initialmoment of Inertia is
Final moment of inertia is
Take the ratio:
Conclusion:
The moment of inertia is increased by a factor of 4.
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Glencoe Physics: Principles and Problems, Student Edition
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