What happens to the rotational inertia of a simple pendulum when both the mass of the bob and the length of the pendulum are halved?
Resulting rotational inertia.
Answer to Problem 44A
The resulting rotational inertia is one-eighth times the original one that is
Explanation of Solution
Given:
Mass of the bob is halved.
Length of the pendulum is also halved.
Formula Used:
The rotational inertia of simple pendulum is given as,
Where,
Calculation:
New mass of bob is,
New length of pendulum is,
So resulting rotational inertia is,
Conclusion:
Therefore, the resulting rotational inertia of simple pendulum is one-eighth times the original one that is
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