Concept explainers
(a)
The period.
(a)
Answer to Problem 75P
The period is
Explanation of Solution
Write an expression for the period.
Here,
Conclusion:
Substitute
Thus, the period is
(b)
The percentage age of the total mass of the pendulum in the uniform thin rod.
(b)
Answer to Problem 75P
The percentage age of the total mass of the pendulum in the uniform thin rod is
Explanation of Solution
Refer figure 1.
Figure 1
Write an expression for the net rotational moment of inertia
Here,
Write an expression to find the distance from the pivot to the center of mass of the compound object.
Write an expression for the period.
Rearrange equation (IV).
Conclusion:
Substitute
Thus, the percentage age of the total mass of the pendulum in the uniform thin rod is
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