Classical Mechanics - Small Oscillation

Two circular hoops, X and Y, are hanging on nails in a wall. The mass of X is four times that of Y, and the diameter of X is also four times that of Y. If the period of small oscillations of X is T, the period of small oscillations of Y is

A. T
B. T/2
C. T/4
D. T/8
E. T/16
(GR9277 #74)
Solution:

Small oscillation → simple pendulum.

Period of simple pendulum:



In this case, = radius of the hoop.



Answer: B

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