First slide

Periodic Motion

Question

Two pendulums suspended from same point having lengths 2m and 0.5m. If they displaced slightly and released, then they will be in same phase, when small pendulum will have completed :

Moderate

A

2 oscillations
B

4 oscillations
C

3 oscillations
D

5 oscillations

Solution

$(N + 1) T_{s} = {NT}_{l} becuase T \propto \sqrt{l} \frac{N + 1}{N} = \sqrt{\frac{l_{l}}{l_{s}}} = \sqrt{\frac{2}{0.5}} = 2 \Rightarrow N = 1 and N + 1 = 2 .$

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