Oscillations Ques 61

A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, then the time period is given by $T=2 \pi \sqrt{(l / \sqrt{g^2 + a^2})}$, where $g$ is equal to

[1991]s

$g$

(b) $g-a$

(c) $g+a$

(d) $\sqrt{(g^{2}+a^{2})}$

Show Answer

Answer:

Correct Answer: 61.(d)

Solution:

  1. (d) The effective value of acceleration due to gravity is $\sqrt{g^{2}+a^{2}}$

If a simple pendulum is suspended from a trolley that is moving with constant speed $v$ around a circle

$ \text{ circle of radius } r T=2 \pi \sqrt{\frac{l}{g+(\frac{v^{2}}{r})}} $



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