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A pendulum of mass m and length L is con...

A pendulum of mass `m` and length `L` is connected to a spring as shown in figure. If the bob is displaced slightly from its mean position and released, it performs simple harmonic motion. The angular frequency of the oscillation of bob is

A

`sqrt((g)/(L))`

B

`sqrt((Kh^(2)+mgL)/(mL^(2)))`

C

`sqrt(3g)/(L)`

D

`sqrt((Kh^(2))/(mL^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
`tau_(rest) =- T alpha` For small angular displacement `theta mgl sin theta = kyh =- I alpha sin theta = theta, tan theta = (y)/(h) = theta`
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Knowledge Check

  • A body of mass m is suspended from three springs as shown in figure. If mass m is displaced slightly then time period of oscillation is

    A
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    B
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