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A point mass m is suspended at the end o...

A point mass m is suspended at the end of a massless wire of length l and cross section. If Y is the Young's modulus for the wire, obtain the frequency of oscillation for the simple harmonic motion along the vertical line.

A

`(1)/(2pi)sqrt((LA)/(mY))`

B

`(1)/(2pi)sqrt((LAm)/(Y))`

C

`(1)/(2pi)sqrt((YA)/(mL))`

D

`(1)/(2pi)sqrt((mY)/(AL))`

Text Solution

Verified by Experts

The correct Answer is:
C
(c)`k=(YA)/(L)
therefore f=(1)/(2pi)sqrt((k)/(m))=(1)/(2pi)sqrt((YA)/(mL))`
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