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A string with tension T and mass per uni...

A string with tension T and mass per unit length `mu` is clamped down at x=0 and at x=L. at t=0, the string is at rest and displaced in the y-direction
`y(x,0)=2"sin"(2pix)/(L)+2"sin"(pix)/(L)`
Q. What is the total energy at t=0?

A

`(25Tpi^(2))/(4L)`

B

`(25Tpi^(2))/(8L)`

C

`(25Tpi^(2))/(2L)`

D

`(25Tpi^(2))/(16L)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • A string with tension T and mass per unit length mu is clamped down at x=0 and at x=L. at t=0, the string is at rest and displaced in the y-direction y(x,0)=2"sin"(2pix)/(L)+2"sin"(pix)/(L) Q. At what time t will the string for the first time have exactly the same shape as it did at time t=0?

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