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The displacement of two identical partic...

The displacement of two identical particles executing `SHM` are represented by equations `x_(1) = 4 sin (10t+(pi)/(6)) & x_(2) = 5 cos (omegat)` For what value of `•`, energy of both the particles is same.

A

`16` units

B

`6` units

C

`4` units

D

`8` units

Text Solution

Verified by Experts

`E=(1)/(2)m(Aomega)^(2)`
`E prop (Aomega)^(2)`
`(A_(1)omega_(1))^(2)=(A_(2)omega_(2))^(2)`
`4xx10=5omegarArromega=8` units
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