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The displacement of two particles of sam...

The displacement of two particles of same mass executing SHM are represented by the equations
`x_(1)=4"sin"(10t+(pi)/(6))` and `x_(2)=5"cos"(omegat)`.
The value of `omega` for which the energies of both the particles remain same is

Text Solution

Verified by Experts

`E= (1)/(2)mA^(2)omega^(2) i.e., E prop (Aomega)^(2)`
`(A_(1)omega_(1))^(2)= (A_(2)omega_(2))^(2) " " A_(1)omega_(1)= A_(2)omega_(2)`
`4 xx 10 = 5 xx omega" " omega= 8` unit
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