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 `omega`, energy of both the particles is same.

Explanation

`E = (1)/(2)mA^(2) omega^(2), E_(1) = E_(2) rArr 1/2 m (omega_1)^2 (A_1)^2 = 1/2 m (omega_2)^2 (A_2)^2
`4 xx 10 xx 5 xx omega
omega = 8 `unit