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A body executes SHM according to the equ...

A body executes SHM according to the equation, `y=6sin(2pit+pi//6)`. At `t=2`s, calculate speed

Text Solution

Verified by Experts

We are given :
`y=6sin(2pit+(pi)/(6))`.
Here `omega=2pi" rad/s"T=(2pi)/(omega)=1s`
Velocity
`v=(dy)/(dt)=omegasqrt(A^(2)-y^(2))=2pisqrt(6^(2)-3^(2))=2pisqrt(36-9)=2pisqrt(27)`
`v=6sqrt(3)pi" m/s"`
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