A particle executes SHM of period 12 seconds and amplitude 8 cm. Find time it takes to travel 3 cm from the positive extremity of its oscillation.

Options

A. 1.7 s
B. 0.27 s
C. 0.2 s
D. 2.7 s

Answer

C

Explanation

`x=Acosomegat`
`8-4.5=8cos.(2pi)/(T)t`
`(3.5)/(8)=cos.(2pi)/(1.2)t`
`(2pi)/(1.2)t=cos^(-1)((3.5)/(8))=cos^(-1)(0.43)`
`(2pi)/(1.2)t=(pi)/(3)`
`t=0.2s`