The oscillation of a body on a smooth horizontal surface is represented by the equation, x=Acosomegat, where x = displacement at time t, omega = frequency of oscillation. Which one of the following graphs shows correctly the variation a with t ? Here, a = acceleration at time t and T = time period.

The oscillation of a body on a smooth horizontal surface is represente

1.	The oscillation of a body on a smooth horizontal surface is represented by the equation, x=Acosomegat, where x = displacement at time t, omega = frequency of oscillation. Which one of the following graphs shows correctly the variation a with t ? Here, a = acceleration at time t and T = time period.
Answer» Solution :`x=Acosomegat`, So, VELOCITY, `V=(DX)/(dt)=-Aomegasinomegat` and acceleration, `a=(dv)/(dt)=-Aomega^(2)COSOMEGAT` Now at t = 0, `a=-Aomega^(2)` ant at t = T, `a=-Aomega^(2)`