Question

The figure shows the displacement-time graph of a particle executing `SHM`. If the time period of oscillation is `2s`, then the equation of motion is given by

Answer 1

In the case of SHM
`x = A sin (omega t+ phi)`
or `5 = 10 sin (omega xx 0 + phi) (Here A = 10 nm = 0.01 m)`
`:. sin phi = (1)/(2)`
`implies phi = (pi)/(6)`
Here, `omega = (2 pi)/(T) = (2 pi)/(2) = pi`
`:. x = 0.01 sin (pi t + (pi)/(6))` where x is in metre.