Question

The graph below shows the vertical displacement of a mass suspended on a spring from its rest position. Determine the period and amplitude of the displacement of the mass as shown in the graph. ?

Answer 1

As the graph reveals that it has a maximum value o displacement `y= 20cm` at t=0 , it follows the cosine curve with amplitude 20cm. It has got just next maximum at `t=1.6s`. So the time period is `T=1.6s`

And the following equation satisfies those conditions.

`y=20cos((2pit)/1.6) cm`