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. ?

Question

Josiah Anderson · Accepted Answer

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#

Kai Anderson · Answer

undefined To determine the period and amplitude of the displacement of the mass from the graph, follow these steps:

1. Period:
   - The period $ T $ is the time it takes for one complete cycle of the motion.
   - Identify one complete cycle on the graph. This is usually from one peak (maximum displacement) to the next peak or from one trough (minimum displacement) to the next trough.
   - Measure the time it takes for this complete cycle. This time period represents the period $ T $.

2. Amplitude:
   - The amplitude $ A $ is the maximum displacement of the mass from its rest position.
   - Identify the highest peak and the lowest trough on the graph.
   - Measure the vertical distance between the rest position and either the peak or the trough. This vertical distance represents the amplitude $ A $.

Once you have measured the period and amplitude from the graph, you'll have the required values.

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. ?