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The simple harmonic motion (SHM) is an oscillatory movement around one point of equilibrium. A oscillation is an oscillation that is back and forth and equilibrium is the condition that a system could exist in. In equilibrium, the forces acting on the system are balanced while the whole system remains in equilibrium.

The SHM meaning is graphically expressed as a wave mathematically, the wave is described using combinations of cosine and sine functions. You can explain the SHM through the structure of waves. A wave’s frequency is usually measured in seconds, and is an indication of the number of complete cycles of the wave happen in a second. The length, or duration of the wave is a measure of the length is required to go through one cycle of a wave and also the amplitude of the wave is the measurement of the distance from equilibrium the wave can travel.

PART (a):The graph shows that we have

T = 12 sas the time period.Therefore, the Angular frequency can be given by:

We all know that maximum velocity can be achieved by:

Where

Arepresents the amplitude of the SHM.Therefore, Amplitude of the oscillation is given by:PART (b):We all know that velocity can be achieved by:

At t = 0 s, V = -30 cm/s = -0.3 m/sSubstituting values:

PART (c):Position at t= 0 s is given by: