In each of the three graphs a, b and c in Figure, give the phase difference between the two curves:

In degrees

In each of the three graphs a, b and c in Figure, give the phase difference between the two curves in radians.

Determine the frequency and the period of the oscillation described by this graph.

Use a copy of the graph and on the same axes sketch:

The velocity of the particle

Use a copy of the graph and on the same axes sketch:

The acceleration of the particle

These graphs show the displacement of a body as it vibrates between two points

State and explain whether the body is moving with simple harmonic motion.

These graphs show the displacement of a body as it vibrates between two points.

Make a copy of the three graphs

(i)On the second set of axes on your copy show the velocity of the body as it vibrates.
(ii)On the third set of axes on your copy, show the acceleration of the body.

This diagram shows the piston of a small car engine that oscillates in the cylinder with a motion that approximates simple harmonic motion at $4200$revs per minute $\left(1rev=1cycle\right).$. The mass of the piston is $0.24kg$

Explain what is meant by simple harmonic motion

Shows the piston of a small car engine that oscillates in the cylinder with a motion that approximates simple harmonic motion at $4200$ revs per minute $\left(1rev=1cycle\right).$ The mass of the piston is $0.24kg$

Calculate the frequency of the oscillation.