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.

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 $\left(1 rev=1cycle\right).$. The mass of the piston is$0.24kg$

The amplitude of the oscillation is $12.5cm$. Calculate the maximum speed at which the piston moves.

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 $\left(1 rev=1cycle\right).$ The mass of the piston is$0.24kg$ 

The amplitude of the oscillation is 12.5cm. Calculate: the maximum acceleration of the piston.

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 $\left(1 rev=1cycle\right).$ The mass of the piston is $0.24kg$

The amplitude of the oscillation is $12.5cm$. Calculate the forces required on the piston to produce the maximum acceleration.