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.

This diagram shows a turntable with a rod attached to it a distance $15 \mathrm{cm}$ From the centre. The turntable is illuminated from the side so that a shadow is cast on a screen.

A simple pendulum is placed behind the turntable and is set oscillating so that it has an amplitude equal to the distance of the rod from the centre of the turntable. The speed of rotation of the turntable is adjusted. When it is rotating at $1.5$ Revolutions per second the shadow of the pendulum and the rod are found to move back and forth across the screen exactly in phase. Explain what is meant by the term in phase.

This diagram shows a turntable with a rod attached to it a distance $15 \mathrm{cm}$ From the centre. The turntable is illuminated from the side so that a shadow is cast on a screen.

A simple pendulum is placed behind the turntable and is set oscillating so that it has an amplitude equal to the distance of the rod from the centre of the turntable. The speed of rotation of the turntable is adjusted. When it is rotating at $1.5$ Revolutions per second the shadow of the pendulum and the rod are found to move back and forth across the screen exactly in phase. Explain what is meant by the term in phase. Write down an equation to describe the displacement $x$ of the pendulum from its equilibrium position and the angular frequency of the oscillation of the pendulum.