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.

The turntable rotates through $60°$ From the position of maximum displacement shown in the diagram.Through what further angle must the turntable rotate before it has this speed again?

When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60Hz with an amplitude of 2.8mm. The vibrational movement of the bat handle can be modelled on simple harmonic motion. State the conditions for simple harmonic motion.

When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60Hz with an amplitude of 2.8mm. The vibrational movement of the bat handle can be modelled on simple harmonic motion. Calculate the maximum acceleration of the bat handle.

When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60Hz with an amplitude of 2.8mm. The vibrational movement of the bat handle can be modelled on simple harmonic motion. Given that the part of the bat handle held by the cricketer has a mass of $0.48 kg$, calculate the maximum force produced on his hands.

When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60Hz with an amplitude of 2.8mm. The vibrational movement of the bat handle can be modelled on simple harmonic motion. The oscillations are damped and die away after about five complete cycles. Sketch a displacement- time graph to show the oscillations.

Seismometers are used to detect and measure the shock waves that travel through the Earth due to earthquakes.

This diagram shows the structure of a simple seismometer. The shock wave will cause the mass to vibrate, causing a trace to be drawn on the paper scroll.

The frequency of a typical shock wave is between $30$ and $40 Hz$. Explain why the natural frequency of the spring- mass system in the seismometer should be very much less than this range of frequencies. This graph shows the acceleration of the mass against its displacement when the seismometer is recording an earthquake.

Seismometers are used to detect and measure the shock waves that travel through the Earth due to earthquakes. This diagram shows the structure of a simple seismometer. The shock wave will cause the mass to vibrate, causing a trace to be drawn on the paper scroll.

The graph in figure shows the acceleration of the mass against its displacement when the seismometer is recording an earthquake.

What evidence does the graph give that the motion is simply harmonic ?

Seismometers are used to detect and measure the shock waves that travel through the Earth due to earthquakes.

This diagram shows the structure of a simple seismometer. The shock wave will cause the mass to vibrate, causing a trace to be drawn on the paper scroll.

The graph in figure shows the acceleration of the mass against its displacement when the seismometer is recording an earthquake.

Use information from the graph to calculate the frequency of the oscillation.