Physics 9702/53 — May/June 2023

A wooden cube of mass $A$ is placed on an inclined plane. The cube is attached to a cylinder of mass $B$ using string that passes over a pulley, as shown in Fig. 1.1.

The angle between the plane and the horizontal surface is $\theta$. Initially the cylinder is held at rest.

The cylinder is released. The time for the cylinder to fall a distance $d$ is $t$.

It is suggested that $t$ is related to $\theta$ by the relationship

$$\frac{2d}{t^2} = \frac{AH \sin\theta}{(A + B)} - \frac{KA}{(A + B)}$$

where $H$ and $K$ are constants.

Plan a laboratory experiment to test the relationship between $t$ and $\theta$.

Draw a diagram showing the arrangement of your equipment.

Explain how the results could be used to determine values for $H$ and $K$.

In your plan you should include:

● the procedure to be followed

● the measurements to be taken

● the control of variables

● the analysis of the data

● any safety precautions to be taken.