Physics 9702/52 — October/November 2021

A student investigates the extension of a spring supporting a wooden strip, as shown in Fig. 1.1.

One end of the strip is at point P. The strip has length $L$ and is at an angle $\theta$ to the bench.

The spring is attached to the strip by a wire at a distance $d$ from point P. The wire is at an angle $\beta$ to the strip. The spring has extension $x$.

It is suggested that the relationship between $x$ and $\theta$ is

where $k$ is the spring constant of the spring and $W$ is a constant.

Design a laboratory experiment to test the relationship between $x$ and $\theta$.
Explain how your results could be used to determine a value for $W$.

You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to:

• 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.