Physics 9702/35 — May/June 2021

● Set up the apparatus as shown in Fig. 1.1.

● The distance between the bottom of the cork and the centre of the bob is $d$.

The distance between the bottom of the cork and the centre of the wooden rod is $L$.

Adjust the height of the rod until the value of $L$ is approximately $10\text{ cm}$. Ensure the rod is horizontal and the string is just touching the rod.

● Measure and record $L$.

$L$ = ______

● Adjust the string in the cork until the value of $d$ is approximately $30\text{ cm}$.

● Measure and record $d$.

$d$ = ______

● Pull the bob towards you through a short distance at right angles to the rod.

● Release the bob. The bob will oscillate.

● Determine the period $T$ of these oscillations.

$T$ = ______ $\text{s}$

● Write down your value of $L$ from (a).

$L$ = ______

● Keeping $L$ constant, repeat (b) with different values of $d$ until you have five sets of values of $d$ and $T$.

Record your results in a table. Include values of $\frac{T}{\sqrt{d}}$ and $\sqrt{\frac{(d - L)}{d}}$ in your table.

It is suggested that the quantities $T$ and $d$ are related by the equation

where $P$ and $Q$ are constants.

Using your answers in (d)(iii), determine the values of $P$ and $Q$. Give appropriate units.

$P$ = ______

$Q$ = ______