Physics 9702/33 — May/June 2019

• Set up the apparatus as shown in Fig. 1.1.
• Attach the beaker to the block of wood using modelling clay.
• The distance between the centre of each $150\text{ g}$ mass and the nearest end of the rule is $x$.

Adjust the apparatus so that the value of $x$ is approximately $20\text{ cm}$ and the rule is balanced on the beaker, as shown in Fig. 1.1.

• Record $x$.

$x$ = ______

• Pull one end of the rule down through a short distance.
• Release the end of the rule so that it oscillates.
• Determine the period $T$ of these oscillations.

$T$ = ______

Reduce $x$ by changing the positions of the $150\text{ g}$ masses on the rule. Measure and record $x$ and $T$. Repeat until you have five sets of values.

Record your results in a table.

It is suggested that the quantities $T$ and $x$ 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.

$P$ = ______
$Q$ = ______

For one particular value of $x$, the value of $T$ is the same as when there are no masses on the rule.

• Remove the masses from the rule.
• Balance the rule on the beaker and repeat (b).

$T$ = ______

• Use your value of $T$ and answers in (e) to calculate this value of $x$. Give your answer to three significant figures.

$x$ = ______