Physics 9702/35 — May/June 2022

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

● Add a $100\text{ g}$ mass to the $100\text{ g}$ mass hanger to make a total mass $m$ of $200\text{ g}$.
● Suspend mass $m$ from the longest string loop.
● Record $m$.

$m$ = ______ $\text{g}$

● Suspend the $50\text{ g}$ mass hanger from the shortest string loop.
● Adjust the position of the wooden strip in the string loop attached to the spring until the strip balances. Use some of the adhesive putty to fix this string loop to the strip.
● Pull mass $m$ down to the bench and secure it to the bench using adhesive putty.
● With mass $m$ stuck to the bench, adjust the height of the boss until the wooden strip is parallel to the bench, as shown in Fig. 1.2.

● Pull the $50\text{ g}$ mass hanger down through a short distance.
● Release the $50\text{ g}$ mass hanger. The hanger will oscillate.
● Determine the period $T$ of these oscillations.

$T$ = ______

● Carefully remove all the adhesive putty from mass $m$ and the strip.

Vary $m$ and repeat (a) with different values of $m$ until you have six sets of readings of $m$ and $T$.

Record your results in a table. Include values of $\frac{T}{m}$ and $\frac{1}{m}$ in your table.

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

where $P$ and $Q$ are constants.

Using your answers in (c)(iii), determine values for $P$ and $Q$.
Give appropriate units.

$P$ = ______
$Q$ = ______