In this experiment, you will investigate the oscillation of a mass-spring system. (a) Assemble the apparatus as shown in Fig. 1.1, with the rods of both clamps at an equal height of approximately $50\text{ cm}$ above the bench. (i) The angle between the two lengths of string is $\theta$, as shown in Fig. 1.1. Adjust the positions of the stands so that $\theta$ is approximately $165^{\circ}$. Use the two G-clamps to secure the stands to the bench. The stands should remain in…

Physics 9702/34 — May/June 2017

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

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Topics Manipulation, Measurement and Observation · Presentation of Data and Observations · Analysis, Conclusions and Evaluation

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will investigate the oscillation of a mass-spring system.

(a) Assemble the apparatus as shown in Fig. 1.1, with the rods of both clamps at an equal height of approximately $50\text{ cm}$ above the bench.

Fig. 1.1

(a)

(i)

The angle between the two lengths of string is $\theta$ , as shown in Fig. 1.1. Adjust the positions of the stands so that $\theta$ is approximately $165^{\circ}$ .

Use the two G-clamps to secure the stands to the bench.
The stands should remain in these positions for the rest of the experiment.

(ii)

Add $200\text{ g}$ to the mass hanger.

(iii)

Record the total mass $M$ of the mass hanger and added mass.

$M$ = ______

(iv)

Measure and record the height $h$ of the bottom of the mass hanger above the bench.

$h$ = ______ $\text{cm}$

(v)

Pull down the mass hanger through a distance of approximately $2\text{ cm}$ . Release the mass hanger so that it oscillates vertically.

Determine the period $T$ of the vertical oscillations.

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

(b)

Change $M$ and repeat (a)(iii), (a)(iv) and (a)(v) until you have six sets of values of $M$ , $h$ and $T$ .
Record your results in a table.
Include values of $T^3$ in your table.

10M

(c)

(i)

Plot a graph of $T^3$ on the $y$ -axis against $h$ on the $x$ -axis.

(ii)

Draw the straight line of best fit.

(iii)

Determine the gradient and $y$ -intercept of this line.

gradient = ______
$y$ -intercept = ______

(d)

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

T^3 = ah + b

where $a$ and $b$ are constants.

Use your answers in (c)(iii) to determine the values of $a$ and $b$ .
Give appropriate units.

$a$ = ______
$b$ = ______

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