IB Physics HL C.1.3 Simple Harmonic Motion Quantities Question Bank

Practise IB Physics HL C.1.3 by connecting amplitude and angular frequency with speed, energy, phase and displacement data.

Exam points

Use v_max = ωA and period data to calculate amplitude or maximum speed.
Combine SHM energy and displacement evidence to determine amplitude or oscillator state.
Track phase, average speed and displacement across a complete oscillation.

[Maximum number: 4]

This question is in two parts.

The graph shows how the velocity v of particle P varies with time t.

Figure for Question C.1.3—SHM quantities question 1 — IB Physics HL

Use the graph opposite to determine for the motion of P the

amplitude.

Marking guidance:

max velocity $=0.74( \pm 0.02) \mathrm{ms}^{-1}$ ;
recognize max velocity $=\omega x_{0}$ ;
$\omega=\left(\frac{2 \pi}{T}=\frac{2 \pi}{0.30}=\right) 20.9 \mathrm{rads}^{-1} ;$ $x_{0}=\left(\frac{0.74}{20.9}=\right) 3.5( \pm 0.2) \times 10^{-2} \mathrm{~m} ;$
or
identifies displacement with area; uses one quarter of a cycle;
answer in the range of 30 to 40 mm ;
answer in the range of 33 to 37 mm ;

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C.1.3—SHM quantities question 1