IB Physics SL C.1.2 SHM Defining Equation Question Bank

Practise IB Physics SL C.1.2 by using a = −ω²x to connect acceleration, displacement, direction, period and maximum displacement.

Exam points

Use a = −ω²x to calculate acceleration, displacement or angular frequency in SHM.
Read the sign of acceleration to identify direction relative to displacement and equilibrium.
Combine period, angular frequency and displacement data to find a maximum value.

[Maximum number: 2]

This question is in two parts. Part 1 is about a thermistor circuit. Part 2 is about vibrations and waves.
Part 1 Thermistor circuit
The circuit shows a negative temperature coefficient (NTC) thermistor X and a $100 \mathrm{k} \Omega$ fixed resistor R connected across a battery.

Figure for Question C.1.2—SHM defining equation question 1 — IB Physics SL

The battery has an electromotive force (emf) of 12.0 V and negligible internal resistance.

D has mass $6.5 \times 10^{-3} \mathrm{~kg}$ and vibrates with amplitude 0.85 mm .

Calculate the maximum acceleration of D .

$\quad \omega=(2 \pi f=2 \pi \times 1250) 7854 \mathrm{rad} \mathrm{s}^{-1}$ ;

a_{0}=\left(-\omega^{2} x_{0}=-7854^{2} \times 0.85 \times 10^{-3}=\right)(-) 5.2 \times 10^{4} \mathrm{~ms}^{-2} ;

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C.1.2—SHM defining equation question 1