CAIE A-Level Physics A2 17.2.2 E 1 2 M 2…Harmonic

[Maximum number: 2]

A block of mass m oscillates vertically on a spring, as shown in Fig. 4.1.

Fig. 4.1

The acceleration a of the block varies with displacement x from its equilibrium position, as shown in Fig. 4.2.

Fig. 4.2

The amplitude of the oscillations is 3 Y and the maximum acceleration is 2 A.

Deduce expressions, in terms of some or all of m, A and Y, for:

the energy E of the oscillations.

$E=1 / 2 m \omega^{2} x_{0}{ }^{2}$ $\begin{aligned} =1 / 2 m \times(2 A / 3 Y) \times(3 Y)^{2} =3 m A Y \end{aligned}$

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CAIE A-Level Physics A2 17.2.2 E 1 2 M 2x0 2 For the Total Energy of a System Undergoing Simple Harmonic Topic Practice