Practice Simple Harmonic Motion in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Repetitive back-and-forth motion where the restoring force is proportional to displacement.

A spring or pendulum that bounces back and forth in a smooth, repeating pattern.

Example 1

easy
A mass-spring system has a spring constant k = 50 \text{ N/m} and mass m = 2 \text{ kg}. What is the period of oscillation?

Example 2

medium
A simple pendulum has a length of 1 \text{ m}. What is its period on Earth (g = 9.8 \text{ m/s}^2) and on the Moon (g = 1.6 \text{ m/s}^2)?

Example 3

medium
A 0.3 \text{ kg} mass on a spring oscillates with amplitude 0.1 \text{ m} and period 0.8 \text{ s}. What is the maximum speed of the mass?

Example 4

hard
A 0.5 \text{ kg} mass on a spring (k = 200 \text{ N/m}) oscillates with amplitude 0.04 \text{ m}. What is the total energy of the system, and what is the speed when the displacement is 0.02 \text{ m}?
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