Practice Simple Harmonic Motion in Physics
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Oscillatory motion where the restoring force is proportional to displacement from equilibrium, producing sinusoidal position over time.
A spring or pendulum that bounces back and forth in a smooth, repeating pattern.
Example 1
easyA 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
mediumA 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
mediumA 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
hardA 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}?