Lesson: Simple Harmonic Motion Mathematics

In this lesson, we will learn how to analyze the simple harmonic motion of an object.

Lesson Plan

Students will be able to

calculate periods, amplitudes, and frequencies of simple harmonic motion,
calculate speeds and accelerations in simple harmonic motion.

Lesson Worksheet

Q1:

A 6 kg mass attached to a spring is observed to oscillate with a period of 3 s. What is the period of oscillation if a 8 kg mass is attached to the spring?

Q2:

A mass on a spring oscillates with a period of 0.8 s and an amplitude of 8 cm. At , it is 4 cm to the left of equilibrium and moving to the left. What is the magnitude of the velocity of the mass at time t = 2 s?

Q3:

A particle is moving along a straight line with simple harmonic motion. Its maximum acceleration is 10 ms⁻² and its maximum speed is 3 ms⁻¹. Calculate the amplitude of the motion.