# A mass on a spring is moving with simple harmonic motion. After a time t, the height h of the...

## Question:

A mass on a spring is moving with simple harmonic motion. After a time t, the height h of the mass above its rest position is given by the following formula.

{eq}h = a\cos(\omega t - c) {/eq}

Find the height of the mass when a = 5.4 m, {eq}\omega = 3 \pi/17 {/eq}rad/s, t = 3 s, and{eq}c = 2 \pi/17 {/eq} rad.

## Mass on a Spring

In solid state physics, the harmonic motion of a mass on a spring is also used to simulate the vibrations of atoms and molecules in a solid crystal. The vibration of atoms or molecules in a crystal is often called as phonon.

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We can calculate for the height by simply substituting given values into the height formula.

{eq}h(t) = a\cos(\omega t - c)\\[0.2cm] h(3)=5.4\,\rm... Hooke's Law & the Spring Constant: Definition & Equation

from

Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.