Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

# Problem: The position of a mass oscillating on a spring is given by x = ( 3.6 cm) cos[2πt/(0.67s)].A. What is the period of this motion?T=? sB. What is the first time the mass is at the position x = 0?t=? s

###### FREE Expert Solution

A.

For a harmonic motion, the displacement equation is:

$\overline{){\mathbf{x}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{T}}{\mathbf{t}}{\mathbf{\right)}}}$

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###### Problem Details

The position of a mass oscillating on a spring is given by x = ( 3.6 cm) cos[2πt/(0.67s)].

A. What is the period of this motion?

T=? s

B. What is the first time the mass is at the position x = 0?

t=? s