# Mechanical vibrations

1. Jan 26, 2009

### s7b

Hi,

I don't understand how to go about solving a problem like this;

A weight stretches a spring 3 inches. It is set in motion at a point 4 inches below it's equilibrium point with zero velocity.

-Find the maximum amplitude
-When does it reach (the first time) it's highest point
-Find it's maximum velocity

2. Feb 7, 2009

### matematikawan

$$m\ddot{y} + ky = 0$$
which is a simple harmonic motion

This will allowed you to compute k/m.

This is the initial condition which will allowed you to determined the arbitrary constants when solving the governing equation.