A 0.20-kg object is attached to the end of an ideal horizontal spring that has a spring constant of 120 N/m. The simple harmonic motion that occurs has a maximum speed of 1.7 m/s. Determine the amplitude A of the motion.

A = 6.9 cm

Explanation:

Simple Harmonic Motion

A mass-spring system is a common example of a simple harmonic motion device since it keeps oscillating when the spring is stretched back and forth.

If a mass m is attached to a spring of constant k and they are set to oscillate, the angular frequency of the motion is

The equation for the motion of the object is written as a sinusoid:

Where A is the amplitude.

The instantaneous speed is computed as the derivative of the distance

And the maximum speed is

Solving for the amplitude

Computing w

Calculating A