Write down the equation which describes the simple harmonic motion of a 0.4 kg mass on a spring with a spring constant k = 100 n/m, that starts its motion (at t = 0 s) at its maximum positive displacement of +0.5 m.

The equation which describes the simple harmonic motion is

Explanation:

Given that,

Mass = 0.4 kg

Spring constant = 100 N/m

Maximum displacement = 0.5 m

We need to calculate the angular frequency

We need to find the equation which describes the simple harmonic motion

Using equation of simple harmonic motion

Where, A = amplitude

= angular frequency

Put the value of angular frequency

Put the value in the equation

Hence, The equation which describes the simple harmonic motion is