Question

A mass of 0.14 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.28 m)cos[(8 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass .

Answer 1

The amplitude of oscillation for the oscillating mass is 0.28 m.

Step-by-step explanation:

Given that,

Mass = 0.14 kg

Equation of simple harmonic motion

`x(t)=(0.28\ m)\cos[(8\ rad/s)t]`....(I)

We need to calculate the amplitude

Using general equation of simple harmonic equation

`y=A\omega \cos\omega t`

Compare the equation (I) from general equation

The amplitude is 0.28 m.

Hence, The amplitude of oscillation for the oscillating mass is 0.28 m.