Question

a Simple harmonic motion is represented by x(t)=a cos(omega)t obtain expression for velocity and accel;eration of the oscillationr Also plot thevtime variation of displacement, velocity & acceleration of the oscillator.

Answer 1

Answer on Question #66219-Physics - Molecular Physics Thermodynamics

a Simple harmonic motion is represented by $x(t) = a \cos(\omega \omega t)$ obtain expression for velocity and acceleration of the oscillation. Also plot the time variation of displacement, velocity & acceleration of the oscillator.

Solution

The displacement in the case of harmonic motion is given by

$$x (t) = a \cos \omega t.$$

The velocity

$$v (t) = x ^ {\prime} (t) = - a \omega \sin \omega t.$$

The acceleration

$$a (t) = v ^ {\prime} (t) = - a \omega^ {2} \cos \omega t$$

Let $a = 1$ , $\omega = 2$

Answer provided by https://www.AssignmentExpert.com