Question

A simple harmonic motion is represented by tatxw=cos)( Obtain expressions for velocity and acceleration of the oscillator. Also, plot the time variation of displacement, velocity and acceleration of the oscillator.

Answer 1

Answer on Question #65502, Physics / Mechanics | Relativity

A simple harmonic motion is represented by $x(t) = \cos t$ . Obtain expressions for velocity and acceleration of the oscillator. Also, plot the time variation of displacement, velocity and acceleration of the oscillator.

Solution

$$v (t) = \frac {d x (t)}{d t} = - \sin t$$ $$a (t) = \frac {d v (t)}{d t} = - \cos t$$

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