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The displacement of a particle along the x-axis is given by x = a\sin^{2} wt. The motion of the particle corresponds to

  • Option 1)

    Simple harmonic motion of frequency \frac{\omega }{2\pi }

  • Option 2)

    Simple harmonic motion of frequency \frac{\omega }{\pi }

  • Option 3)

    Simple harmonic motion of frequency \frac{3\omega }{2\pi }

  • Option 4)

    No simple harmonic motion

 

Answers (1)

best_answer

x = a\sin^{2}\omega t = \frac{a}{2}(1 - \cos2\omega t)

 

Oscillation -

An Oscillation is a special type of periodic motion in which a particle moves to and fro about a fixed point called mean position of particle.

- wherein

e.g. clock at railway station.

 

 

 


Option 1)

Simple harmonic motion of frequency \frac{\omega }{2\pi }

This is incorrect.

Option 2)

Simple harmonic motion of frequency \frac{\omega }{\pi }

This is incorrect.

Option 3)

Simple harmonic motion of frequency \frac{3\omega }{2\pi }

This is incorrect.

Option 4)

No simple harmonic motion

This is correct.

Posted by

Avinash

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