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If the displacement equation of a particle be represented by y = A\sin PT + B\cos PT, the particle executes 

  • Option 1)

    A uniform circular motion

  • Option 2)

    A uniform elliptical motion

  • Option 3)

    A SHM

  • Option 4)

    A rectangular motion

 

Answers (1)

best_answer

y = A\sin PT + B\cos PT

Let A = r\cos\theta and B = r\sin\theta

\Rightarrow y = r\sin(PT + \theta) Which is the equation of SHM


Option 1)

A uniform circular motion

This is incorrect.

Option 2)

A uniform elliptical motion

This is incorrect.

Option 3)

A SHM

This is correct.

Option 4)

A rectangular motion

This is incorrect.

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