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A particle moves in x-y plane according to rule x = a\sin \omega t  and  y= a\cos \omega t. The particle follows 

  • Option 1)

    An elliptical path

  • Option 2)

    A circular path

  • Option 3)

    A parabolic path

  • Option 4)

    A straight line path inclined equally to x and y axis 

 

Answers (1)

best_answer

\\*\frac{x}{a} = \sin\omega t \\*\frac{y}{a} = \cos\omega t \\* \frac{y^2}{a^{2}} + \frac{x^2}{a^{2}} = 1\Rightarrow y^{2} + x^{2} = a^{2}


Option 1)

An elliptical path

This is incorrect.

Option 2)

A circular path

This is correct.

Option 3)

A parabolic path

This is incorrect.

Option 4)

A straight line path inclined equally to x and y axis 

This is incorrect.

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Aadil

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