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Solve! The radius of circle , the period of revolution , initial poisition and sense of revolution are indicated in figy-projection of the radius vector of rotating particle P is

The radius of circle , the period of revolution , initial poisition and sense of revolution are indicated in fig 

y-projection of the radius vector of rotating particle P is

  • Option 1)

    y ( t ) = -3 \cos 2 \pi t , \: \: where \: \: y \: \: in \, \, m

  • Option 2)

    y ( t ) = 4 \sin \left (\frac{ \pi t}{2} \right ) , \: \: where \: \: y \: \: in \, \, m

  • Option 3)

    y ( t ) = 3 \cos\left ( \frac{3 \pi t }{2} \right ) , \: \: where \: \: y \: \: in \, \, m

  • Option 4)

    y ( t ) = 3 \cos\left ( \frac{\pi t }{2} \right ) , \: \: where \: \: y \: \: in \, \, m

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At t =  0 , position is at 3 cm 

and

 \omega t = 2 \pi f t \\\\ = \frac{2 \pi t }{T} \\\\ = \frac{2 \pi t }{4} = \frac{\pi t }{2} \\\\ y = 3 \cos \left ( \frac{\pi t }{2} \right )


Option 1)

y ( t ) = -3 \cos 2 \pi t , \: \: where \: \: y \: \: in \, \, m

Option 2)

y ( t ) = 4 \sin \left (\frac{ \pi t}{2} \right ) , \: \: where \: \: y \: \: in \, \, m

Option 3)

y ( t ) = 3 \cos\left ( \frac{3 \pi t }{2} \right ) , \: \: where \: \: y \: \: in \, \, m

Option 4)

y ( t ) = 3 \cos\left ( \frac{\pi t }{2} \right ) , \: \: where \: \: y \: \: in \, \, m

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