The x and y co-ordinates of a particle is x - Asin -t and y - Asin -t -2 - Then the motion of the particle is x and y are in the directions shown in the fgure

The correct option is A Circular anticlockwise x=Asin(ω t) y=Asin(ω t+π2) At t=0: x=0, y=Asin(π2)=A At t=T2=2π2×ω=πω: x=Asin (π)=0, y=As ...

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Byju's Answer

Standard XII

Physics

Uniform Circular Motion

The x and y c...

Question

The x and y co-ordinates of a particle is x = Asin( $ω t$ ) and y = Asin( $ω t + \frac{π}{2}$ ) . Then the motion of the particle is ( x and y are in the directions shown in the fgure )

Circular anticlockwise

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Circular clockwise

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Elliptical clockwise

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Rectilinear

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Solution

The correct option is A Circular anticlockwise
$x = A sin (ω t)$
$y = A sin (ω t + \frac{π}{2})$
At $t = 0 : x = 0, y = A sin (\frac{π}{2}) = A$
At $t = \frac{T}{2} = \frac{2 π}{2 \times ω} = \frac{π}{ω} :$
$x = A sin (π) = 0, y = A sin (π + \frac{π}{2}) = A sin (\frac{3 π}{2}) = - A$
$∴$ Motion is circular anti-clockwise

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The x and y co-ordinates of a particle is x = Asin(ωt) and y = Asin(ωt+π2) . Then the motion of the particle is ( x and y are in the directions shown in the fgure )

The correct option is A Circular anticlockwisex=Asin(ωt)y=Asin(ωt+π2)At t=0:x=0,y=Asin(π2)=AAt t=T2=2π2×ω=πω:x=Asin(π)=0,y=Asin(π+π2)=Asin(3π2)=−A∴ Motion is circular anti-clockwise

The x and y co-ordinates of a particle is x = Asin( $ω t$ ) and y = Asin( $ω t + \frac{π}{2}$ ) . Then the motion of the particle is ( x and y are in the directions shown in the fgure )