Two identical discs of same radius \( R \) are rotating about their axes in opposite directions ...

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Two identical discs of same radius \( R \) are rotating about their axes in opposite directions with the same constant angular speed \( \omega \). The discs are in the same horizontal plane. At time \( t=0 \), the points \( P \) and \( Q \) are facing each other as shown in the figure. The relative speed between the two points \( P \) and \( Q \) is \( v_{r} \). In one time period \( (T) \) of rotation of the discs, \( v_{r} \) as a function of time is best represented by
(1)
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(3)
(4)
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