Rotational MotionHard
Question
Consider a disc rotating in the horizontal plane with a constant angular speed ω about its centreO. The disc has a shaded region on one side of the diameter and an unshaded region on theother side as shown in the figure. When the disc is in the orientation as shown, two pebbles Pand Q are simultaneously projected at an angle towards R. The velocity of projection is in the y-zplane and is same for both pebbles with respect to the disc. Assume that (i) they land back onthe disc before the disc has completed 
rotation, (ii) their range is less than half the disc radius,and (iii) ω remains constant throughout. Then
rotation, (ii) their range is less than half the disc radius,and (iii) ω remains constant throughout. Then Options
A.P lands in the shaded region and Q in the unshaded region.
B.P lands in the unshaded region and Q in the shaded region.
C.Both P and Q land in the unshaded region.
D.Both P and Q land in the shaded region.
Solution
At t =
x - coordinate of P =
> R cos 45o ∴ Both particles P and Q land in unshaded region.
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