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.
Create a free account to view solution
View Solution FreeMore Rotational Motion Questions
A thin rod of length L is suspended from one end and rotated with n rotations per second. The rotational kinetic energy ...A uniform rod AB of length is free to rotate about a horizontal axis passing through A. The rod is released from rest fr...A smooth tube of certain mass is rotated in gravity free space and released. The two balls shown in the figure move towa...A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is...In the following figure r1 and r2 are 5 cm and 30 cm respectively. If the moment of inertia of the wheel is 5100 kg-m2 t...