Consider a disc rotating in the horizontal plane with a constant angular speed omega about its center O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection in the y-z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed 1//8 rotation, (ii) their range is less than half the disc radius, and (iii) omega remains constant throughout. Then

Consider a disc rotating in the horizontal plane with a constant angul

1.	Consider a disc rotating in the horizontal plane with a constant angular speed omega about its center O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection in the y-z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed 1//8 rotation, (ii) their range is less than half the disc radius, and (iii) omega remains constant throughout. Then
Answer» P lands in the SHADED region and Q in the UNSHADED region. P lands in the unshaded region and Q in the shaded region. Both P and Q land in the unshaded region. Both P and Q land in the shaded region. Solution :C. At `t = 1/8 xx (2pi)/omega = pi/(4OMEGA)` x-coordinate of `P = omegaR (pi/(4omega))` `= (piR)/4gtR COS 45^@` Therefore, both particles P and Q land in unshaded region.