Consider a sisc rotating in the horizontal plane with a constant angular speedomega about its centre (O). The disc has a shade region on one side of the diameter and an unshaded region on the other side as shown in the Fig. 2 (CF) . 37, When pebbles (P) and (Q) ar simultaneously proected at an angle towards. (R ). The velocity of projection is in they-z plane and is same for both pebbles with respect to the disc . Assume that (i) they lang back on the disc beforec teh disc has completed /8 rotation, (ii) their range is less than half the disc radius, and (iii),omega remains constant throughout. Then .

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

1.	Consider a sisc rotating in the horizontal plane with a constant angular speedomega about its centre (O). The disc has a shade region on one side of the diameter and an unshaded region on the other side as shown in the Fig. 2 (CF) . 37, When pebbles (P) and (Q) ar simultaneously proected at an angle towards. (R ). The velocity of projection is in they-z plane and is same for both pebbles with respect to the disc . Assume that (i) they lang back on the disc beforec teh disc has completed /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 ragion and (Q) in the unshaded region (P) lands in the unshaded region and (Q) in the saded region Both (P) and (Q) land in the unshaded region Both (P) and (Q) land in the shaded region Solution :Time of flight of each pebble, ` T= time ofr ` 1/8 th` rotation of disc ` = ( 2 PI)/(omega) xx 1/8 = (pi0/( 4 omega)` . GIVEN range of each pebble ` lt r //2`. Therefore , pebble (P) lands in unshaded region and pebble (Q) the shaded region. Theus option (b) is true.