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Sir;

Pl solve question no-3 attached

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Asked by shobhit 15th May 2018, 9:14 AM
Answered by Expert
Answer:
My answer is (C) Both P and Q landed in unshaded region
 
Explanation.
 
At P, when the pebble is projected at angle towards R, the disc is moving with constant angular velocity ω.
Hence the projetced pebble has two horizontal velocity components. One component u which is directed towards R horinontally due to the projection.
Other component w is due to disc motion and this component is perpendicular to velocity component u. Hence the resultant horizontal velocity of the pebble begin mathsize 12px style square root of u squared plus w squared end root end style is always greater then u and its directed away from line OP. But every point along the line OP moves with a constatnt velocity w. hence the pebble projected from p will not fall on shaded region.
 
At Q, the projected pebble will not be affected by disc motion, because Q is at centre. It has the horizontal component only due to projection. But by the time the pebble reaches disc, the shaded region already had passed. Hence it will fall on unshaded region.
Answered by Expert 16th May 2018, 3:07 PM
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