Kinematics Question 489

Question: A particle P it’s sliding down a frictionless hem it’spherical bowl. It passes the pointA at t=0 . At this instant of time, the horizontal component of it’s velocity is v . A bead Q of the same mass as P it’s ejected from A at t=0 along the horizontal string AB with the speed v . Friction between the bead and the string may be neglected. Let tP and tQ be the respective time taken by P and Q to reach the point B . Then [IIT 1993]

Options:

A) tP<tQ

B) tP=tQ

C) tP>tQ

D) All of these

Show Answer

Answer:

Correct Answer: A

Solution:

For particle P, motion between A and C will be an accelerated one while between C and B a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to v on the other hand in case of particle Q, is always equal to v. horizontal displacement of both the particles are equal, so tP<tQ .



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