Kinematics 6 Question 6
6. A particle is sliding down a frictionless hemispherical bowl. It passes the point at . At this instant of time, the horizontal component of its velocity is . A bead of the same mass as is ejected from at along the horizontal string , with the speed . Friction between the bead and the string may be neglected. Let and be the respective times taken by and to reach the point .
(1993, 2M)
Then
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 6. (a)
Solution:
- For particle
, motion between will be an accelerated one while between a retarded one. But in any case horizontal component of its velocity will be greater than or equal to . On the other hand, in case of particle , it is always equal to . Horizontal displacement for both the particles are equal. Therefore, .