In figure, a particle is placed at the highest point $A$ of a smooth sphere of radius $r$ . It is given slight push, and it leaves the sphere at $B$ , at a depth $h$ vertically below $A$ . The value of $h$ is

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In figure, a particle is placed at the highest point A of a smooth sphere of radius r . It is given slight push, and it leaves the sphere at B , at a depth h vertically below A . The value of h is

TestHub · Accepted Answer

If v velocity acquired at B , then v 2 = 2 g h The particle will leave the sphere at B , when mv 2 r = mgcos θ 2 gh r = g . r - h r Which gives h = r 3

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