A bead
sliding on a frictionless semi-circular string (
) and it is at point
at
and at this instant the horizontal component of its velocity is
. Another bead
of the same mass as
is ejected from point
at
along the horizontal string
, with the speed
, friction between the beads and the respective strings may be neglected in both cases. Let
and
be the respective times taken by beads
and
to reach the point
, then the relation between
and
is

Text Solution
Verified by ExpertsA
Horizontal displacement of Q is more than P .
Horizontal component of velocity is same
So

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