A small bob
of mass
is attached to a massless rigid rod of length 1 m pivoted at point
and kept at an angle of
with vertical as shown in figure. At distance of 1 m below point
, an identical bob
is kept at rest on a smooth horizontal surface that extends to a circular track of radius
as shown in figure. If bob
just manages to complete the circular path of radius
upto a point
after being hit elastically by bob
, then radius
is
m.

Text Solution
Verified by ExpertsA
Bob A swings from
to vertical. Height drop
.
Velocity of A at bottom:
.
Elastic collision between equal masses: B gets
, A stops.
For B to just complete circular loop:
.
.
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