One end of a light string of length L is connected to a ball and the other end is connected to a fixed point O. The ball is released from rest at t = 0 with string horizontal and just taut. The ball then moves in vertical circular path as shown. The time taken by ball to go from position A to B is t 1 and from B to position C is t 2 . Let the velocity of ball at B is
and at C is
respectively.

(i) If |
|= 2|
| then the value of
as shown is-
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)

If
Then
or
or 
(ii)

Tangential acceleration is
which decreases with time.
Hence the plot of
versus time may be as shown in graph.
area under graph in time interval
Area under graph in time interval
Hence area under graph in time
and
is same. 
(iii)





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