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Physics Motion in a Plane Mix Comprehension (MCQ)

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-

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The correct answer is:
CHECK 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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