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Q.

A stone of mass m tied to the end of a string revolves in a vertical circle of radius R. The net forces at the lowest and highest points of the circle directed vertically downwards are

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a

mg-T1 and mg + T2

b

mg + T1 and mg-T2

c

mg + T1-(mv12R) and mg - T2+(mv22R)

d

mg - T1-(mv12R) and mg +T2+(mv22R)(T1 and v1 denote the tension and speed at the lowest point. T2 and v2 denote corresponding values at the highest point)

answer is A.

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Detailed Solution

At the lowest point, mg acts downwards and upwards so that net force = mg-T1.At the highest point, mg and T; act downwards so that net force = mg + T2Hence, option (1) is correct.
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