# 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: [Choose the correct alternative]T1 and v1 denote the tension and speed at the lowest point. T2 and v2 denote corresponding values at the highest point.

Given:

Mass of body = m Kg

Radius of vertical circle = R m

From the free body diagram of body at lowest point, we can write,

According Newton’s 2nd law of motion,

Fnet = mg-T

Fnet = mv12/R (Centrifugal force)

mg-T = mv12/R …(1)

Where,

v1 = Velocity at lowest point.

m = mass of body

T = tension in string

From the free body diagram of body at highest point , we can write,

Fnet = T + mg

Fnet = mv22/ R

Where,

v2 = velocity of body at highest point,

T + mg = mv22/ R …(2)

From equation (1) and (2) we conclude that option (1) is correct.

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