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Q.

A man revolves a stone of mass m tied to the end of a string in a vertical circle of radius R. Select the correct pair of the net forces at the lowest and height points of the circle from the given table.

Lowest pointHighest point
(a) T1-mgmg+T2
(b) mg+T1mgT2
(c) mg+T1mv2rmgT2+mv2r
(d) mgT1m1v12Rmg+T2+m1v12R

Here T1, T2 (and v1, v2) denote the tension in the string (and the speed of the stone) at the lowest and highest points, respectively.

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a

option (b) correct

b

option (a) correct

c

option (d) correct

d

option (c) correct

answer is A.

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Detailed Solution

mg+T2=mv22R,T1mg=mv12R

Never confuse the actual force on a body (tension, force of gravity etc.) with the effects they produce : ma,mv2R, etc.

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A man revolves a stone of mass m tied to the end of a string in a vertical circle of radius R. Select the correct pair of the net forces at the lowest and height points of the circle from the given table.Lowest pointHighest point(a) T1-mgmg+T2(b) mg+T1mg−T2(c) mg+T1−mv2rmg−T2+mv2r(d) mg−T1−m1v12Rmg+T2+m1v12RHere T1, T2 (and v1, v2) denote the tension in the string (and the speed of the stone) at the lowest and highest points, respectively.