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

T1 and v1 denote the tension and speed at the lowest point. T2 and v2 denote corresponding values at the highest point. g is the acceleration due to gravity.

1
\(\frac {v_1^2 + Rg}{v_2^2 - Rg}\)
2
\(\frac {v_1^2 + Rg}{v_2^2 + Rg}\)
3
\(\frac {v_1^2 - Rg}{v_2^2 - Rg}\)
4
\(\frac {v_1^2 - Rg}{v_2^2 + Rg}\)

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