For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5 : 3 . If the radius of the vertical circle is 2 m, the speed of the re

Question

For a particle rotating in a vertical circle with uniform speed, the maximum and minimum tension in the string are in the ratio 5 : 3 . If the radius of the vertical circle is 2 m, the speed of the revolving body is: (Take g = 10 m/s²)

TestHub · Accepted Answer

T ma x ​ = m g + r m v 2 ​ (bottom) T min ​ = r m v 2 ​ − m g (top). Setting v 2 / r − g v 2 / r + g ​ = 3 5 ​ gives 3 v 2 / r + 3 g = 5 v 2 / r − 5 g so v 2 = 4 g r = 80 and v = 4 5 ​ m/s. Option B.

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