A particle tied to a string describes a vertical circular motion of radius r continually. If it has a velocity 3 gr at the highest point, then the ratio of the respective tensions in the string hold

Question

A particle tied to a string describes a vertical circular motion of radius r continually. If it has a velocity 3 gr ​ at the highest point, then the ratio of the respective tensions in the string holding it at the highest and lowest points is

TestHub · Accepted Answer

Tension at the highest point T top ​ = r mv 2 ​ − mg = 2 mg ( ∴ v top ​ = 3 gr ​ ) Tension at the lowest point ​ T bottom ​ = 2 mg + 6 mg = 8 mg ∴ T bottom ​ T top ​ ​ = 8 mg 2 mg ​ = 4 1 ​ . ​

Physics - Circular Motion Question with Solution | TestHub

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