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A main revolves a stone of mass m tied t...

A main revolves a stone of mass `m` tied to the end of a string in a circle of radius R The net force at the lowest and height point of the circle directed vertical downward are
Here `T_(1),T_(2)` and `(v_(1),v_(2))` denote the tension in the string (and the speed of the stone) at the lowest and highest points, respectively.

A

`{:("Lowest point" ,"highest point"),(mg -T_(1),mg +T_(2)):}`

B

`{:("Lowest point" ,"highest point"),(mg +T_(1),mg -T_(2)):}`

C

`{:("Lowest point" ,"highest point"),(mg +T_(1)-(mv^(2))/(r),mg -T_(2)+(mv^(2))/(r)):}`

D

`{:("Lowest point" ,"highest point"),(mg -T_(1)-(m_(1)v_(1)^(2))/(R),mg +T+(m_(1)v_(1)^(2))/(R)):}`

Text Solution

Verified by Experts

The correct Answer is:
A

`mg + T_(2) = (mv_(2)^(2))/(R ), T - mg = (mv_(1)^(2))`
Never conface the actual force on a body (tension, force gravety etc) with the effects they produce `ma(mv^(2))/(R )`etc
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