Calculating Tension in a Rope: A 2kg Stone and 1m Radius

[Atilla1982]

A stone with mass 2,0kg is tied to a rope with radius 1 meter to the circle center, and has the velocity 4 m/s.

a) What's the tension on the rope on the top point of the circle?

b) What's the tension on the rope on the bottom point of the circle?


Here's my attempt to solve these.

a) Fc = mv^2/r Fg= mg Ft= the force applied on the rope

Fc=Ft + Fg
Ft=Fc - Fg
Ft=mv^2/r - mg
Ft=2*4^2/1 - 2*9,8
Ft=12,4 N

b)
Fc=Ft - Fg
Ft=Fc + Fg
Ft=mv^2/r + mg
Ft=2*4^2/1 + 2*9,8
Ft=51,6 N

Can anyone please verify that this is correct?

 

[Doc Al]

Both of your solutions are correct.