A object is being moved in a vertical circle by someone holding onto a rope. It

Question

A object is being moved in a vertical circle by someone holding onto a rope. It is tied to the rope. It is going "up and down" in a circle. What is the magnitude of the tension force at the very bottom of the circle? It has a mass 0.376 in kilograms, an orbitial speed 14.74 in metres per second, a radius 1.73 in metres. Ignore friction, so the only two forces acting on the object are gravity and tension. Assume that g = 9.81 m/s2. Hint - find the net force first, but be aware that I am not asking for the net force here.

Explanation / Answer

At very bottom point,
Net force acting on the object in y irection,

Fnety = T - m*g

m*a_rad = T - m*g

m*v^2/r = T - m*g

==> T = m*g + m*v^2/r

= 0.376*9.81 + 0.376*14.74^2/1.73

= 50.9 N <<<<<<<-----------------Answer

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