A machine swings a mass of 1kg connected to a massless rope in a vertical circle so that the speed of them mass is constant at 8 m/s. The rope is 1.0 m long, and the center of the circle is fixed at all times.

Question

a) Find the acceleration of the mass with magnitude and direction and the tension of the rope when the mass is at the top of the circle.
b) Find the acceleration of the mass with magnitude and direction and the tension of the rope when the mass is at the top of the circle when the mass is at the bottom of the circle.

Answer 1

net acceleration mv^2/r

tension= mv^2/r-mg

b. at the bootom, mv^2/r+mg