A small object with a mass of m = 814 g is whirled at the end of a rope in a ver

Question

A small object with a mass of m = 814 g is whirled at the end of a rope in a vertical circle with a radius of r = 120 cm.

1. When it is at the location shown, (mid-height), its speed is v = 5.17 m/s. Determine the tension in the rope.
(in N)

2.
Calculate the magnitude of the total force acting on the mass at that location. (in N)

A small object with a mass of m = 814 g is whirled at the end of a rope in a vertical circle with a radius of r = 120 cm. When it is at the location shown, (mid-height), its speed is v = 5.17 m/s. Determine the tension in the rope. Calculate the magnitude of the total force acting on the mass at that location. (in N)

Explanation / Answer

1. tension = centripetal force

=> T= m*V^2 /R

=> T= .814*(5.17)^2 /1.2=18.1311 N

2.total force is centipetal force and weight

=> F= sqrt( T^2 + (m*g)^2)=19.81 N

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