Figure shows a hollow cylinder of length 1.8 m, mass 0.8 kg, and radius 0.2 m. The cylinder is free to rotate about a vertical axis that passes through its center and is perpendicular to the cylinder’s axis. Inside the cylinder are two masses of 0.2 kg each, attached to springs of spring constant k and unstretched lengths 0.4 m. The inside walls of the cylinder are frictionless. 

(a) Determine the value of the spring constant if the masses are located 0.8 m from the center of the cylinder when the cylinder rotates at 24 rad/s. 

(b) How much work was needed to bring the system from w = 0 to w = 24 rad/s?

Transcribed Image Text:

- 1.8 m- 0.2 kg 0.2 kg 0.8 kg 0.2 m -0.4 m* 0.4 m