Question

An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.170 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s.

Given the angular speed of ω = 5.00 radians/s , find the radius R(ω) at which the mass rotates without moving toward or away from the origin.

R=.187 meters

Assume that, at a certain angular speed ω2, the radius R becomes twice L. Find ω2.

Express your answer in radians per second.

Answer 1

kL =2L kL-2kL-2LMo 2M där 1100 2x4 co,-1 1.72 rad/sec Thus the value of o, is 11.72 rad/sec.