Ahamster sits 0.10 m from the center of a lazy susan of negligible mass. the wheel has an angular velocity of 1.0 rev/ s. how will the angular velocity of the lazy susan change if the hamster walks to 0.30 m from the center of rotation? assume zero friction and no external torque. a. it will speed up to 2.0 rev/s. b. it will speed up to 9.0 rev/s. c. it will slow to 0.01 rev/s. d. it will slow to 0.02 rev/s.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?