Athin uniform wire is bent into a rectangle. the short, vertical sides are of length a, and the long, horizontal sides are of length b.

if the total mass is 41.00 grams, a = 45.00 cm and b = 70.00 cm, what is the moment of rotational inertia about an axis through one of the vertical wires?

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?