A 80 kg pilot flies a plane in a loop. At the top of the loop, where the plane is completely upside-down the pilot feels no forces from the seat or the seat belts. (The pilot is “weightless.”) If the plane’s speed is 150 m/s, what is the radius of the loop?

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?