Question: jimmy has two options for moving a piano up to the second floor of a hotel, which is 10 m above his current position. he can push the piano up 50 m ramp or lift the piano up with a rope wrapped around a pulley. which option will require him to exert a greater average force? neglecting friction, which option will require more work?

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?