Eccentricity an air compressor of mass 60kg is mounted on an elastic support (i. e., spring) and operates at a speed of 1000 rpm. the compressor is out of balance with an unbalanced mass of 2kg and eccentricity of 0.1m. there is no damping and the spring rate is not known for part a)- write out the equation of motion with all available values b)- if the spring rate of the elastic support is 50 n/mm, what is the magnitude of the displacement? c)-find a new spring rate for the elastic support that results in a transmitted force equal to 25% of the unbalanced load (meω^2).