A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 9 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Assume the mass is driven by an external force equal to f(t) = 20 cos(2t) + 5 sin(2t). Find the initial conditions. x(0)= ft x'(0) = ft/s Find the particular solution. ft Find the equation of motion of the mass. x(t)= ft

A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 9 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Assume the mass is driven by an external force equal to f(t) = 20 cos(2t) + 5 sin(2t). Find the initial conditions. x(0)= ft x'(0) = ft/s Find the particular solution. ft Find the equation of motion of the mass. x(t)= ft