A mass weighing 16 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-sec/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in/sec, find its position function at any given time. Let t = time in seconds Let y = position in feet Integers, rational or square root values, i.e. no decimals throughout the problem for credit. a) Determine the mass. b) Determine the force function from Hooke's Law. c) Determine the damping force function. d) Determine the differential equation with the exact constants given. e) Determine the initial values. f) Solve the differential equation with the exact constants to prove. Hint: balance the ODE to remove all rational constants. Saluiua lisad O DE h dit

A mass weighing 16 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb-sec/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in/sec, find its position function at any given time. Let t = time in seconds Let y = position in feet Integers, rational or square root values, i.e. no decimals throughout the problem for credit. a) Determine the mass. b) Determine the force function from Hooke's Law. c) Determine the damping force function. d) Determine the differential equation with the exact constants given. e) Determine the initial values. f) Solve the differential equation with the exact constants to prove. Hint: balance the ODE to remove all rational constants. Saluiua lisad O DE h dit