Problem 1 An object of mass m 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resisti vity force given by -be, where e is its velocity and b= 4 Nm-. 1. Write the differential equation of motion, and specify what is the type of oscill ation the block undergo? (Critical, under damping, over damping) 2. Determine the period of such ascillation 3. The object is subjected to a sinusoidal force given by F(t) Fasin(wt) where Fo 2N and w 30rad/soc. In steady state, what is the amplitude of forced oscillation?

Problem 1 An object of mass m 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resisti vity force given by -be, where e is its velocity and b= 4 Nm-. 1. Write the differential equation of motion, and specify what is the type of oscill ation the block undergo? (Critical, under damping, over damping) 2. Determine the period of such ascillation 3. The object is subjected to a sinusoidal force given by F(t) Fasin(wt) where Fo 2N and w 30rad/soc. In steady state, what is the amplitude of forced oscillation?