Problem 1An object of mass m = 0.2 kg is hung from a spring whose spring constantis 80 Nm-1. The body is subject to a resistivity force given by -br, where vis its velocity and b = 4 Nm-'.1. Write the differential equation of motion, and specify what is the type ofoscill at ion the block undergo? (Critical, under damping, over damping)2. Determine the period of such oscillation3. The object is subjected to a sinusoidal force given by F(t) = Fasin(wt)where Fo = 2N and w = 30rad/sec. In steady state, what is theamplitude of forced ascillation?

Answer 1 , Part 1 Set up the differential equation of motion for free oscillations of the system…

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 resistivity force given by -be, where v is its velocity and b= 4 Nm¯!. 1. Write thedifferential equation of motion, and specify what is the type of oscillation the blodck 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/sec. In steady state, what is the amplitude of forced ascillation?

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 resistivity force given by -be, where v is its velocity and b= 4 Nm¯!. 1. Write thedifferential equation of motion, and specify what is the type of oscillation the blodck 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/sec. In steady state, what is the amplitude of forced ascillation?