3. A torque sensing transducer is connected to the shaft of an electric motor which drives a load that has a moment of inertia of 200 x 10 kg m. What should be the damping ratio of the system when a sinusoidal torque varying at a frequency of 2 rad/s is to be reproduced with a maximum error of + 10%? The torsional constant is 1.5 Nm/rad. Problem 42P: Chapter: CH9 - Problem: 42P At time t = 0, a forced harmonic oscillator occupies position (0) = 0.1 mand has a velocity x(0) 0. The mass of the oscillator is m = 10 kg, and the stiffness of the spring is k-1000 N/m. Calculate the motion of the system if the forcing function is AO - FO sin wor, with F0 - 10 N and wo - 200 rad/s. 3. A torque sensing transducer is connected to the shaft of an electric motor which drives a load that has a moment of inertia of 200 x 10 kg m. What should be the damping ratio of the system when a sinusoidal torque varying at a frequency of 2 rad/s is to be reproduced with a maximum error of + 10%? The torsional constant is 1.5 Nm/rad. Problem 42P: Chapter: CH9 - Problem: 42P At time t = 0, a forced harmonic oscillator occupies position (0) = 0.1 mand has a velocity x(0) 0. The mass of the oscillator is m = 10 kg, and the stiffness of the spring is k-1000 N/m. Calculate the motion of the system if the forcing function is AO - FO sin wor, with F0 - 10 N and wo - 200 rad/s