Consider the system given below, consisting of a cylinder resting atop a mass. The cylinder of radius r has mass m2 and
Posted: Thu Jul 14, 2022 2:52 pm
Consider the system given below, consisting of a cylinder resting atop a mass. The cylinder of radius r has mass m2 and a moment of inertia J about its center, and it rotates about a hinge at its center which is attached to the support on the left through the spring k2. The liquid medium present at all points of contacts offers a viscous resistance force that is proportional to the velocity, with a damping constant of c. (The bottom and left supports are fixed.) An external force f acts on the cylinder as shown. a. Determine the number of degrees of freedom. b. Define your degrees of freedom. c. Generate the mathematical model of the system. d. Write the model in matrix form.