3. A washing machine of mass 70kg operates at 1600 rpm. Find the maximum stiffness of an isolator that provides 80 percent isolation. Assume that the damping ratio of the isolator is 5 percent

2. Figure 2 shows a roller rolling and slipping at the same time on a slippery surface. The center of the roller moves with a displacement r(t) and the roller rotates with angle (t). The roller has mass m, mass moment of inertia I, and radius r. In addition, a layer of fluid with viscous damping coefficient c is present to lubricate the roller. Moreover, the roller is pulled by a spring under a given (i.e., prescribed) displacement u(t), whereas the spring has spring constant k. Also, the roller is subjected to an applied torque M(t). Figure 3 shows the free-body diagram of the roller. Answer the following questions. (a) Apply F = ma to derive an equation of motion governing the translation z(t). (b) Apply M = Ia to derive an equation of motion governing the rotation 0(t). (c) Eliminate the variable (t) from the two equations of motion derived in parts (a) and (b). You should obtain a third-order differential equation in x(t). (d) Initially (i.e., at t = 0), the roller has no…

Task 2 External Force Damper Damper mass mass m M m WWA Smooth Surface w No Friction Spring Spring Consider the above spring-mass-damper system. Let the mass m=1 kg, spring stiffness k= 1 N/m and damping coefficient b = 1 N.s/m. (a) What is the number of degrees of freedom? (b) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position amplitude for the two masses.

The free vibrations of a system are governed by the differential equation shown in the image, with initial conditions also shown in the image. Calculate or specify the following: a. The natural frequency b. The damping ratio c. Whether the system is undamped, underdamped, critically damped, or overdamped

I need the answer as soon as possible

Q4\Find the type of damping in this system Where: m=5kg, K = 1500 /m N Damping coefficient= 1.5 *105 N-sec/m

Please do #11   section 3.6

MECHANICAL VIBRATIONS

calculate the damping factor

PLEASE MAKE CLEAR THE SOLUTION. THE SUBJECT IS VIBRATION ENGINEERING