A large rotating machine causes the floor of a factory to oscillate sinusoidally. A punch press is to be mounted on the same floor as shown in Figure. The displacement of the floor at the point where the punch press is to be mounted is measured to be y(t) = 0.1 sin w₁t (cm). Using the base support model of this section, calculate the maximum force transmitted to the punch press at resonance if the press is mounted on a rubber fitting of stiffness k = 40000 N/m; damping, c = 900 N.s/m; and mass, m = 3000 kg. Excitation source: Rotating machine Punch press Floor Support: c, k Base motion y(t)

Question in pic.

Find the natural frequency (in Hertz) of the system illustrated in the following figure. Assume the disk is rolling without slipping. K1 = 4 MN/m, K2 = 2K1, M = 165 kg, and R = 0.2 m. Assume the moment of inertia is A K, R. K2 www M No Slip 220.19 Hz 35.04 Hz 25.58 Hz 17.94 Hz 71.49 Hz O 0 O O O

answer ASAP would be appreciated

Subjects Vibration

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Sphere, mass m Find the equivalent stiffness and mass of the system shown in the figure, then find the natural frequency. No slip Bell crank lever, mass moment of inertia Jo 90° 4 k₁ m 00000 x(1)

Sphere, mass m 000 Q4: Find the equivalent stiffness and mass of the system shown in the figure, then find the natural frequency. No slip Bell crank lever.- mass moment of inertia Jo 90° k₁ m 00000 TTTTTTT x(t)

Seen in Figure 1, a rotating mass (with mass moment of inertia Id to a fixed wall (on the far left) by a torsional spring (k 1kg* m² and angular position a) is attached 1Nm/rad) and a torsional damper. Consider the spring and damper as concentric and in parallel. Dampers with damping ratios of c = be considered. Att = 0.1, 0.5, 1.0, and 1.5kg * m²/s will 0, a unit step torque Tin is applied to the rotating mass. A unit step input is a forcing function whose value is 0 from -∞o to some time to and 1 from to to oo. Here, to = 0. Your tasks: k ww + C = la Od A Derive the equation of motion of the rotating mass. Write c as EOM's for the different values of c. Tin 0 Figure 1: Schematic of the mechanical system to model in Problem 1. em, you will solve part B over MA AB Grader Plea LO onment variable. You do not need to write separate ד ו. for

An undamped spring/mass system, in which m = 8 slugs and the spring constant k = 16 lb/ft has a driving force f(t) = t^pi*t on [0,pi] Extend f(t) into the negative t-axis to obtain an odd function. Find the particular solution ??(?). (Note: f(t) is given as half of the period, p = π.)