PART OF MECHANICAL VIBRATIONSFor the system shown in Fig. P3.7, let m = 0.5 kg, k1 = k2 = k3 = 1000 N/m,and c = 10 N · s/m. Derive the equations of motion of the system and determine the natural frequency. Determine also the displacement and velocity ofthe mass after 0.2 s if the initial conditions are x0 = 0.05 m and x˙0 = 2 m/s. 3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 =k3 = 1000 N/m,and c= 10N - s/m. Derive the equations of motion of the system and deter-mine the natural frequency. Determine also the displacement and velocity ofthe mass after 0.2 s if the initial conditions are xo =0.05 m and io = 2 m/s.k13mFig. P3.7

3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 = k3 = 1000 N/m, and c= 10N - s/m. Derive the equations of motion of the system and deter- mine the natural frequency. Determine also the displacement and velocity of the mass after 0.2s if the initial conditions are xo =0.05 m and xo =2 m/s. m Fig. P3.7

3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 = k3 = 1000 N/m, and c= 10N - s/m. Derive the equations of motion of the system and deter- mine the natural frequency. Determine also the displacement and velocity of the mass after 0.2s if the initial conditions are xo =0.05 m and xo =2 m/s. m Fig. P3.7

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Consider the following system mä(t) + cả (t) + kæ(t) = Ê18(t) + Ê 28(t – t1) N Assume zero initial conditions. The units are in Newtons. If m = 1 kg, c = 3 Ns/m, k = 100 N/m, F1 = 1 N.s, F2 = 3 N.s and tj = 0.01 s, the displacement of the system at t2 = 0.047 s is 72.46 mm 434.76 mm 869.52 mm 115.94 mm 144.92 mm O O O O O
Vibration Engineering. Please answer complete solution and correct units. Thank you.
Fig. P4.6 4.22. Derive the differential equation of motion of the simple vehicle model shown in Fig. P4.7. The vehicle is assumed to travel over the rough surface with a constant vehicle speed v. Obtain also the steady state response of the vehicle. For this system, let m = 10kg, k = 4 x 103 N/m, c = 150N · s/m, i = 2 m, and the amplitude Yo = 0.1 m. Determine the maximum vertical displacement of the mass and the corresponding vehicle speed. Determine also the maximum dynamic force transmitted to the mass at the resonant speed. m 2πη y = Y, sin y Fig. P4.7
A block of mass m = 5 kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 36.1 J. The maximum velocity of the block, vmax, is:
Please help me on this.
Q3
VIBRATION ENGINEERING Solve the following problem. Show complete solutions. View Image
Consider the two degrees of freedom mass spring system below. Assume M = 10 kg, m = 3 kg, K1 = 100 N/m, K2 = 150 N/m, K3 = 867 N/m and K4 = 380 N/m. %D The ratio of the second natural frequency to the first one, i.e. w2/w is X1 K2 www X2 K4 K1 M K3 m Frictionless surface 3.30 4.13 2.74 0.30 5.38 Activate Windows