4.21. Assuming small angular oscillations, derive the differential equation ofmotion of the system shown in Fig. P4.6 where the rod is assumed to beuniform and slender. The mass and length of the rod are assumed to be mand 1, respectively.Problems175y = Y, sin w,tFig. P4.6

given; ⇒lenth of rod =l⇒mass of rod =m⇒weight of rod(w)=mg

Answered: 4.21. Assuming small angular…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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PART OF MECHANICAL VIBRATIONS SUBJECT USE VIRTUAL WORK The uniform bar shown in Fig. P3.6 has mass m, length l, and mass moment of inertia 1 about its mass center. The bar is supported by two springs kı and k2, as shown in the figure. Obtain the differential equation of motion and determine the natural frequency of the system in the case of small oscillations.
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
Please do not copy any answers already posted, they are incorrect.
P4.7 For the scaled mechanism shown in figure P4.7, determine (a) the acceleration of point B (b) the sliding acceleration of point A2 with respect to point A4 use a complex numbers approach
4.35 Find the response of the mass shown in Fig. 4.56 under the force F(1) = Foe using convo- lution integral. Data: k, = 1000 N/m, k, = 500 N/m, r = 5 cm, m = 10 kg, , = 1 kg-m, Fo = 50 N. %3D Pulley, mass moment of inertia o

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4.21. Assuming small angular oscillations, derive the differential equation of motion of the system shown in Fig. P4.6 where the rod is assumed to be uniform and slender. The mass and length of the rod are assumed to be m and I, respectively. Problems 175 y = Y,sin @,t