4. Consider the system below such that z1 and z2 are zero when the springs are relaxed.4.a Draw the free body diagrams and derive the equation of motion.4.b Consider the case F(t) = 0. Derive the natural frequencies and construct the (homogenous) solution of thesystems.4.c Consider the case F(t) = Fo sin(@t). Derive the particular solution of the system.4.d Consider the numbers m = 1 [kg], k = 1 [N/m], Fo = 1 [N] and plot the amplitude and the phase of steadystate oscillations as functions of the excitation frequency o.FeeeeeemLeeleeeeeeeceee

1. Two Masses-Two Springs system of vibration 2. All spring constants are equal i.e., k1 = k2 = k3 =…

Answered: 4.a Draw the free body diagrams and…

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

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The structure of a football goal is shown in the figure below. The bending motion of the structure can be represented by a flexible cantilever beam with tip mass M¡ as shown in the figure. The tip mass M, represents the mass of the horizontal crossbar which is assumed to be rigid in this motion. A single vertical straight beam having mass of MH, shown in the figure below, is the equivalent model for the two symmetrical vertical posts. A soccer ball of mass M, hits the horizontal crossbar with the velocity of Vp. x(t) м, VINGLI SOLAR The response of the horizontal crossbar, mass M, is shown by x(t) in the figure. The vertical beam has a circular cross section of radius r, Young's modulus E and length L. For numerical calculations, use M, = 23.2130 kg, MH = 28.6617 kg. M, = 0.5497 kg, Vý = 8.8974 m/s, L= 2.7757 m, E = 133.5685 GPa andr= 0.0437 m. For circular cross- section I = Tr/4.Considering zero damping and the numerical data given above, obtain the maximum amplitude of response x(t)…
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Q3 out of 11 A block B of mass m (see Figure 1) can slide freely on a frictionless arm OA which rotates in a horizontal plane at a constant rate Bis from O. Draw a complete kinetic diagram. How many vectors do you have in your diagrams? (enter in space) Figure 1: Swing
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Learning Goal: Use the general equations of motion for plane motion to determine the initial acceleration of a spool. A spool has an outer radius R = 380 mm, an inner radius r = 210 mm, a mass m = 90 kg, and a radius of gyration KG = 320 mm. A rope is wrapped around the inner radius and pulled to the right as shown in (Figure 1). The coefficient of static friction between the spool and the ground is us = 0.2. The coefficient of kinetic friction is k = 0.15. Figure R A P 1 of 1 Part A Draw the free-body diagram for the spool, assuming the friction force acts to the right. Draw the vectors, starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. + 0 No elements selected Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer
Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia of- mL²; the one to the 27 192 1 mL². Then transform this Fo sin cor right has a mass moment of inertia of- 192 differential equation of the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. TET 4 fm o Mo sin or
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