x(t) = xo sin wotP.00000A uniform bar of mass m is pivoted at pointO and supported at the ends by twosprings. End P of spring PQ is subjected to aQ5 sinusoidal displacement. Find the steady-state angular displacement of the barwhen L = 1 m, k = 1000 N/m, c = 500 N.s/m,m = 10 kg, x0 = 1 cm, and w = 10 rad/s.1144Uniformbar, mass mk

Answered: Image /qna-images/answer/7248cab3-523b-4751-b7ca-a18bc7882051.jpg

Answered: x(t) = xo sin wot P. 00000 A uniform…

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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Problem 2. A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Figure 2. End P of spring PQ is subjected to a sinusoidal displacement, x(t) = x,sinwt. 1=1 m, k=1000 N/m, m=10 kg, xo=1 cm, and w=10 rad/s. a) Drive the equations of motion and find the natural frequency of the bar b) Find the steady-state angular displacement of the bar Vont do Simulate the system and plot displacements for the following cases (choose suitable simulation time for each case): 1) With the initial conditions theta0=thetad0=0, an excitation x=xesin(wt) is applied vertically at point P. Choose such w values so that the system is in resonancer experiencing beating. i. D ii. xt t) = xo sin wt Uniform bar, k mass m Figure 2. Spring-mass system
Problem 2. A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Figure 2. End P of spring PQ is subjected to a sinusoidal displacement, x(t) = x,sinwt. 1=1 m, k=1000 N/m, m=10 kg, xo=1 cm, and w=10 rad/s. a) Drive the equations of motion and find the natural frequency of the bar b) Find the steady-state angular displacement of the bar Simulate the system and plot displacements for the following cases (choose suitable simulation Vont time for each case): 1) With the initial conditions theta0=thetad0=0, an excitation xEsin(wi) Is applied vertically at point P. Choose such w values so that the system is i. in resonance, exPeriencing beating. do D ii. (1) = xo sin wt Uniform bar, mass m 31 Figure 2. Spring-mass system
Consider the following spring system. Assume down is the positive direction. Write the stiffness mirix K- • Compute the displacements caused by the external forces f = - Displacement = C₂ m mi heees3 m₂ Hom 3 7/////// with spring constants c = 134
A HELICAL SPRING HAS A STIFFNESS OF 25 kN/m. IF A MASS OF 100kg IS ATTACHED TO ITS FREE END, PULLED DOWN, AND THENRELEASED, Req: (draw the figure first before solving the problem)A. FIND THE AMOUNT OF DEFLECTION, IN CM,B. DETERMINE THE PERIODIC TIME OF ITS MOTION,C. IF THE MAXIMUM DEFLECTION WAS 50 mm, FIND THEVELOCITY,D. FIND THE ACCELERATION OF THE MASS WHEN ITS IS 300 mmFROM THE EQUILIBRIUM POSITION.
Consider the spring assemblage shown, using the direct stiffness method do the following: 1. Write the global stiffness matrix 2. Determine the nodal displacements 3. Determine the nodal forces 4. Determine the reaction of supports K1 = 15 kN/m f Node 1 F = 0.675 kN K2 = 45 kN/m No Node 2 X positive to the right vov Node 3 K3 = 15 N/m Node 4
vibrations, show all steps and solutions
In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm
Give me right solution with clear calculations
A helical spring is made of 10 m diameter steel wire wound on a 100 mm diameter mandrel. If there are 10 active coils what is spring constant Take: C= 100 GPA What force must be applied to the spring to elongate it by 50 mm?
Given the vibration system with multiple degree of freedom. For string 1, k1 = 10kN/m For string 2, k2 = 20kN/m %3D For string 3, k3 = 30 kN/m mass = 500kg mass of the beam will not be consider. Solve for the following: d. Static deflection at string e. Static deflection at string 2 f. Static deflection at string 3
Don't give incorrect solution. Otherwise I'll downvote
Figure below shows two pendulums suspended from frictionless pivots and connected at their midpoints by a spring. Assume that each pendulum can be represented by a mass M at the end of a massless bar of length L. Also assume that the displacement is small and linear approximations can be used for sin 0 and cos 0. The spring located in the middle of the bars is unstretched when 0, = 02. The input force is represented by f (t), which influences the left-hand bar only. Obtain the equations of motion and sketch a block diagram for them.

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