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

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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 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
35 üzerinden işaretenmiş P Soruyu işarete Henüz cevaplanmadı Fss rininininn. 3) For the spring assemblage shown below Figure, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces. Node 1 is fixed while node 5 is given a fixed, known displacement 5 = 200 mm. The spring constants are all equal to k = 200 kN/m.
vibrations, show all steps and solutions
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
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.
2. Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant (one side only. i.e., three springs) of the suspension if each of the three helical springs is made of steel with a shear modulus G = 80×10° N/m? and has five effective turns, mean coil diameter D = 20 cm, and wire diameter d = 2 cm. BUCKEYE KOR Figure 1. Parallel arrangement of spring in a freight truck.
2. The axially loaded bar ABCD shown in figure 2 is held between 2 rigid supports. The bar has cross-sectional area of A¡ from A to C and 2A¡ from C to D. (Take A1= 100mm? , L= 200mm , P=5kN) 241 C D' Fig 2: Axially loaded bar a. Derive formulas for RA and Rp : values using the given data b. Determine the displacements dB and dc at points B and C c. Draw a diagram in which abscissa is distance from left hand support and ordinate is horizontal displacement at the point the ends of the bar and then find the numerical
A simplified SDOF model of a vehicle suspension system is shown in below Figure. The mass of the vehicle is 500 kg. The suspension spring has a stiffness of 100,000 N/m. The wheel is modeled as a spring placed in series with the suspension spring. When the vehicle is empty, its static deflection is measured as 5 cm. (a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the spring combination. (c) Determine the natural frequency fn of the system ks kw m ww Suspension spring Wheel I stiffness

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