Tutorial 8 stability analysis

A X₁ RA P₁ X₂ P₂ 2 X3 X L 10 C ХА B RB 22 Z P₁ = 30kN; P₂ = 50kN; w= 10kN/m; L = 6m x₁ = 1m; x₂ = 2m; x3 = 3m; x = 5m Find RA and Rg, and draw SFD and BMD

For the given boundary value problem, the exact solution is given as Φ = 3x − 7y. (a) Based on the exact solution, find the Φ values on all sides.

3. Figure 5 shows a linear graph of a motor driving a heavy rotor. The electric circuit of the motor consists of a voltage source Vs(t) and a resistor with resistance R. The rotor has mass moment of inertia J. The motor is modeled as an ideal transformer with T = kai and V = ka, where i and V are the current and voltage of the motor and T and 2 are the torque and angular velocity of the rotor. Answer the following questions. (a) Determine the driving point impedance Z(s). 2 (b) In an impedance test, the voltage is varied sinusoidally, i.e., Vs(t) = vo coswt, to measure impedance Z(jw) along the pure imaginary axis. Roughly sketch the magnitude of Z (jw) with respect to frequency w. T(t) + R V₁(t) 2 Figure 5: Linear graph of a motor driving a heavy rotor

2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with 3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7 H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the answers in 3 decimal places. 2.0 cm 1.0 cm 6.0 cm 3.0 cm 1.5 cm Figure I

2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2

the same answer as found above. Tutorial Problems No. 2.2 1. Find the ammeter current in Fig. 2.57 by using loop analysis. [1/7 A] (Network Theory Indore Univ. 1981) 10 IK a 10 in 2K 10 10 10K IOK 10 4V 2K 100 V 10 T50 V 10 VT IK 10 Fig. 2.59 Fig. 2.58 Fig. 2.57

Don't Use Chat GPT Will Upvote And Give Handwritten Solution Please

Please solve this question step by step and in clear writing. I want to learn how to do these types of questions. Dont type it as the solutions gets cropped upon loading. Thanks!

Question 3 a) Consider the system shown in Figure Q3a, consisting of a spring connected to the free end of a clamped bar. Estimate the first two natural frequencies using finite element approach. The element matrices are given by [M]=P\[1 PA2 1] 1 2 and [K] spring k E, P Figure Q3a. b) Describe the convergence studies that are carried out during a finite element based modal analysis. c) Describe mode shape orthogonality. Use mode shape vector, mass and stiffness matrices in the discussion.

Engineering analysis

1. Given the circuit in Figure 2, determine the resistance R₂ such that V₁ = VB. Then find the voltages Vд and VB. Show steps of your calculations. 20 V R₁ 500 Ω. 0 R3 200 Ω R4 R₂ 50 Ω Figure 2: Circuit for Exercise 1 2. Use Multisim Schematics to create the circuit in Figure 3. Assign the resistor R₂ value based on your calculations in previous step. Run the simulation to obtain the DC voltage at terminals VA and VB. Compare the values with the calculated voltages in previous step. Are they identical? Take a screenshot of your Multisim circuit schematic, showing the voltage values, and include it to your lab report. Vs -20V XMM1 +. R1 500 Σ R3 2000 XMM2 R2 R4 ≥500 Figure 3: Multisim Simulation Circuit with instruments for Exercise 1 3. Add a 100 resistor between terminals VA and VB and connect an ammeter to measure the current through the resistor. Is the current value consistent with the expected theoretical value? Justify your answer. Take a screenshot of your Multisim circuit…

1. For the circuit below, utilize the superposition method to solve the following ли R17 12 2 A + V3 10 V + R14 5 Ω R15 20 V1 A. Calculate V₁' due only to I₂ B. Calculate V₁" due only to V3 C. What is the total voltage V₁? P₁ is the power dissipation across R15. D. Calculate P₁' due to V₁'. E. Calculate P₁" due to V₁ F. Calculate total power Pi 30 ли R18 5 Ω

Topic: Non Homogenous DE (please solve thank you!)