Fall2023 ECE3120 Homework2 Solutions

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

Vibrations

3. An oscillator is subject to an external driving force F(t), which is an exponentially decreasing function of time t: F(t) = {Foe-at Find the position of the oscillator at any time t. t20 t<0

Eng Math

#1. Hello can you find Ir1,ir2 ,Ireland, rt and it and pt. Thank you please show me how to do my homework

Figure Part A 2m Submit 3 m |(F₁) AC 40.727 Provide Feedback μà F₂ = 40 N A N Z F₁ = 70 N Previous Answers Request Answer 1990 * Incorrect; Try Again; 6 attempts remaining Determine the magnitude of the projection of the force F₁ along cable AC. Suppose that a 2 m and b=4.6 m. (Figure 1) Express your answer to three significant figures and include the appropriate units. C ? x Next >

Q5. For a point at distance 50 m and angle 450 to the axis which of the following statements are correct? Consider an infinite baffled piston of radius 5 cm driven at 2 kHz in air with velocity 10 m/s. You may choose multiple options. a. The constant term is given by 515.03 b. The distance dependent term is given by e-jk50/50 c. The directivity term is given by j1(Ka sin 450)/sin 450 d. There is no time dependent term.

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

The spring constant represent the ability of a system to vanish the movement Ture O False O

Variable Separable and Homogeneous Function

4) Please answer in legible and orderly handwriting. If it is not legible, I will not give a positive rating.

Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration

H-W Find Time response for 2S+3 Yes)= s° (s+3)

1-Using the superposition theorem, find vo in the circuit in Figure below. Answer: 12 V. ww 8A 20 V

Let C be the line segment joining A(-1,1, -2) to 0(0,0,0). A parameterization of C is given by * O x=-t,y=t,z=-2t, Osts1 O x=-t+1,y=t+1,z=-2t-2, Osts1 O x=-t-1,y=t+1,z=-2t-2, Osts1 x=t-1,y=-t+1,z=2t-2, Osts1 None of these

Equation (E1-V1-E2-V2 = 0) is the statement of: O a. Kirchhoff's current low O b. Mesh analysis O. Kirchhoffs voltage low O d. Nodal analysis

= Find the general solution to the following 2nd Order O.D.E., where y" y" + y + y = 0 (³x) - ₂ - C₂ sin sin (√³7)} ○ y(x) = e. {c₁ cos (³0) - -x)+ + C₂ sin(x)} y(x) = e{c₁ cos y(x) = e{c₁ cos(x) + ₂ sin(x)} ○ y (x) = c₁ · e¯7 · cos (³x) + c₂ · ež · sin (√³x) ○ y(x) = c₁ ·e· cos(x) + c₂ · €¯ · sin (³x) d² y(x) dx²

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…

MULTIPLE CHOICE QUESTION if x= 5t2 +7tthen a= a= 5 t + 7 a= 10 t + 7 a = 0

4:52 O 25 N The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.1cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 0.25 sec 0.5 sec 3 sec 1,5 sec 1 sec A block-spring system has a maximum restoring force Fmax = 0.1 N. If the 00 a then O O O OO

8. Consider a string that has one end fixed, with the other end free to move in the vertical direction. Suppose the string is put into motion by virtue of the free end's being manually moved up and down periodically. An IBVP describing this motion is 22 at² ² u 2x² u(x,to) = 0, 0 to, ди -(x,to) = 0, 0 to, u(l,t) = € sin (2лwt), t > to. Take = 1, c= 522, to = 0, and € = 10-4. (a) Solve the IBVP with w not equal to a natural frequency of the string. Graph the motion of the string with w equal to half the fundamental frequency. (b) Solve the IBVP with w equal to a natural frequency of the string. Show that resonance occurs. Graph the motion of the string with w equal to the fundamental frequency.

Can I please get assistance with the transition from equation (3.72) through equation (3.73)? Step by Step. ***This is an example from my text book and not a homework problem.

2- I need answer of all sub-parts questions. Thanks   The figure shows a simple model of a motor vehicle that can vibrate in the vertical direction while traveling over a rough road. The road surface varies sinusoidally with an amplitude of 0.01 m and a wavelength of 6 m. The vehicle has a mass of 1007 kg. The suspension system has a total spring constant of 40 kN/m and a damping coefficient of 20 kN.s/m. The vehicle average speed is v = 100 km/hr. The objective is to determine the vehicle steady-state displacement amplitude as well as the respective transmitted force.   Calculate the resultant frequency ratio of the above model. Calculate the steady state amplitude of the vehicle. Determine the force amplitude that will be felt in the vehicle at the steady-state due to the bumpiness of the road.

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

Identify the degree of freedom of the following system 3k 4k 4k 2k Select one: 0 7 4

Please solve with Mathematica

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

Differantial Equations

9

Please draw truth table #4

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