Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- A vehicle moving horizontally gets a load of wind resistance acting in the opposite direction to the vehicle's motion F M cv? v is the horizontal speed of the vehicle. F is the thrust that comes from the vehicle engine c damping coefficient for wind resistance force (c =0.20 N.sec2/m2) M is the mass of the vehicle (M = 1000 kg) Using Newton's 2nd law, we get the equation of motion dv 1000- + 0,2 v² = F dt At steady state the speed of the car is vo = 30 m/s and thrust F, = 0.2 v3 = 180 N. If the car is moving at a speed around steady state v = vo + dv = 180 and F = F, + 8F, derive a linear differential equation connecting d(dv) ,8v and SF. dtarrow_forwardA force of F = 50 N is applied to the rope that causes the angle 0₁ = 60 degrees to keep the system at equilibrium. The N spring constant is k = 100 m B a 0₁ с a b с Variable Value 2 m 2 m 2 m F b Values for the figure are given in the following table. Note the figure may not be to scale. cc i❀O BY NC SA 2013 Michael Swanbomarrow_forwardIs this Correct?arrow_forward
- QUESTION 3 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K K MA M 0000 M F(1) F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M. at the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = Klk. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. What is the fundamental frequency (first natural frequency) of the modified system in rad/s? Use scientific notation with 3 signifincant figures. Omit…arrow_forwardA) Assuming that no inputs are present to a first-order and a second-order systems, mention two fundamental differences between the two systems. B) Determine the damping ratio and natural frequency of the single-loop RLC electrical circuit system shown below. d²1 dI I + R + = dt² dt с L E(t). C) State two distinctions between odd and even functions, and name and sketch a function that's neither odd nor even. D) What is the frequency in Hertz and the amplitude of the 5th term (i.e. the 4th harmonics) of the following signal? 4 2π 10π == - sin TT 4 бп y(t) (² t) + 37 sin (17) 4 + sin 5π (10+) +. 10 10arrow_forwardCan you help me solve this showing all the steps?arrow_forward
- Break down how got the answer simply? For period what is as?arrow_forwardDo not make any mistake.arrow_forwardFree Vibration Acceleration Time History 0.5 1,-0.424 sec Accel, 0.423 g 0.4 0.3 t4.958 sec Accel0.194 g 02 0.1 -0.1- -0.2 -0.3 -0.4- -0.5 Time (sec) Calculate the natural frequency of the structure from the experimental testing results shown below which were obtained from a free vibration test of the SDOF structure. Acceleration (arrow_forward
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