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Physical system modeling, time response and stability
1. Find the differential equations relating input force f(t) and output displacement x1(t) and x2(t) in the system.
(Hint: K, fv and M are spring constant, friction coefficient and mass respectively)
2. Determine the transfer function G(s)=X1(s)/F(s). For the following suppose G(s) = 3 x s+ 13/(s + 1.4)(s2 + 2s + 1.49)
3. Determine the system impulse response in time domain.
4. Draw its root locus and comment on system stability.
5. If the system can be simplified using the system dominant pole technique into G1(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time.
an amplifier has three amplification stages and a 1-dB attenuator in cascade. Assuming that all the impedances are properly matched, what is the overall gain if the amplification factors are 5, 10, and 6 dB
Use Laplace transform techniques to find the solution to the following differential equation given that x = 1/3 at t = 0.
With each quadratic polynomial x^2 + ax + b with real coefficients, associate the smaller of its two real zeros. Is this association a function? If this association is not a function, explain why. If this association is a function
the total amount of electricity that could potentially be generated from wind in the U S has been estimated at 10.8*10^9 Mw-hr annually , if one tenth of this potential is developed, estimate the number of 2 Mw windmills
A student project is required to be portable and hand held. It requires 6 V DC power at a current of 150 mA. The batteries for the power supply must last for a minimum of 7 hours of continuous operation.
Output levels of higher order products of a linear amplifier, If a tone is put into an amplifier, and its amplitude is increased by 1 dB, how much will the amplitude of the third-order products increase in dB?
Design and implement a Rectangle class. Make your class inherit from the Point class given in the lecture (notice that a rectangle can be described through the upper-left vertex, the height, and the width).
Using the Routh Hurwitz method, find the values of k for which the following polynomial has all its roots to the left of s = -1.
1. Compute the probability of having the sum of 10 by throwing (a) two dice, (b) three dice. 2. What is the probability of three of a kind for a poker hand with (a) a card deck of 52 cards, (b) a card deck of 32 cards
Calculate the total complex power, total current drawn and the total power factor and Y-connected load with an impedance of (1+ j 6) ohm per phase,
A sinusoidal voltage wave of real amplitude B0, and frequency w, and phase constant B, propogate in the forward z direction toward the shorted load end in a lossless transmission line of characteristic impedance Z0.
The upper and lower conducting plates of a large parallel-plate capacitor are separated by a distanced and maintained at potentials V0 and 0, respectively. A dielectric slab of dielectric constant 6.0
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