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Two particles a and b with masses ma= 0 and mb> 0 approach one another. Prove that they have a CM frame (that is, a frame in which their total three-momentum is zero). [Hint: As you should explain, this is equivalent to showing that the sum of two four-vectors, one of which is forward light-like and one forward time-like, is itself forward time-like.]
A process with Gp= 2/(2s+1) and Gd=1/(2s+1) experiences a disturbance step change of magnitude 5. The SP remains constant. If a P-controller alone with Kc=1 is used and Ga=Gs=1, then what is the output variable, delta Y(t) versus time
10 mH inductor, 4.7 µF capacitor, and 68 Ω resistor in series with a 5 V AC source running at 1kHz. How would we find these three power values?
Realize each of the following functions as a minimum two-level NAND-gate circuit and as a minimum two-level NOR-gate circuit. (a) F(A,B,C,D) = BD′ + B′CD + A′BC + A′BC′D + B′D′
What are the Advantages of Parallel Circuits connection over Serie Circuit Connection ? Why Parallel Connection is Mostly Preferred over Series Connection?
Three single-phase 7200:480 volt, 20 kVA transformers are connected in a bank with the 7200 volt winding connected in wye and the 480 volt winding connected in a delta 1) the kVA rating of the three phase bank is
Find the transfer function and the difference equation for a 2nd -order FIR filter that has unity d.c. gain, but for which the given input x(k) produces zero forced response. (Your filter will have a "notch" at the given frequency, and H(1) =1.)
question 1 derive the dynamic model and average value circuit of a buck converter assuming the esrs of the inductor and
A coaxial cable connects a 50W transmitter to an antenna with a feed impedance of 200W. The operating frequency is 900MHz and the cable has a velocity factor of 0.66. Determine the characteristic impedance and length of the cable.
A charged 100-pf capacitor has initial voltage across it of 10V. a 100kohm resistor is suddenly connected across the capacitor (at t=0) to discharge it. What is the magnitude of the instantaneous current at 20 usec?
THE Number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. a. T = the total number of pumps in use
Two single phase transformers are connected in parallel with the following parameters. Transformer A, rated at 60 kVA Rc=250 k Ohm Req=25 Ohm Xm=45 k Ohm Xeq=150 Ohm
Determine which of these properties hold or don't hold for the following discrete time systems. Justify your answers. IN each example, y(t) denotes the system output and x(t) denotes the system input.
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