Expert Answers

Homer's receiver design requirements are to: 

1-attenuate all Murphy signals baby at least 50 dB 

2- Use as low an IF center frequency as possible 

determine the value of IF center frequency f_o ^IF  in Homer's design 

eecs 622 exam II f17.doc 12/4/2017 Problem 2 - 15 Points Homer has designed another excellent mixer. It generates just one 2nd-order product at the mixer IF port: fif = fio + FRE Homer is using this mixer in a receiver he is designing. Homer will use this receiver to listen to his very favorite radio station: a station transmitting at 1.0 GHz. Homer uses his mixer's 2nd-order term to up-convert to an IF center frequency (i.e., FF >1GHz ). Homer's excellent mixer does not generate any other 2nd-order products, nor does it generate any 1st or 3rd order products (none- absolutely none!). However, Homer's mixer does create this (but only this!) spurious 4th. order product at the mixer IF port: FIF FRF - 3410 Because of this product, Homer must use a preselector filter in his design. This preselector filter: 1. has a very narrow bandwidth, centered at 1.0 GHz, and 2. attenuates all signals with a frequency greater than 6.0 GHz by 50 dB or more.

 

1. Let u(x,y) = 4xy3 – 4x3y + x. Find a harmonic conjugate v and an analytic functi f(z) = u + iv satisfying the condition f(1+1) = 1 + 4i. 2. Use Cauchy's Integral formula/ Cauchy's Integral formula for derivatives to evaluate following a) Sc b) Sc cos 2z 25 2z+5 22-22 dz, C:[z] = 1. dz, C:]z + 11 = 2. 3. (a) Find the Maclaurin series for f(z) = cos 3z. (b) Use the trigonometric identity cos 3z = 4 cos’z – 3 cos z and find the Maclaurin for cos3z. 4. Locate and determine the type of singularity for the following functions. a) f(z) = 1-cosh z b) f(z) = Z 24 5. Use Cauchy's Residue theorem to evaluate ?c ztu dz, C:12 - il = 1. (22+1)

 

QUESTION 3 S $ 200mm mm 300 mm 30 mm Figure 3 The beam shown is made up of three individual members. If a 500N load is applied and the shear stress in each nail is not to exceed 100MPa (the nail diameter is 5mm) determine the spacing distance "S" of the nails.

2. The table shows the masses, in kg, of banana, jackfruit and mango that are supplied by a dealer to three fruit stalls, X, Y and Z on a particular day. N x Y Fruit Banana 20 ? 30 30 40 Jackfruit Mango 40 30 20 20 30 One that day, the total payment received by the dealer from stalls X, Y and Z are RM190, RM152 and RM135 respectively. If x,y and z represent the prices in RM for 1 kg of banana, 1 kg of jackfruit and 1 kg of mango respectively. Write the system of linear equations in x,y and z for the above information. By using the Cramer's Rule, determine the value of x,y and z.

 

 

QUESTION 1 3000 N/m 1000 N/m 800 Nm B 2000 N 2 m 4 m Figure 1 Referring to the beam depicted in Figure 1, a) • Determine the reaction forces at A and B 3 • Develop the formulas that would describe the shear force and bending moments throughout the length of the beam. Develop the formulas starting from the left calculating towards the right hand side in each case. (you may ignore the effect of the mass for the sake of simplicity for this test) 19 • Draw the shear force and bending moment diagrams 4 Using the diagrams create a free body diagram in the section where the bending moment is a maximum and determine the maximum bending moment. Indicate the distance at which this moment occurs on the diagram. 4 b) If the stress in the bending stress in the beam at the point where the moment is at its maximum if a W200 x 22 (Appendix B) beam is used and bending occurs across its X-X axis 3

A wooden joist 15 cm deep by 7.5 cm wide is reinforced by gluing to its lower face a steel strip 7.5 cm wide by 0.3 cm thick. The joist is simply-supported over a span of 3 m and carries a uniformly distributed load of 5000 N. Find the maximum direct stresses in the wood and steel and the maximum shearing stress in the glue. Take Es/Et = 20. (Cambridge)

In a small gantry for unloading goods from a railway waggon, it is proposed to carry the lifting tackle on a steel joist, 24 cm by 10 cm, of weight 320 N/m, supported at the ends, and of effective length 5 m. The equivalent dead load on the joist due to the load to be raised is 30 kN, and this may act at any point of the middle 4 m. By considering the fiber stress and the shear, examine whether the joist is suitable. The flanges are 10 cm by 1.2 cm, and the web is 0.75 cm thick. The allowable fiber stress is 1 15 MN/m2, and the allowable shearing stress 75 MN/m2.

Given that, x(n)= 12.-1.0.5,3), hi(n) = 1 -2.1.3, 2 ) and he(n)= {1, 1.-3.41 ? Find y. (n) and y;(n). Then, use subplot in order to plot them. x(n) h) h?(0)

a 3: A beer recipe, as followed by some brewing afficionados, can be modeled by considering the proportion of barley as a random variable X and the proportion of water as a random variable Y. Suppose the joint distribution is fx.x (x,y)== *** (2 - x - y); 0