A seven-story office building has 15 adjacent offices per floor. Each office contains a wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the vertical plane, with a separation of 4 m between sockets, both horizontally and vertically. Assuming that it is feasible to run a straight cable between any pair of sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to connect all sockets using a. (a) a star configuration with a single router in the middle? b. (b) an 802.3 LAN?
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- A seven-story office building has 15 adjacent offices per floor. Each office contains a wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the vertical plane, with a separation of 4 m between sockets, both horizontally and vertically. Assuming that it is feasible to run a straight cable between any pair of sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to connect all sockets using a. (a) a star configuration with a single router in the middle? b. (b) an 802.3 LAN?An insulated, electrically-heated (100 kW) tank contains400 kg of water at 65°C when its power is lost. Water iswithdrawn at a steady rate of 0.4 kg/s and cold water (at12°C) enters the tank at the same rate. Assume the tankis well-mixed, and neglect heat gains or losses throughthe tank walls. For the water, c=cp=cv=4200 J/kg C(a) Create a script (m-file) in MATLAB to calculate howlong will it take for the tank’s temperature to fall to 25°C.(b) Display the entire program code used for your scriptcreated in MATLAB. Make sure that running the scriptprovides a numeric result and include your name as acomment.A regional telephone company had 5.2 million subscribers. Each of their telephones is connected to a central office by a copper twisted pair. The average length of these twisted pairs is 3.5 km. How much is the copper in the local loops worth? Assume that the cross section of each strand is a circle 1.2 mm in diameter, the density of copper is 8.4 grams/cm3, and that copper sells for $15.00 per kilogram.
- A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4Q5/ A beam with a length L is attached to the wall with a cable as shown. A load W = 400 lb. is attached to the beam. The tension force, T, in the cable is given by: T=! WL√/h²+x² hx For a beam with L = 120 in and h=50 in calculate T for x = 10, 30, 50, 70, 90, and 110 in.A fixed beam is subjected to a uniformly-distributed load with an intensity of f = 10 N/mm length of L = 200 mm. Now determine the support reaction forces, internal shear forces and moments, then plot its internal shear force and moment diagram. f[N/m] L 1. Define the paramters, use L and f as the variables y X
- Two buses, X and Y, start their journey at the same time on a 950 km route. Bus X gives a 1-hour break after every 3 hours' drive. So, it is at rest at the 4th, 8th, 12th, 16th, 20th, ... hours. Bus Y gives a 1-hour break after every 4 hours' drive. So, it is at rest at the 5th, 10th, 15th, 20th, 25th,... hours. You are given the speeds of the two buses Vx and Vy as 80 and 75, respectively. Write a program that does the following: • Evaluate and display at the end of every hour the distance traveled by each bus. When either one of the buses reach their destination, the evaluations terminate. Depending on whether X or Y or both reach their destination in the last hour, display one of the following messages before stopping (where n is the number of hours): o "Within hour n, bus X reaches its destination." "Within hour n, bus Y reaches its destination." o "Within hour n, both buses reach their destinations." Sample screen output: After hour 1, X is at 80 km, Y is at 75 km. After hour 2, X…6. For the network of Fig. 8.69: (a) Determine re. (b) Calculate VB and Vc. (c) Determine Z¡ and A, = V,/V¡. Vcc = 20 V 6.8 k2 220 kΩ Vc Vo Сс VB V; o Cc B = 180 ro = 50 kQ Z; 56 k2 2.2 kQ CE HEAnalysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic field during an MR scan is given by: v(t) = 0.250t4 + 0.166t3 – 0.500 and the voltage at time t= 0 is 0.
- Electromagnetic Pulse propagating at oblique angle to a dielectric interface Consider a gaussian wave pulse propagating along the z-axis from region 1 with refractive index n1 and onto a dielectric interface y = m z (for all x). To the left of this dielectric interface, the refractive index is n2. Devise an initial value computer algorithm to determine the time evolution of the reflected and transmitted electromagnetic fields for this pulse. e.g., n1 = 1 , n2 = 2 initial profile (t = 0, with z0 < 0) Ex = E0 exp[-a (z-z0)^2] By = n1 * Ex Choose parameters so that the pulse width is at least a fact of 8 less than the z- domain of integration ( -L < z < L). For the slope of the interface, one could choose m = 1.Given the following function: f(x) = 2x For g(x) = Sf(x) dx, determine g(x).A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12-year-old boys playing in a rowboat by the shore. The boat is so tiny, however, that it can only hold two boys or one soldier. How can the soldiers get across the river and leave the boys in joint possession of the boat? How many times need the boat pass from shore to shore?