Question 3 An analog signal contains frequencies up to 10 kHz. (a) What range of sampling frequencies allows exact reconstruction of this signal from its samples? (b) Suppose that we sample this signal with a sampling frequency F, = 8 kHz. Examine what happens to the frequency F1 = 5 kHz. (e) Repeat part (b) for a frequency F2 = 9 kHz. Question 4 A digital communication link carries binary-coded words representing samples of an input signal Xa(t) = 3 cos 600x + + 2 cos 1800 t The link is operated at 10,000 bits/s and each input sample is quantized into 1024 different voltage levels. (a) What are the sampling frequency and the folding frequency? (b) What is the Nyquist rate for the signal Xa(!)? (e) What are the frequencies in the resulting discrete-time signal x(n)? (d) What is the resolution A?

13.2. Assuming Raoult's law to be valid, prepare a Pxy diagram for a temperature of 90°C and a txy diagram for a pressure of 90 kPa for one of the following systems: (a) Benzene(1)/ethylbenzene(2). (b) 1-Chlorobutane(1)/chlorobenzene(2).

Set P1 = 2 kN and P2 = 1.5 kN. Determine the force in member BD. B 30° 30° с E D 3 m -3 m P P2 0 2.6 kN (C) none of the choices 0 2.0 kN (T) 0 2.0 KN (C) O 2.6 kN (T)

1. A portion of an inclined 8-in (ID) pipe containing flowing water (p= 1.90 slugs/ft) has two pressure gages attached 2000 ft apart. the upstream gage above the datum. The flow rate is 1.55 cfs, and it is estimated that the friction Problem Set No. 6 reads 21.2 psig and is 50 ft above the datum; the downstream gage is 38 head for the pipe is 1.1 ft of H20 per 100 ft of pipe length; Q = 0. Using the energy equation, estimate the reading on the down-stream gage. 2. A small blower handles 1530 cubic foot per minute of air whose density is p = 0,073 lb/fts. The static and velocity heads are 6.45 and 0.48 in. wg (at 60°F). respectively. Local gravity acceleration is g = 31.95 fps?. a) Find the power input to the air from the blower. b) If the initial velocity is negligible, find the final velocity. 3. A large forced-draft fan is handling air at 14.7 psia, 110°F under a total head of 10.5 in wg (at 110°F). The power input to the fan is 300 hp and the fan is 75% efficient. Compute the volume of air handled each minute. Local gravity acceleration is g = 31.85 fps2. 4. An elevator, having a mass of 972 kg, is to be raised a distance of 14.5 km. Determine the minimum work required. 5. A piston having a diameter of 24 cm moves a distance of 60 cm when acted on by a gas pressure of 430 kPa. Determine the work done in Joules. 5. 1528 kL of water (temperature = 20°C) are elevated 26 m. Determine the work required in joules. Determine the kinetic energy possessed by a 1050 kg automobile when it is travelling at a speed of 82 km an hour. A diesel engine delivers 2860 kW of power when burning 615 kg of fuel per hour. The heating value of the fuel is 42,000 kJ/kg. Determine the total amount of the heat loss from the engine and the energy carried away by the exhaust gases per hour. In a domestic hot water heater determine the amount of heat to be added to 72 litres of water to raise the temperature from 9°C to 55°C. Determine the kilowatt-hours required. The enthalpy of air is increased by 139.5 kJ in a compressor. The rate of air flow is 16.7 kg/min. The power input is 48.2 kW. Determine the heat loss from the compressor per minute.

2.11. The WorldLight Company produces two light fixtures (Products 1 and 2) that require both metal frame parts and electrical components. Management wants to determine how many units of each product to produce per week so as to maximize profit. For each unit of Product 1, one unit of frame parts and two units of electrical components are required. For each unit of Product 2, three units of frame parts and two units of electrical components are required. The company has a weekly supply of 3,000 units of frame parts and 4,500 units of electrical components. Each unit of Product 1 gives a profit of $13, and each unit of Product 2, up to 900 units, gives a profit of $26. Any excess over 900 units of Product 2 brings no profit, so such an excess has been ruled out.

2. Design a clamper to perform the function indicated in figure. +30 V Ideal diodes 20 V Design 0 -10 V -20 V