Find the components of the vector C(vector) in parts (a) through (d) of Problem 56. Data From Problem 56 A vector A(vector) has a magnitude of 15 (in some unspecified units) and makes an angle of 25...

With the last two problems in mind, draw a plot of the three functions (a) sin (b) sin ( - 3/4) (c) sin + sin ( - 3/4). Compare the amplitude of the combined function (c) in this case with that of...

Write an expression for the wave shown in Fig. P.2.43. Find its wavelength, velocity, frequency, and period. Fig. P.2.43 t = 0 60 40 20 z (nm) 100 500 300 -20 -40 -60 t = 0.66 x 10-15 s z (nm) 100...

Identify an actionreaction pair of forces in each of the following situations. (a) A person pushing on a wall (b) A book resting on a table (c) A hockey puck sliding across an icy surface (d) A car...

A hockey puck that is sliding on an icy surface will eventually come to rest. The (horizontal) force that makes it stop is due to friction between the puck and the ice. Draw qualitative plots of the...

Consider the motion of a sprinter running a 100-m dash. When it is run outdoors, this race is run along a straight-line portion of a track, so it is an example of motion in one dimension. Draw...

Expressed as a gage pressure, what is the pressure at the surface of a glass of milk?

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

For the tank of ethylene glycol described in Problem 3.39, compute the pressure at a depth of 12.0 m. Problem 3.39 An open tank contains ethylene glycol at 25C. Compute the pressure at a depth of 3.0...

For the tank in Fig. 3.22, compute the depth of the oil if the depth of the water is 2.80 m and the gage at the bottom of the tank reads 52.3 kPa(gage). Vent Oil (sg = 0.86) h2 Water

Determine the pressure at the bottom of the tank in Fig. 3.25. 1.2 m --- --- -- -- Air 200 kPa (gage) Oil 15m/ (sg = 0.80) 2.6 m Water 2 m

The pressure in a heating duct is measured to be 5.37 in H 2 O. Express this pressure in psi and Pa.

Figure 4.21 shows a vacuum tank with a flat circular observation window in one end. If the pressure in the tank is 0.12 psia when the barometer reads 30.5 in of mercury, calculate the total force on...

An observation port in a small submarine is located in a horizontal surface of the sub. The shape of the port is shown in Fig. 4.25. Compute the total force acting on the port when the pressure...

Refer to Fig. 4.33. Water 8 ft Access hatch for cleaning 30 in 3 ft 45 18 in 18 in 18 in

Refer to Fig. 4.34. 6-in diameter 3 ft 2 ft 1 ft View port Oil (sg -0.90) 30

Refer to Fig. 4.35. 0.6 m Oil (sg - 0.90) +300 Window 0,6 m dimen sions in mm 0.3 m 40 -1.2 m + 300+300

Refer to Fig. 4.36. Swimming pool 3 ft Water 5 ft Glass window 45 2 ft diameter

Refer to Fig. 4.37. 0.76 m 0.60 m 1,00 m Gate Oil (sg = 0.80) 20

Refer to Fig. 4.39. 0.80 m 05 m Semicircular hatch 1.50-m diameter Turpentine 70 sg - 0.88

Figure 4.42 shows a gasoline tank filled into the filler pipe. The gasoline has a specific gravity of 0.67. Calculate the total force on each flat end of the tank and determine the location of the...

For the orange-drink tank shown in Fig. 4.32, compute the magnitude and location of the total force on the vertical back wall. The tank is 3.0 m long. 30 Orange drink (sg - 1.10) 3.0 m 4.6 m 2.4-m...

An exceedingly narrow beam of white light is incident at 60.0 on a sheet of glass 10.0 cm thick in air. The index of refraction for red light is 1.505 and for violet light its 1.545. Determine the...

A beam of light in air strikes the surface of a smooth piece of plastic having an index of refraction of 1.55 at an angle with the normal of 22.0. The incident light has component E-field amplitudes...

Unpolarized light is incident in air on the flat surface of a sheet of glass of index 1.60 at an angle of 30.0 to the normal. Determine both amplitude coefficients of reflection. What is the...

Show that tan p = n t /n i and calculate the polarization angle for external incidence on a plate of crown glass (n g = 1.52) in air.

Derive the expressions for r ¥ and r || given by Eqs. (4.70) and (4.71). cos 6; (n sin 0;)'/ cos 0; + (n sin 0;)'/2 (4.70) ni cos 0; (ni sin e,)'/2 n cos e; + (ni sin0;}'/2 and (4.71)

A large block of diamond is covered, on top, by a layer of water. A narrow beam of light travels upward in the solid and strikes the solidliquid interface. Determine the minimum incident angle that...

Figure 5.19 shows a pump partially submerged in oil (sg = 0.90) and supported by springs. If the total weight of the pump is 14.6 lb and the submerged volume is 40 in 3 , calculate the supporting...

A buoy is to support a cone-shaped instrument package, as shown in Fig. 5.22. The buoy is made from a uniform material having a specific weight of 8.00 lb/ft 3 . At least 1.50 ft of the buoy must be...

For the raft shown in Fig. 5.27, how much of the drums will be submerged when only the platform is being supported? Refer to Problems 5.31 and 5.32 for data. Raft 36 in- 21-in diameter

A container for an emergency beacon is a rectangular shape 30.0 in wide, 40.0 in long, and 22.0 in high. Its center of gravity is 10.50 in above its base. The container weighs 250 lb. Will the box be...

If the barge in Problem 5.57 is loaded with 240 000 lb of loose coal having an average density of 45 lb/ft 3 , how much of the barge would be below the water? Is it stable? In Problem A barge is 60...

Convert a volume flow rate of 3.0 gal/min to m 3 /s.

(a) Suppose a tire rolls without slipping on a horizontal road. Explain the role friction plays in this motion. What two surfaces are involved in this frictional force? Is it static friction or...

You are a newly graduated astronaut preparing for your first trip into space. Plans call for your spacecraft to reach a velocity of 500 m/s after 2.4 min. If your mass is 75 kg, what force will be...

A ball is thrown upward with a speed of 35 m/s from the edge of a cliff of height h - 15 m (similar to Fig. P3.22). (a) What is the speed of the ball when it passes by the cliff on its way down to...

A book of mass 3.0 kg sits at rest on a horizontal table. What is the magnitude of the normal force exerted by the table on the book?

Calculate the terminal speed for a baseball. A baseballs diameter is approximately d = 0.070 m, and its mass is m = 0.14 kg. Express your answer in meters per second and miles per hour.

A 35-m-wide river flows in a straight line (the x direction) with a speed of 0.25 m/s. A boat is rowed such that it travels directly across the river (along y). If the boat takes exactly 4 minutes to...

A bullet is fired from a rifle with speed v 0 at an angle θ with respect to the horizontal axis (Fig. P4.32) from a cliff that is a height h above the ground below. (a) Calculate the...

The three forces shown in Figure P4.2 act on a particle. If the particle is in transnational equilibrium, find F 3 (the magnitude of force 3) and the angle θ 3 . Figure P4.2 (50 N 60 30...

Compute the Reynolds number for the flow of 325 L/min of water at 10C in a standard hydraulic steel tube, 50 mm OD 1.5 mm wall thickness. Is the flow laminar or turbulent?

Water at 75C is flowing in a standard hydraulic copper tube, 15 mm OD 1.2 mm wall, at a rate of 12.9 L/min. Calculate the pressure difference between two points 45 m apart if the tube is horizontal.

For the pump described in Problem 8.46, if the pressure at the pump inlet is -2.36 psig, compute the power delivered by the pump to the water.

Reliant Energy (the electric company in Houston, Texas) charges customers as follows: Monthly charge $6 First 250 kWh @ $0.02/kWh All additional kWh @ $0.07/kWh If a customer uses 2,436 kWh in one...

Calculate I o in the circuit of Fig. 2.119. 700 2 400 2 200 2 100 V 1.7 k2 800 2 400 2 +1)

For the circuits in Fig. 2.108 , obtain the equivalent resistance at terminals a-b. 20 2 www 30 2 30 2 be

For the ladder network in Fig. 2.104 , find I and R eq . 82 62 15 V Rea

Find R eq and i o in the circuit of Fig. 2.102. 12 2 o 2.50 80 35 V(+ 15 2 20 2 TRea

Using Fig. 3.50 , design a problem to help other students better understand nodal analysis. R2 12 V

For the circuit in Fig. 3.70 , find v 1 and v 2 using nodal analysis. 21. 20 V2 ww 10 30 V

The feedback resistor of a five-input averaging summing amplifier is 40 k. What are the values of R 1 , R 2 , R 3 , R 4 , and R 5 ?

For the transistor model in Fig. 4.118 , obtain the Thevenin equivalent at terminals a-b. 3 k2 21 V (+ 201. 2 k2

Apply Thevenins theorem to find V o in the circuit of Fig. 4.105 . Vo 10 16 2 2.5 A + 50 V

A 100-mH inductor is connected in parallel with a 2-k resistor. The current through the inductor is i(t) = 35e 400t mA. (a) Find the voltage vL across the inductor. (b) Find the voltage v R across...

Design a problem to help other students better understand how inductors work. The current through a 12-mH inductor is i(t) = 30te -2t . A, t 0. Determine: (a) The voltage across the inductor, (b)...

If v(0) = 0, find v(t), i 1 (t), and i 2 (t) in the circuit of Fig. 6.63 . Is (mA). 30 5 t -30 6 F is 4F

Design a circuit that provides a relationship between output voltage v o and input voltage v s such that v o = 12v s 10. Two op amps, a 6-V battery, and several resistors are available.

For the flow of 12.9 L/min of water at 75°C in a plastic pipe, 16 mm OD Ã 1.5 mm wall, compute the expected maximum velocity of flow from Eq. (94). + 1.43 V) Umax = v(1 %3D

Compute points on the velocity profile from the pipe wall to the centerline of a 3/4-in Type K copper tube if the volume flow rate of water at 60F is 0.50 gal/min. Use increments of 0.05 in and...

Determine the pressure drop across a 90 standard elbow in a DN 65 Schedule 40 steel pipe if water at 15C is flowing at the rate of 750 L/min.

Compute the resulting pressure after a real diffuser in which the energy loss due to the enlargement is considered for the data presented in Problem 10.12. The enlargement is sudden. In Problem...

A bicycle wheel of radius 0.30 m is spinning at a rate of 60 revolutions per minute. (a) What is the centripetal acceleration of a point on the edge of the wheel? (b) What is the period of the wheels...

A car of mass 1700 kg is traveling without slipping on a flat, curved road with a radius of curvature of 35 m. If the cars speed is 12 m/s, what is the frictional force between the road and the tires?

If the masses of the objects in Problem 35 are both increased by a factor of 5, by what factor does the gravitational force change? Do not use a calculator to solve this problem! Data From Problem 35...

Find the ratio of your weight on the Earth to your weight on the surface of the Sun. WEarth W Sun

Using Fig. 7.85 , design a problem to help other students better understand source-free RC circuits. For the circuit shown in Fig. 7.85 , find i(t), t > 0. t= 0 R, R2 R3 +1

For the circuit in Fig. 7.91 , find i o for t > 0. t= 0 4 H 24 V(+ 4 8

A roller-coaster track is designed so that the car travels upside down on a certain portion of the track as shown in Figure P5.20. What is the minimum speed the roller coaster can have without...

Determine v(t) for t > 0 in the circuit of Fig. 8.87 . 250 mH 3 20u(t) V (+ 4 20u(t) A v(t) 500 mF

A series RLC circuit has R = 80 , L = 240 mH, and C = 5 mF. If the input voltage is v(t) = 115 cos 2t, find the current flowing through the circuit.

Using Fig. 9.40 , design a problem to help other students better understand phasor relationships for circuit elements. Two elements are connected in series as shown in Fig. 9.40 . If i = 12 cos (2t -...

Determine the admittance Y for the circuit in Fig. 9.44 . 10 J30 WW 10 -10 J10 rell

Find current I o in the circuit shown in Fig. 9.50 . 40 2 5/0 A -j40 2 20 2 j40 Q relll

Using Fig. 9.45 , design a problem to help other students better understand admittance. Find i(t) and v(t) in each of the circuits of Fig. 9.45. a. b. (t) R2 R1 Vs(t) (+ all

Find Z T and V o in the circuit in Fig. 9.71 . Let the value of the inductance equal j20 Ω. Z7 V. 10 -j20 2 5/30 A 20 2 elle

A coin of diameter D C is 300 cm in front of a parallel wall on which is hung a circular flat mirror of diameter D M . A person stands 900 cm from the wall. Show that D M = 3/4 D C is the...

Consider the case of two positive thin lenses, L 1 and L 2 , separated by 5 cm. Their diameters are 6 and 4 cm, respectively, and their focal lengths are 1 = 9 cm and 2 = 3 cm. If a diaphragm with...

A classic 35-mm film camera has a single thin lens having a 50.0-mm focal length. A woman 1.7 m tall stands 10.0 m in front of the camera. (a) Show that the lens-film distance must be 50.3 mm. (b)...

A rock of mass m is tied to a string of length L and swung in a horizontal circle of radius r. The string can withstand a maximum tension T max before it breaks. (a) What is the maximum speed v max...

Find the gravitational force of the Sun on the Earth.

A positive meniscus lens with an index of refraction of 2.4 is immersed in a medium of index 1.9. The lens has an axial thickness of 9.6 mm and radii of curvature of 50.0 mm and 100 mm. Compute the...

Write out the truth table for the following equation: F = (A B) + A' (B' C)

(a) Find all the static hazards in the following circuit. For each hazard, specify the values of the input variables and which variable is changing when the hazard occurs. For one of the hazards,...

A sequential circuit has one input (X) and two outputs (D and B). X represents a 4-bit binary number N, which is input least significant bit first. D represents a 4-bit binary number equal to N 2,...

In the following Verilog code, A, B, C, and D are 0 at time 10 ns. If D changes to 1 at 20 ns, specify the times at which A, B, and C will change and the values they will take. (a) always @(D) begin...

In the following circuit, the XOR gate has a delay in the range of 2 to 16 ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24 ns. The setup time is 8 ns, and the hold...

Develop a Verilog model for a 16-bit carry look-ahead adder utilizing the 4-bit adder from Figure 4-10 as a module.

(a) If gate delays are 5ns, what is the delay of the fastest 4-bit ripple carry adder? (b) If gate delays are 5ns, what is the delay of the fastest 4-bit adder? What kind of adder will it be?

(a) Construct an SM chart equivalent to the following state table. Test only one variable in each decision box. Try to minimize the number of decision boxes. (b) Write a Verilog description of the...

(a) In which applications should a designer use a CPLD rather than an FPGA? (b) In which applications should a designer use an MPGA rather than an FPGA? (c) In which applications should a designer...

Calculate the Laplace transform of the infinite train of unit impulses in Fig. 15.31 . f(t) A 8 t 4

The block diagram for an elevator controller for a building with two floors is shown in the following diagram. The inputs FB 1 and FB 2 are floor buttons in the elevator. The inputs CALL 1 and CALL 2...

Two coils are mutually coupled, with L 1 = 50 mH, L 2 = 120 mH, and k = 0.5. Calculate the maximum possible equivalent inductance if: (a) The two coils are connected in series. (b) The coils are...

Two coils connected in series-aiding fashion have a total inductance of 500 mH. When connected in a series-opposing configuration, the coils have a total inductance of 300 mH. If the inductance of...

Using the superposition principle, find i x in the circuit of Fig. 10.88 . +) 20 cos(2t 60) V 10 cos(2t + 10)A( 4 H -|00 all

Find v o for the circuit in Fig. 10.86 , assuming that i s (t) = 2 sin (2t) + 3 cos (4t) A. i,(t) 10 5 HE Vo rell

A wooden flume is being built to temporarily carry 5000 L/min of water until a permanent drain can be installed. The flume is rectangular, with a 205-mm bottom width and a maximum depth of 250 mm....

A drainage structure for an industrial park has a trapezoidal cross-section similar to that shown in Fig. 14.2 (c). The bottom width is 3.50 ft and the sides are inclined at an angle of 60 from the...