Determine the deflection at B of the bar in Prob. 82. The bar is supported by a roller constraint at B, which allows vertical displacement but resists axial load and moment. If the bar is subjected...

Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Account for the additional strain energy due to shear. Take E = 29(10 3 ) ksi, I = 300 in 4 , G =...

Determine the slope and displacement at point C. Using Castiglianos theorem. E = 29(10 3 ) ksi, I = 800 in 4 . 6 k C 12 k-ft 6 ft 6 ft

Determine the slope and displacement at point C. Use the method of virtual work. E = 29(10 3 ) ksi, I = 800 in 4 . 6 k C 12 k-ft 6 ft 6 ft

Determine the reactions at the supports A,B, and C; then draw the shear and moment diagram. EI is constant. P A C B 2.

Determine the horizontal and vertical displacements at joint ¢of the assembly in Prob. 141. Data From Prob. 141. Determine the stiffness matrix K for the assembly. Take A = 0.5 in 2 and E =...

Convert 0.391 cubic meters to cubic millimeters.

Convert 55.0 gallons to cubic meters.

Convert a length of 25.3 feet to meters.

Convert a distance of 1.86 miles to meters.

Convert a length of 8.65 inches to millimeters.

Convert a distance of 2580 feet to meters.

Convert a volume of 7390 cubic centimeters to cubic meters.

Convert a volume of 6.35 liters to cubic meters.

Convert 6.0 feet per second to meters per second.

Give five examples of Newtonian fluids.

Give four examples of the types of fluids that are non-Newtonian.

A capillary type viscometer similar to that shown in Fig. 2.7 is being used to measure the viscosity of an oil having a specific gravity of 0.90. The following data apply: Tube inside diameter =...

An automobile is moving at 80 kilometers per hour. Calculate its speed in meters per second.

Convert 2500 cubic feet per minute to cubic meters per second.

A car travels 0.50 km in 10.6 s. Calculate its average speed in m/s. A body moving with constant velocity obeys the relationship s = vt, where s = distance, v = velocity, and t = time.

Calculate the kinetic energy in Nm of a 75-kg box moving on a conveyor at 6.85 m/s. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Calculate the velocity in m/s of a 175-g body if it has a kinetic energy of 212 m Nm. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Calculate the kinetic energy in ft-lb of a 1-slug mass if it has a velocity of 4 ft/s. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Calculate the mass of a body in slugs if it has a kinetic energy of 15 ft-lb when moving at 2.2 ft/s. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Calculate the weight of a body in lb if it has a kinetic energy of 38.6 ft-lb when moving at 19.5 mi/h. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

At 100C mercury has a specific weight of 130.4 kN/m 3 . What volume of the mercury would weigh 2.25 kN?

Write an expression in Cartesian coordinates for a harmonic plane wave of amplitude A and frequency propagating in the positive x-direction.

The thickness of a typical piece of paper is 6 10 5 m. Suppose a large stack of papers is assembled, reaching to the top floor of the Empire State Building. Approximately how many pieces of paper...

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...

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...

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...

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 cylindrical drum is 2 ft in diameter, 3 ft long, and weighs 30 lb when empty. Aluminum weights are to be placed inside the drum to make it neutrally buoyant in fresh water. What volume of aluminum...

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...

(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

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...

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...

Compute the energy loss in a 90 bend in a steel tube used for a fluid power system. The tube has a -in OD and a wall thickness of 0.065 in. The mean bend radius is 2.00 in. The flow rate of hydraulic...

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

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...

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

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.