The load is supported by the four 304 stainless steel wires that are connected to the rigid members AB and DC. Determine the angle of tilt of each member after the 500-lb load is applied. The members...
The 60-mm-diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Ï allow = 80 MPa. Determine the maximum allowable torque T. Also, find the corresponding angle of twist...
The composite shaft consists of a mid-section that includes the 1-in.-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges and...
The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N m, determine the maximum bending stress in the beam. Sketch a three-dimensional...
The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Determine its smallest diameter d if the allowable bending stress is Ï allow = 180...
Determine the smallest allowable diameter of the shaft. The shaft is supported by a thrust bearing at A and a journal bearing at B. The allowable bending stress is Ï allow = 22 ksi. 400 lb 300...
The H-beam is subjected to a shear of V = 80 kN. Determine the shear flow at point A. 250'mm 30 mm 300 mm -25 mm 50 mm -25 mm
The assembly is subjected to a vertical shear of V = 7 kip. Determine the shear flow at points A and B and the maximum shear flow in the cross section A- 0.5 in. B- 6 in. 2 in 6 in.. 0.5 in. 0.5 in....
The solid rod is subjected to the loading shown. Determine the state of stress at point C, and show the results on a differential volume element located at this point. 200 mm 200 mm 20 kN 'B 100 kN...
Determine the principal stresses in the cantilevered beam at points A and B 30 mm- 40 mm- Bz 800 mm 120 mfm 1200 mm 150 mm 15 kN
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 80 MPa 60 MPa
Draw Mohrs circle that describes each of the following states of stress. 2 ksi | 600 psi 20 MPa 800 psi (a) (b) (c)
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 30 ksi 9 ksi
The thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 500 psi and the axial tension and torsional loadings shown, determine...
The T-beam is made from concrete having a specific weight of 150 lb/ft 3 . Determine the dead load per foot length of beam. Neglect the weight of the steel reinforcement. 40 in.- 8 in. 26 in. F10 in.
Classify each of the frames as statically determinate or indeterminate. If indeterminate, specify the degree of indeterminacy. All internal joints are fixed connected. a. b. c. d.
Determine the force in each member of the truss. State if the members are in tension or compression.Assume all members are pin connected.AG = GF = FE = ED. 8 kN 8 kN 8 kN 4 kN 4 kN 2 m 4 m - 4 m
Determine the force in members GF, FC, and CD of the bridge truss. State if the members are in tension or compression. Assume all members are pin connected. 15 ft 30 ft B. - 40 ft-40 - 40 ft- 40 ft-...
Determine the forces in all the members of the complex truss. State if the members are in tension or compression. 600 lb 130 30 FO 12 ft 45 45 -6 ft 6 ft
Determine the force in each member and state if the members are in tension or compression. 4 kN 4 kN m- 2 m
Draw the shear and moment diagrams for each member of the frame. 10 kN 5 kN 5 kN IB 2 kN/m 4 m F3m -3 m--2 m--2 m-3 m-
The beam supports a uniform dead load of 500 N/m and a single live concentrated force of 3000 N. Determine (a) The maximum positive moment at C, and (b) The maximum positive shear at C. Assume the...
Determine the absolute maximum moment in the girder bridge due to the truck loading shown. The load is applied directly to the girder. 15 k 10 k 3k 20 ft 8 ft 4 ft B. 80 ft
Glycerin has a specific gravity of 1.258. How much would 0.50 m 3 of glycerin weigh? What would be its mass?
A storage vessel for gasoline (sg = 0.68) is a vertical cylinder 30 ft in diameter. If it is filled to a depth of 22 ft, calculate the number of gallons in the tank and the weight of the gasoline.
The viscosity of an oil is given as 80 SUS at 100F. Determine the viscosity in m 2 /s.
Calculate the mass of 1 gal of oil if it weighs 7.8 lb.
A boater travels from some initial point P 1? to a final point P 2 along the dashed line shown in Figure P1.58. Find and the total distance traveled. Figure P1.58 ? y P -77 m- 195 m P2
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...
A vat has a sloped side, as shown in Fig. 4.27. Compute the resultant force on this side if the vat contains 15.5 ft of glycerin. Also compute the location of the center of pressure and show it on a...
Refer to Fig. 4.31. 450-mm diameter 0.45 m 1.5 m Circular view port is centered in inclined side of Oil tank. (sg = 0.85) 0.30 m 300
Use Fig. 4.52. The surface is 1.50 m long. Water 2,80 m 1.20-m radius
What is the critical angle for total internal reflection for diamond in air? What, if anything, does the critical angle have to do with the luster of a well-cut diamond?
The instrument package shown in Fig. 5.18 weighs 258 N. Calculate the tension in the cable if the package is completely submerged in seawater having a specific weight of 10.05 kN/m 3 . Water surface...
Repeat Problem 6.47, but use Schedule 80 DN pipe. Repeat Problem Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify...
What pressure is required above the water in Fig. 6.13 to cause the jet to rise to 9.50 m? The water depth is 1.50 m. 40.0 ft Air pressure h = 6.0 ft
Figure 6.30 shows a manometer being used to indicate the pressure difference between two points in a fabricated system. Calculate the volume flow rate of water in the system if the manometer...
A flow nozzle, shown in Fig. 6.18, is used to measure the velocity of flow. If the nozzle is installed inside a 14-in Schedule 40 pipe and the nozzle diameter is 4.60 in, compute the velocity of flow...
Hot water at 80C is flowing to a dishwasher at a rate of 15.0 L/min through a standard hydraulic copper tube, 15 mm OD 1.2 mm wall. Is the flow laminar or turbulent?
Benzene at 60C is flowing in a DN 25 Schedule 80 steel pipe at the rate of 20 L/min. The specific weight of the benzene is 8.62 kN/m 3 . Calculate the pressure difference between two points 100 m...
Water at 60°F is being pumped from a stream to a reservoir whose surface is 210 ft above the pump. See Fig. 8.19. The pipe from the pump to the reservoir is an 8-in Schedule 40 steel pipe, 2500...
Calculate the mesh currents i 1 and i 2 in Fig. 3.92 . 10 ww 10 www + 10 2 40 V
Find v o in the op amp circuit of Fig. 5.92 . 100 k2 www 100 k2 10 k2 100 k2 30 2 30 k2 +. ww- 70 mv 70 kQ Vo Q+
Determine the voltage input to the inverting terminal of an op amp when 40 V is applied to the noninverting terminal and the output through an openloop gain of 150,000 is 15 V.
Using Fig. 4.102 , design a problem that will help other students better understand Thevenin equivalent circuits. Find the Thevenin equivalent at terminals a-b of the circuit in Fig. 4.102. R3 R, R2...
Use source transformation to find v o in the circuit of Fig. 4.97 . 4 k2 3vo 2 k2 Vo 1 k2 3 mA
Compute points on the velocity profile from the pipe wall to the centerline of a 2-in Schedule 40 steel pipe if the volume flow rate of castor oil at 77F is 0.25 ft 3 /s.
Figure 9.20 shows a liquid-to-air heat exchanger in which air flows at 50 m 3 /h inside a rectangular passage and around a set of five vertical tubes. Each tube is a standard hydraulic steel tube, 15...
Calculate the pressure difference across a fully open angle valve placed in a 5-in Schedule 40 steel pipe carrying 650 gal/min of oil (sg = 0.90).
Determine the energy loss due to a sudden enlargement from a 50 mm OD 2.4 mm wall plastic pipe to a 90 mm OD 2.8 mm wall plastic pipe when the velocity of flow is 3 m/s in the smaller pipe.
Figure 11.33 shows a part of a chemical processing system in which propyl alcohol at 25°C is taken from the bottom of a large tank and transferred by gravity to another part of the system. The...
Galileos best telescope had an eyepiece of -40 mm focal length, along with a biconvex objective about 30 mm in diameter. That objective formed real intermediate images of stars roughly 120 cm down...
Determine V o and I o in the circuit of Fig. 10.80 using mesh analysis. J4 u . 2 3V. 2 10/-30 A + >I
(a) Draw a circuit diagram for an LFSR with n = 5 that generates a maximum-length sequence. (b) Add logic so that 00000 is included in the state sequence. (c) Determine the actual state sequence.
Write a test bench for the elevator controller of Problem 5.10. The test bench has two functions: to simulate the operation of the elevator (including the door operation) and to provide a sequence of...
A sequential circuit has the following state graph: The three states can be distinguished using the input sequence 11 and observing the output. The circuit has a reset input, R, that resets the...
A solid cube of mass 40 kg and edge length 0.30 m rests on a horizontal floor as shown in Figure P8.34. A person then pushes on the upper edge of the cube with a horizontal force of magnitude F. At...
A guitar string of diameter 0.50 mm and length 0.75 m is subject to a tension of 150 N. If the string stretches an amount 0.40 mm, what is Youngs modulus of the string?
If the frequency of a wave is doubled, how does the wavelength change?
A solid glass sphere with an initial diameter d = 25.00 cm is subject to a pressure of 1000 P atm , where atmospheric pressure P atm = 1.01 10 5 Pa. What is the new diameter of the sphere? The...
The speed of sound in water is 1500 m/s. Find the wavelength of a sound wave whose frequency is 300 Hz.
When you tune a guitar, what causes the frequency to change?
When a sound wave passes from air into a solid object, which of the following wave properties stays the same and which change? Explain. (a) The amplitude (b) The frequency (c) The wave speed (d) The...
A bass guitar has longer strings than a regular guitar. Explain why these longer strings allow a bass guitarist to play lower notes.
Figure P12.7 shows a snapshot of a wave on a string. If the frequency of this wave is 20 Hz, what is the approximate speed of the wave? Figure P12.7 ? y () 1 2 3
A guitar string that should produce 110 Hz (the note A) instead produces 105 Hz. (a) What change in tension is needed to bring the string into tune? (b) Sometimes a guitar is tuned to drop-D tuning,...
Consider two notes on a guitar whose fundamental frequencies are in the ratio 5/4. These notes differ by a musical interval called a major third. If these notes are played on strings that are made of...
Figure P12.58 shows a standing wave on a string. If the frequency of the wave is 440 Hz, what is the speed of a wave on this string? Figure P12.58 ? 0.60 m
The vibrating length of a guitar string is reduced by a factor of 2.5 when a player holds the string against a fret. What is the change in the frequency of the fundamental standing wave on the string?
When sound waves are studied deep within the ocean, it is found that a plane wave that is initially parallel to the ocean floor will gradually bend upward and have a propagation direction that is...
For the spherical wave emitted by a small light bulb, what is the ratio of the amplitudes of the wave at r = 4.0 m and r = 2.5 m from the light bulb?
Your favorite television station transmits using an electromagnetic wave with a wavelength of approximately 1.5 m. What is the frequency?
Consider a wave that has a frequency of 3.0 kHz and a wavelength of 0.10 m. Write an equation that might describe this wave.
A student sends a transverse wave pulse down a stretched piece of string attached to a wall. A moment later, she sends a second wave pulse. Is there any way she could alter the conditions to make the...
A source of sound has a total emitted power of 300 W. What is the intensity a distance of 10 m from the source? Assume the source emits spherical waves.
When a police car is at rest, its siren has a frequency of 750 Hz. You are a thief, and just after finishing a nights work, you hear a siren with a frequency of 700 Hz. Your fellow thief tells you to...
Explain why the sounds emitted by large animals usually have a lower frequency than those from small animals. Consider the standing waves in the vocal tract.
The distance along a sound wave between a point of condensation and the nearest rarefaction is 0.45 m. What is the wavelength of this sound wave?
A sound wave in air has a frequency of 220 Hz. What is its wavelength?
An organ pipe that is closed at one end has a fundamental frequency of 175 Hz. There is a leak in the church roof, and some water gets into the bottom of the pipe as shown in Figure P13.40. The...
Consider a steel rod that vibrates longitudinally. If the rod is 1.5 m long, what is the fundamental frequency? Assume the ends of the rod are displacement anti nodes (i.e., it behaves as an organ...
A siren has a frequency of 750 Hz when it is at rest, whereas it has an apparent frequency of 800 Hz when it is moving toward a stationary observer. What is the speed of the siren in the latter case?
A guitar is tuned to play a note at 440 Hz. If the guitar is in a moving car and the note has a perceived frequency of 410 Hz, what is the speed of the car? Assume the car is moving directly away...
Your swimming pool is square and 5.0 m on a side. It is 3.0 m deep in the morning. If the temperature changes by 20C during the afternoon, how much does the depth of the water increase?
One section of a steel railroad track is 25 m long. If its temperature increases by 25 K during the day, how much does the track expand?
In Chapter 17, we argued that the electric field inside a metal in equilibrium is always zero. In this chapter, we found that there is a nonzero electric field inside a current-carrying wire. How can...
Consider the circuit in Figure P19.31 with resistors R 1 = 550 , R 2 = 5 400 , R 3 = 220 , and R 4 = 170 . What is the equivalent resistance between points A and B? R2 R1 R33 R4 B- Figure P19.31
Use the approach from Problems 50 and 51 to analyze the circuit in Figure P19.52. What is the current through the battery and resistor R1? Hint: First redraw the circuit so that the parallel and...
A general rule of thumb when listening to and watching a thunderstorm is that the distance from a listener to the lightning strike can be estimated in the following way: First, count the number of...
Some cordless telephones use radio waves with a frequency near 2.4 GHz to transmit to their base station. What is the wavelength of these waves?
An electric quadrupole consists of two oppositely directed di-poles in close proximity.? (a) Calculate the field of the quadrupole shown in Fig. 20.33 for points to the right of x =a? (b) show that...
Determine the NPSH available when a pump draws gasoline at 40C (sg = 0.65) from an underground tank whose level is 2.7 m below the pump inlet. The energy losses in the suction line total 1.18 m and...
Of the following countries, the one that obtains the largest proportion of its electricity from nuclear energy is a. France b. China c. Japan d. United States
Classify each of the following common objects as being either chiral or achiral. Assume in each case that the object is in its simplest form, without decoration or printed labels. (a) A ladder; (b) A...
Give the expected major product of catalytic hydrogenation of each of the following alkenes. Clearly show and explain the stereochemistry of the resulting molecules. CH3 CH3 H () (b) (c) H H2C...
Give the expected major product from the reaction of each alkene with (i) peroxide-free HBr (ii) HBr in the presence of peroxides. (a) 1-Hexene; (b) 2-methyl-1-pentene; (c) 2-methyl-2-pentene; (d)...
For each compound in each of the following groups of isomers, indicate the number of signals in the 1 H NMR spectrum, the approximate chemical shift of each signal, and the integration ratios for the...
The bicyclic alkene car-3-ene, a constituent of turpentine, undergoes catalytic hydrogenation to give only one of the two possible stereoisomeric products. The product has the common name cis-carane,...
Write the expected product(s) of each of the following reactions. CH3 3 NANH, liquid NH, 2 NANH,, liquid NH, () CH-CH-CHCCH-CI (b) CH,OCH,CH,CH,CHCHCH3 I Br Br NaOCH, (1 equivalent), CH,OH CH3 CI CI...