The hoist supports the engine of mass M. Determine the force in member DB and in the hydraulic cylinder H of member FB. Units Used: kN = 103 N Given: M = 125 kg a = 1 m b = 2 m c = 2 m d = 1 m e = 1...
A mechanic uses a crowfoot wrench to loosen a bolt at C. The mechanic holds the socket wrench handle at points A and B and applies forces at these points. Knowing that these forces are equivalent to...
The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension is 510 N in cable AB and 765 N in cable AC, determine the magnitude and direction of the resultant of...
The relationship between the pressure P and volume V of the air in a cylinder during the upstroke of a piston in an air compressor can be expressed as PVk = C where k and C are constant. During a...
A water pipe is connected to a double-U manometer as shown in Fig. P1116E at a location where the local atmospheric pressure is 14.2 psia, determine the absolute pressure at the center of the pipe....
To cool a summer home without using a vapor-compression refrigeration cycle, air is routed through a plastic pipe (k = 0.15 W/m K, Di = 0.15 m, Do = 0.17 m) that is submerged in an adjoining body of...
A scale is constructed using the 10-kg mass, the 2-kg pan P, and the pulley and cord arrangement. Cord BCA is 2 m long. If s = 0.75 m, determine the mass D in the pan. Neglect the size of thepulley....
The pilot of an airplane reads the altitude 3000 m and the absolute pressure 58 kPa when flying over a city. Calculate the local atmospheric pressure in that city in kPa and in mm Hg. Take the...
Using Castiglianos theorem, determine the deflection of point B in the direction of the force F for the bar shown. The solid bar has a uniform diameter, d. Neglect bending shear. 0 ct
An electrical resistor is connected to a battery, as shown schematically. After a brief transient, the resistor assumes a nearly uniform, steady-state temperature of 95C, while the battery and lead...
A transmission case measures W = 0.30 m on a side and receives a power input of Pi = 150 hp from the engine. If the transmission efficiency is = 0.93 and air flow over the case corresponds to T =...
An ideal gas mixture contains 35% helium. 20% methane, and 45% nitrogen by volume at 2.00 atm absolute and 90C. Calculate (a) The partial pressure of each component. (b) The mass fraction of methane,...
For a K + ?Cl ? ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to For these expressions, energies are expressed in electron...
A straight fin fabricated from 2024 aluminum alloy (k = 185 W/m K) has a base thickness of t = 3 mm and a length of L = 15 mm. Its base temperature is Tb = 100C, and it is exposed to a fluid for...
A fuel gas containing 86% methane, 8% ethane, and 6% propane by volume flows to a furnace at a rate of 1450 m 3 /h at 15C and 150 kPa (gauge), where it is burned with 8% excess air. Calculate the...
A long, cylindrical, electrical heating element of diameter D = 10 mm, thermal conductivity k = 240 W/m K, density p = 2700 kg/m3, and specific heat cp = 900 J/kg K is installed in a duct for which...
Heat conduction in an annulus (Fig. 10B.4), (a) Heat is flowing through an annular wall of inside radius r 0 and outside radius r 1 . The thermal conductivity varies linearly with temperature from k...
Velocity profiles and the stress components ij. For each of the following velocity distributions, draw a meaningful sketch showing the flow pattern. Then find all the components of 'r and pvv for the...
A vacuum system, as used in sputtering electrically conducting thin films on microcircuits, is comprised of a base plate maintained by an electrical heater at 300 K and a shroud within the enclosure...
Strawberries contain about 15 wt% solids and 85 wt% water. To make strawberry jam, crushed strawberries and sugar are mixed in a 45:55 mass ratio, and the mixture is heated to evaporate water until...
A completely enclosed stirred-tank heating process is used to beat an incoming stream whose flow rate varies. The heating rate from this coil and the volume are both constant. (a) Develop a...
Propane gas enters a continuous adiabatic heat exchanger? at 40?C and 250 kPa and exits at 240?C superheated steam at 300?C and 5.0 bar enters the exchanger flowing counter currently to the propane...
A mixture that contains 46 wt% acetone (CH3COCH3), 27% acetic acid (CH3COOH), and 27% acetic anhydride [(CH3CO) 2O] is distilled at P = 1 atm. The feed enters the distillation column at T = 348 K at...
You have seven closed containers, each with equal masses of chlorine gas (Cl 2 ). You add 10.0 g of sodium to the first sample, 20.0 g of sodium to the second sample, and so on (adding 70.0 g of...
A hot-air dryer is used to reduce the moisture content of 1500 kg/mm of wet wood pulp from 0.75 kg H2Ofkg dry pulp to 0.15 wt% H2O. Air is drawn from the atmosphere at 28C, 760 mm Hg, and 50%...
The wedge is used to level the member. Determine the reversed horizontal force -P that must be applied to pull the wedge out to the left. The coefficient of static friction between the wedge and the...
This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the...
Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chickens 40-year-old egg-sorting machine...
Spray drying is a process in which a liquid containing dissolved or suspended solids is injected into a chamber through a spray nozzle or centrifugal disk atomizer. The resulting mist is contacted...
Pulleys A and B are mounted on bracket CDEF. The tension on each side of the two belts is as shown. Replace the four forces with a single equivalent force, and determine where its line of action...
Wet sugar that contains one-fifth water by mass is conveyed through an evaporator in which 85.0% of the entering water is vaporized. (a) Taking a basis of 100 kg feed, calculate (i) XW, the mass...
An inclined manometer is a useful device for measuring small pressure differences. The formula given in Section 3.4 for the pressure difference in terms of the liquid-level difference h remains...
The volume of a microbial culture is observed to increase according to the formula V (cm 3 ) = et where t is time is seconds. (a) Calculate the expression for V (in. 3 ) in terms of t(h). (b) Both...
Locate the centroid of the quarter-cone. dt
A solution was prepared by dissolving 5.76 g of KCl MgCl2 6H2O (277.85 g/mol) in sufficient water to give 2.000 L. Calculate (a) The molar analytical concentration of KCl MgCl2 in this solution....
When y is zero, the springs are each stretched a distance δ. Determine the distance y if a force F is applied to points A and B as shown. The ends of cords CAD and CBD are attached to rings at...
Determine the smallest force F that must be applied along the rope in order to cause the curved rod, which has radius r, to fail at the support C. This requires a moment to be developed at C of...
An oil pump is drawing 35 kW of electric power while pumping oil with r = 860 kg/m3 at a rate of 0.1 m3/s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm, respectively. If the pressure...
Sketch vo for the network of Fig. 2.170 and determine the dc voltage available. Ideal diodes 170 V 2.2 k -Vo + 2.2 k -170 V 2.2 k2
Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O, and has magnitude FR. Also, what is the...
A metal rod of length 2L, diameter D, and thermal conductivity k is inserted into a perfectly insulating wall, exposing one-half of its length to an air stream that is of temperature T and provides a...
A pin in a knuckle joint carrying a tensile load F deflects somewhat on account of this loading, making the distribution of reaction and load as shown in part (b) of the figure. A common...
A pivot in a linkage has a pin in the figure whose dimension a ta is to be established. The thickness of the link clevis is 1.500 0.005 in. The designer has concluded that a gap of between 0.004...
A ski lift has a one-way length of 1 km and a vertical rise of 200 m. The chairs are spaced 20 m apart, and each chair can seat three people. The lift is operating at a steady speed of 10 km/h....
The tractor shovel carries a 500-kg load of soil, having a center of mass at G. Compute the forces developed in the hydraulic cylinders IJ and BC due to thisloading. 30 350 mm 200 mm 300 mm 300 mm...
A technique for measuring convection heat transfer coefficients involves bonding one surface of a thin metallic foil to an insulating material and exposing the other surface to the fluid flow...
In trying to move across a slippery icy surface, a 175-lb man uses two ropes AB and AC. Knowing that the force exerted on the man by the icy surface is perpendicular to that surface, determine the...
As shown in Fig. P1.38, an underwater exploration vehicle submerges to a depth of 1000 ft. if the atmospheric pressure at the surface is 1 atm, the water density is 62.4 lb/ft3, and g = 32.2ft/s2,...
A high-temperature, gas-cooled nuclear reactor consists of a composite cylindrical wall for which a thorium fuel element (k = 57 W/m K) is encased in graphite (k 3 W/m K) and gaseous helium flows...
Determine F12 and F21 for the following configurations using the reciprocity theorem and other basic shape factor relations. Do not use tables or charts. (a) Long duct (b) Small sphere of area A1...
Two forces are applied at the end of a screw eye in order to remove the post. Determine the angle ? (0 ? ? ? 90) and the magnitude of force F so that the resultant force acting on the post is...
Annealing is a process by which steel is reheated and then cooled to make it less brittle. Consider the reheat stage for a 100-mm-thick steel plate (p = 7830 kg/m 3 , c = 550 J/kg K, k = 48 W/m K),...
One thousand kilograms per hour of a 45 wt% acetone in- water solution is to be extracted at 25?C in a Continuous, countercurrent system with pure 1,1 ,2-trichloroethane to obtain a raffinate...
A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated in the sketch. On a cold winter day the convection heat transfer coefficients are ho = 60 W/m'2. K and hi...
Determine the Miller indices for the planes shown in the following unitcell: +2 B A 1/2 00112 +y
Figure P1-37 shows a tank within a tank, each containing air. The absolute pressure ion tank A is 267.7 kPa. Pressure gage A is located inside tank B and reads 140 kPa. The U-tube manometer connected...
A 1000-gallon tank currently contains 100.0 gallons of liquid toluene and a gas saturated with toluene vapor at 85F and 1 atm. (a) What quantity of toluene (lb m ) will enter the atmosphere when the...
Name the following coordination compounds. a. [Cr(H2O)5Br]Br2 b. Na3[Co(CN)6] c. [Fe(NH2CH2CH2NH2)2(NO2)2]Cl d. [Pt(NH3)4I2] [PtI4]
Determine the moment of inertia Iz of the frustum of the cone which has a conical depression. The material has a density . Given: = 200kg/m3 a = 0.4 m b = 0.2 m c = 0.6 m d = 0.8 m
The loading on the bookshelf is distributed as shown. Determine the magnitude of the equivalent resultant location, measured from point O. Given: w1 = 2lb/ft w2 = 3.5lb/ft a = 2.75 ft b = 4 ft c =...
Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is M counterclockwise. Where on the beam does the resultant couple act? Given: M = 300 lb⋅...
The block brake consists of a pin-connected lever and friction block at B. The coefficient of static friction between the wheel and the lever is s and a torque M is applied to the wheel. Determine if...
Air containing 1.6 vol% sulfur dioxide is scrubbed with pure water in a packed column of 1.5-m2 cross-sectional area and 3.5-m height packed with no. 2 plastic Super Intalox saddles, at a pressure of...
Determine the force in members CD, CJ, KJ, and DJ of the truss which serves to support the deck of a bridge. State if these members are in tension or compression. Units Used: kip = 103 lb Given: F1 =...
Jets of high-speed steam are used in spray cleaning. Steam at 15.0bar with 150C of superheat is fed to a well-insulated valve at a rate of 1.00 kg/s. As the steam passes through the valve, its...
Determine the magnitude of the resultant hydrostatic force acting on the dam and its location H, measured from the top surface of the water. The width of the dam is w; the mass density is w. Units...
A horizontal cylindrical drum is 2.00m in diameter and 4.00 m long. The drum is slowly filled with benzene (density = 0.879g/cm3). Derive a formula for W, the weight in Newton's of the benzene in the...
a. Given Pmax = 14 mW for each diode at Fig. 2.167, determine the maximum current rating of each diode (using the approximate equivalent model). b. Determine/max for Vmax for Vimax = 160 V. c....
The gage pressure of the air in the tank shown in Fig P173 is measured to be 80 kPa. Determine the differential height h of the mercury column. Oil SG 0.72 80 kPa 75 cm Air Mercury SG 13.6 30 cm
Locate the centroid of the shaded area bounded by the parabola and the line y = a. y =a- (, ) (. ) dy
Two parallel 60-N forces are applied to a lever as shown. Determine the moment of the couple formed by the two forces (a) By resolving each force into horizontal and vertical components and adding...
A young engineer is asked to design a thermal protection barrier for a sensitive electronic device that might be exposed to irradiation from a high-powered infrared laser. Having learned as a student...
Three hundred L/h of a 20 mole% C 3 H 8 ?80% n-C 4 H 10 gas mixture at 0 o C and 1.1 atm and 200 L/h of a 40 mole% C 3 H 8 ?60% n-C 4 H 10 mixture at 25?C and 1.1 atm are mixed and heated to 227?C at...
The climactic moment in the film The Eggplant That Ate New Jersey comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: V(ft3) = 3.53 x 102...
Consider the following page reference string: 1, 2, 3, 4, 2, 1, 5, 6, 2, 1, 2, 3, 7, 6, 3, 2, 1, 2, 3, 6 How many page faults would occur for the following replacement algorithms, assuming one, two,...
Determine vo and the required PIV rating of each diode for the configuration of Fig. 2.168. 100 V Ideal diodes -100 V 2.2 k
Ropes AB and AC are thrown to a boater whose canoe had capsized. Knowing that α =25° and that the magnitude of the force FR exerted by the river on the boater is 70 lb, determine the...
Air contained within a piston-cylinder assembly is slowly heated. As shown in Fig.P2.32, m during this process the pressure first varies linearly with volume and then remains constant. Determine the...
The aircraft-hangar door opens and closes slowly by means of a motor which draws in the cable AB. If the door is made in two sections (bi-fold) and each section has a uniform weight W and length L,...
The roof truss supports the vertical loading shown. Determine the force in members BC, CK, and KJ and state if these members are in tension or compression. Units Used: kN = 103 N Given: F1 = 4kN F2 =...
Consider a home heating system consisting of a natural gas-flied furnace and a thermostat. In this case the process consists of the interior space to be heated. The thermostat contains both the...
A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20_ pressure angle as shown. The power is...
The cross section of a long cylindrical fuel element in a nuclear reactor is shown. Energy generation occurs uniformly in the thorium fuel rod, which is of diameter D = 25 mm and is wrapped in a thin...
A stadium roof truss is loaded as shown. Determine the force in members AB, AG, and FG. 1 kN 8 kN SKN 4 kN 2.7 m D. 3.6 a 4.2 m 4.2 m 9.45 m 2.4 m 24 m
Ninety-five percent of the acetone vapor in an 85 vol% air stream is to be absorbed by countercurrent contact with pure water in a valve-tray column with an expected overall tray efficiency of 50%....
Water is heated by submerging 50-mm diameter, thin-walled copper tubes in a tank and passing hot combustion gases (Tg = 750 K) through the tubes. To enhance heat transfer to the water, four straight...
A straw oil used to absorb benzene from coke-oven gas is to be steam-stripped in a sieve-plate column at atmospheric pressure to recover the dissolved benzene. Equilibrium conditions at the operating...
Determine the distance y to the centroid of the beam?s cross-sectional area; then find the moment of inertia about the x-axis. 50 mm 50 mm 300 mm 100 mm -200 mm
A liquid-phase chemical reaction A ? B takes place in a well-stirred tank. The concentration of A in the feed is C A0 (mol/m 3 ), and that in the tank and outlet stream is C A (mol/m 3 ). Neither...
A worker tries to move a rock by applying a 360-N force to a steel bar as shown. If two workers attempt to move the same rock by applying a force at A and a parallel force at C, determine these two...
The exit gas from an alcohol fermenter consists of an air-C02 mixture containing 10 mol% C02 that is to be absorbed in a 5.0-N solution of triethanolamine, containing 0.04 mol of carbon dioxide per...
Titanium dioxide (TiO 2 ) is used extensively as a white pigment. It is produced from an ore that contains ilmenite (FeT i O 3 ) and ferric oxide (Fe 2 O 3 ). The ore is digested with an aqueous...
A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at 200e. The rod is in an air environment with T = 20C and h = 30 W/m2 K. What is the temperature of the rod 25, 50,...
Monochlorobenzene (M) is produced commercially by the direct catalytic chlorination of benzene at 40?C and 120 kPa absolute. In the process, dichlorobenzene (D) is generated as a co product: Liquid...
A perfectly stirred, constant-volume lank has two input streams, both consisting of the same liquid. The temperature and flow rate of each of the streams can vary with time. (a) Derive a dynamic...
Determine Vo1, Vo2, and I for the network of Fig. 2.157. 0.47 k 20V S
Determine the force in members CD, CF, and CG and state if these members are in tension or compression. Units Used: kN = 103 N Given: F1 = 2kN F4 = 5kN a = 5 m F2 = 4kN F5 = 3kN b = 2 m F3 = 4kN c =...
It is known that the connecting rod AB exerts on the crank BC a 2.5-kN force directed down and to the left along the centerline of AB. Determine the moment of that force about C. 144 mm 56 im m 42 mm
Knowing that the radius of each pulley is 200 mm and neglecting friction, determine the internal forces at point J of the frame shown. IS m 0.2 - 08 m 02 m 08m 0,6 m
Calculate Z and V' for sulfur hexafluoride al 75(C and 15 bar by die following equation: (a) The truncated virial equation [Eq. (3.40)] with the following experimental values of virial coefficients:...