The truck is to be towed using two ropes. Determine the magnitude of forces FA and FB acting on each rope in order to develop a resultant force of 950 N directed along the positive x axis. Set ? =...
Determine Vo and ID for the network of Fig. 2.158. Si Si
A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and...
Laminar flow in a narrow slit (see Fig. 2B.3).? (a) A Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. It is understood that B p + pgh = p ? pgz...
Annular flow with inner cylinder moving axially (see Fig. 2B.7), a cylindrical rod of diameter KR moves axially with velocity v0 along the axis of a cylindrical cavity of radius R as seen in the...
The skid steer loader has a mass M1, and in the position shown the center of mass is at G1. If there is a stone of mass M2 in the bucket with center of mass at G2 determine the reactions of each pair...
Determine Vo1 and Vo2 and the networks of Fig. 2.154. Ge Si 1.2 k2 +12 Vo- -10 V o o Vo 92 3.3 k
The rig shown consists of a 5.4-kN horizontal member ABC and a vertical member DBE welded together at B. The rig is being used to raise a 16.2-kN crate at a distance x = 4.8 m from the vertical...
Analysis of a capillary flow meter (see Fig. 2B.8). Determine the rate of flow (in lb/hr) through the capillary flow meter shown in the figure. The fluid flowing in the inclined tube is water at 20 o...
Determine Vo and I for the networks of Fig. 2.156. +10 V +16 V Si Si Si Si Ge 4.7 k +12 V
Locate the centroid yc of the concrete beam having the tapered cross section shown. Given: a = 100 mm b = 360 mm c = 80 mm d = 300 mm e = 300 mm -- a -
Laminar flow in a triangular duct (Figure 3B.2) 2 one type of compact heat exchanger is shown in Figure 3B.2 (a). In order to analyze the performance of such an apparatus, it is necessary to...
A methanol?water feed stream is introduced to a vaporizer in which a molar fraction f of the feed is vaporized. The feed has a methanol mole fraction of x F = 0.4, and the vaporizer operates at a...
Sketch vo for the network of Fig. 2.169 and determine the dc voltage available. 100 V Ideal diodes -100 V 2.2 k 2.2 k 2.2 k
The cone-and-plate viscometer (see Fig. 2B.11). A cone-and-plate viscometer consists of a stationary flat plate and an inverted cone, whose apex just contacts the plate. The liquid whose viscosity is...
It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annular fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m K). The air is at 320K and the...
One slip system for the HCP crystal structure is {0001}. In a manner similar to Figure, sketch a {0001}-type plane for the HCP structure and, using arrows, indicate three different slip directions...
In the two-dimensional body illustrated, the gradient at surface A is found to be T/y = 30 K/m. What are T/y and T/x at surface B? Insulation B, TB = 100C 1m k = 10 W/m-K +2 m-- A, TA = 0C %3D
a. Determine VL, IL, IZ, and IR for the network Fig. 2.181 if RL = 180 Ω. b. Repeat part (a) if RL = 470 H. c. Determine the value of RL, that will establish maximum power conditions for...
Steam flowing through a long, thin-walled pipe maintains the pipe wall at a uniform temperature of 500 K. The pipe is covered with an insulation blanket comprised of two different materials, A and B....
Upon consideration of the SiO2???Al2O3 phase diagram, Figure, for each pair of the following list of compositions, which would you judge to be the more desirable refractory? Justify your choices. (a)...
Sketch vo for each network of Fig. 2.176 for the input shown. 20 V Ideal v Ideal -20 V
Following is a diagram of the shirt-cleaning process used by the Floods of Suds One-Day Laundry Services, Inc. The shirts are soaked in an agitated tub containing Whizzo the Wonder Detergent, and are...
From Figure, the phase diagram for the MgO???Al2O3 system, it may be noted that the spinel solid solution exists over a range of compositions, which means that it is nonstoichiometric at compositions...
Saturated steam at a gauge pressure of 2.0bar is to be used to heat a stream of ethane. The ethane enters a heat exchanger at 16?C and 1.5 bar gauge at a rate of 795m 3 /min and is heated at constant...
The man attempts to pull the log at C by using the three ropes. Determines the direction θ in which he should pull on his rope with a force P, so that he exerts a maximum force on the log. What...
Water enters a 2.00-m3 tank at a rate of 6.00 kg/s and is withdrawn at a rate of 3.00 kg/s. The tank initially half full. (a) Is this process continuous, batch, or semi batch? Is it transient or...
Laminar slit flow with a moving wall ("plane Couette flow") Extend Problem 2B.3 by allowing the wall at x = B to move in the positive z direction at a steady speed v0. Obtain (a) The shear-stress...
Specify the magnitude F3 and directions α3, β3, and γ3 of F3 so that the resultant force of the three forces is FR. Units Used: kN = 103 N Given: F1 = 12kN c = 5 F2 = 10kN d = 12...
A mixture containing 65.0 mole% acetone (Ac) and the balance acetic acid (AA) is separated in a continuous distillation column at 1 atm. A flowchart for the operation is as follows: The overhead...
A truncated solid cone is of circular cross section, and its diameter is related to the axial coordinate by an expression of the form D = ax 3/2 , where a = 1.0 m- 1/2 . The sides are well insulated,...
The compound beam is fixed supported at A and supported by rockers at B and C. If there are hinges (pins) at D and E, determine the reactions at the supports A, B, and C. Units Used: kN = 103 N...
Parallel-disk viscometer (Fig. 3B.5), a fluid, whose viscosity is to be measured, is placed in the gap of thickness B between the two disks of radius R. One measures the torque T z required to turn...
Determine indices for the directions shown in the following hexagonal unit cells: (b) (a) (d) (c)
A chemical reaction A ? B is carried out in a closed vessel. The following data are taken for the concentration of A, CA (g/L), are a function of time, t (min, form the start of the reaction: A...
A load of lumber weighing ng W = 25 kN is being raised by a mobile crane. The weight of the boom ABC and the combined weight of the truck and driver are as shown. Determine the reaction at each of...
The engine hoist is used to support the 200-kg engine. Determine the force acting in the hydraulic cylinder AB, the horizontal and vertical components of force at the pin C, and the reactions at the...
Following is a labeled flowchart for a steady-state two-unit process with boundaries shown to denote subsystems about which balances can be taken. State the maximum number of balances that can be...
A fluid of unknown density is used in two manometers-one sealed-end, the other across an orifice in a water pipeline. The readings shown here are obtained on a day when barometric pressure is 756mm...
A nuclear fuel element of thickness 2L is covered with a steel cladding of thickness b. Heat generated within the nuclear fuel at a rate q is removed by a fluid at T , which adjoins one surface and...
Determine Vo and ID for the networks for Fig. 2.155. 15 V ID Si +20 V Vo Si Si 0 Si Vo 4.7 k 2.2 k -5 V
The wall of a drying oven is constructed by sandwiching an insulation material of thermal conductivity k = 0.05 W/m K between thin metal sheets. The oven air is at T ,i = 300C, and the corresponding...
Flow in a slit with uniform cross flow (Fig. 3B.16). A fluid flows in the positive x-direction through a long flat duct of length L, width W, and thickness B, where L > > W >> B. The duct has porous...
Liquid extraction is an operation used to separate the components of a liquid mixture of two or more species. In the simplest case, the mixture contains two components: a solute (A) and a Liquid...
The energy transferred from the anterior chamber of the eye through the cornea varies considerably depending on whether a contact lens is worn. Treat the eye as a spherical system and assume the...
Circulating axial flow in an annulus (Fig. 3B.6), a rod of radius KR moves upward with a constant velocity v 0 through a cylindrical container of inner radius R containing a Newtonian liquid, the...
Turbine blades mounted to a rotating disc in a gas turbine engine are exposed to a gas stream that is at T = 1200C and maintains a convection coefficient of h = 250 W/m2 K over the blade. The...
The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section having diameter D = ax , where a = 0.5 m . The small end is located at X 1 = 25 mm and the large...
Forced-convection heat transfer in flow between parallel plates (Fig. 10B.7), a viscous fluid with temperature-independent physical properties is in fully developed laminar flow between two flat...
For a cycle, is the net work necessarily zero? For what kind of systems will this be the case?
The distillation column shown in the drawing is used to distill a binary mixture. Symbols x, y, and z denote mole fractions of the more volatile component, while B, D, R, and F represent molar flow...
The shelf supports the electric motor which has mass m 1 and mass center at Gm. The platform upon which it rests has mass m 2 and mass center at Gp. Assuming that a single bolt B holds the shelf up...
The defroster of an automobile functions by discharging warm air on the inner surface of the windshield. To prevent condensation of water vapor on the surface, the temperature of the air and the...
The concrete "gravity" dam is held in place by its own weight. If the density of concrete is c and water has a density w, determine the smallest dimension d that will prevent the dam from overturning...
The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of ASTM...
Using the SRK equation of state (or any other cubic equation of state) to determine a specific volume from a specified temperature and pressure requires a trial-and-error calculation. Three computer-...
A mixture of chloroform (CHC13) and acetic acid at 18oC and 1 atm (101.3 kPa) is to be extracted with water to recover the acid.(a) Forty-five kilograms of a mixture containing 35 wt% CHC13 and 65...
Heat conduction in a nuclear fuel rod assembly (Fig. 10B.3) considers a long cylindrical nuclear fuel rod, surrounded by an annular layer of aluminum cladding. Within the fuel rod heat is produced by...
A waste treatment pond is 50m long and 15m wide, and has an average depth of 2m. The density of the waste is 85.3lb m /ft 3 . Calculate the weight of the pond contents in lbf, using a single...
As shown in Fig.P1.46, an inclined manometer is used to measure the pressure of the gas within the reservoir. (a) Using data on the figure, determine the gas pressure, in lbf/in.2 (b) Express the...
Bearing reactions R1 and R2 are exerted on the shaft shown in the figure, which rotates at 1150 rev/min and supports a 10-kip bending force. Use a 1095 HR steel. Specify a diameter d using a design...
Determine the moment of the force FC about the door hinge at A. Express the result as a Cartesian vector. Given: F = 250 N b = 1 m c = 2.5 m d = 1.5 m e = 0.5 m θ = 30 deg Fe 30
Two tanks are connected together in the following unusual way in Figure. (a) Develop a model for this system that can be used to find h1, h2, w2, and w3 as functions of time for any given variations...
An adult takes about 12 breaths per minute inhaling roughly 500mL of air with each breath. The molar compositions of the inspired and expired gases are as follows: The inspired gas is at 24?C and 1...
For the frame and loading shown, determine the components of all forces acting on member ABE. 6 kips 4.8 ft B. 2.4 ft 3,6 ft +3.6 ft -3.61- 1.2 ft
Ethane is chlorinated in a continuous reactor: C 2 H 6 C1 2 C 2 H 5 Cl + HCI some of the product monochloroethane is further chlorinated in an undesired side reaction: C 2 H 5 Cl + Cl 2 C 2 H 4 C1 2...
Liquid benzene and liquid n-hexane are blended to form a stream flowing at a rate of 700lbm/h. An on-line densitometer (an instrument used to determine density) indicates that the stream has a...
Uniform internal heat generation at q = 5 X 107 W/m3 is occurring in a cylindrical nuclear reactor fuel rod of 50-mm diameter, and under steady-state conditions the temperature distribution is of the...
A liquid stream consisting of 12.5 mole% n-butane and the balance a heavy nonvolatile hydrocarbon is fed to the top of a stripping column, where it is contacted with an upward-flowing stream of...
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150-mm pitch diameter. The force...
The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F1 = 2500 lbf and F2 = 1000...
A series of solutions containing NaOH, Na2CO3, and NaHCO3, alone or in compatible combination, was titrated with 0.1202 M HCl. Tabulated below are the volumes of acid needed to titrate 25.00-mL...
A steady-state, finite-difference analysis has been performed on a cylindrical fin with a diameter of 12 mm and a thermal conductivity of 15 W/m K. The convection process is characterized by a fluid...
Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if these members are in tension or...
Water flows through a Venturi meter, as shown in Fig.P1.36. The pressure of the water in the pipe supports columns of water that differ in height by 10. Determine the difference between points a and...
The symmetric concrete gravity dam is held in place by its own weight. If the density of concrete is c and water has a density w, determine the smallest distance d at its base that will prevent the...
A tank in a room at 19C is initially open to the atmosphere on a day when the barometric pressure is 102 kPa. A block of dry ice (solid CO2) with a mass of 15.7 kg is dropped into the tank, which is...
The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm from the top of the tank. Since it is impossible to see inside the tank, and open-end manometer...
Determine the force created in the hydraulic cylinders EF and AD in order to hold the shovel in equilibrium. The shovel load has a mass W and a center of gravity at G. All joints are pin connected....
Calculate (a) The weight in lbf of a 25.0-lbm object. (b) The mass in kg of an object that weighs 25 Newtons. (c) The weight in dynes of a 10-ton object (not metric tons)
The rotating shaft shown in the figure is machined from AISI 1020 CD steel. It is subjected to a force of F = 6 kN. Find the minimum factor of safety for fatigue based on infinite life. If the life...
Determine the horizontal and vertical components of force at pin B and the normal force the pin at C exerts on the smooth slot. Also, determine the moment and horizontal and vertical reactions of...
The three stone blocks have weights WA, WB, and WC. Determine the smallest horizontal force P that must be applied to block C in order to move this block. The coefficient of static friction between...
Draw the free-body diagram of the jib crane AB, which is pin-connected at A and supported by member (link) BC. Units Used: kN = 103 N Given: F = 8kN a = 3 m b = 4 m c = 0.4 m d = 3 e = 4 AU
A thin-walled double-pipe counter-flow heat exchanger is used to cool oil (cp = 2.20 kJ/kg ¢ °C) from 150 to 40°C at a rate of 2 kg/s by water (cp = 4.18 kJ/kg ¢ °C) that enters...
Determine the resultant forces at pins B and C on member ABC of the four-member frame. Given: w = 150 lb/ft a = 5 ft b = 2 ft c = 2 ft e = 4 ft d = a + b c
Experiments have shown that, for airflow at T = 35C and V1 = 100 m/s, the rate of heat transfer from a turbine blade of characteristic length L1 = 0.15 m and surface temperature Ts, 1 = 300C is q1 =...
Air at 300C and 130 kPa flows through a horizontal 7-cm ID pipe at a velocity of 42.0m/s (a) Calculate E k (W), assuming ideal gas behavior. (b) If the air is heated to 400C at constant pressure,...
Laminar flow in a square duct (a) A straight duct extends in the z direction for a length L and has a square cross section, bordered by the lines x = B and y = B. A colleague has told you that the...
Derive Laplace transforms of the input signals shown in Figs. a and b, by summing component functions found in Table3.1. t (min) Slope a ft) 31, 215 2.
A plane layer of coal of thickness L = 1 m experiences uniform volumetric generation at a rate of q = 20 W/m3 due to slow oxidation of the coal particles. Averaged over a daily period, the top...
The vapor leaving the top of a distillation column goes to a condenser in which either total or partial condensation takes place. If a total condenser is used, a portion of the condensate is returned...
An adiabatic membrane separation unit is used to dry (remove water vapor from) a gas mixture containing 10.0 mole% H2O (v), 10.0 mole% CO. and the balance CO2. The gas enters the unit at 30C and...
A 10.0-m3 tank contains steam at 275C and 15.0bar. The tank and its contents are cooled until the pressure drops to 1.2bar. Some of the steam condenses in the process. (a) How much heat was...
Flow of a film on the outside of a circular tube (see Fig. 2B.6), in a gas absorption experiment a viscous fluid flows upward through a small circular tube and then downward in laminar flow on the...
The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: Both (?/pD) and (d p up/?) are dimensionless groups; kg is a...
A 0.4723-g sample of primary-standard-grade Na2CO3 required 34.78 mL of an H2SO4 solution to reach the end point in the reaction
A firefighter's protective clothing, referred to as a turnout coat, is typically constructed as an ensemble of three layers separated by air gaps, as shown schematically. Representative dimensions...
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....
Two forces are applied as shown to a hook support. Using trigonometry and knowing that the magnitude of P is 600 N, determine (a) The required angle α if the resultant R of the two...