Determine the distance y to the centroid of the beam?s cross-sectional area; then determine the moment of inertia about the x axis. 25 mm 25 mm 100 mm 25 mm To -75 mm- -75 mm- Ko mm 150 mm 100 mm 23...

A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle with the horizontal. Determine (a) The distance d to the farthest point B on the roof that the water can reach, (b) The...

A submerged arc welding operation takes place on 10 mm thick stainless steel plate, producing a butt weld as shown in Fig. 12.20c. The weld geometry can be approximated as a trapezoid with 15 mm and...

Air (cp = 1.005 kJ/kg ¢ °C) is to be preheated by hot exhaust gases in a cross-flow heat exchanger before it enters the furnace. Air enters the heat exchanger at 95 kPa and 20°C at a...

The cab and motor units of the front-end loader shown are connected by a vertical pin located 60 in. behind the cab wheels. The distance from C to D is 30 in. The center of gravity of the 50-kip...

An equimolar mixture of ethane, propane, n-butane, and n-pentane is subjected to a flash vaporization at 150?F and 205 psia. What are the expected amounts and compositions of the liquid and vapor...

Determine the moments of inertia I x and I y of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 24 mm 100 mm 36 mm 18 mm 40 mm 42 mm

Two identical billiard balls can move freely on a horizontal table. Ball A has a velocity v0 as shown and hits ball B, which is at rest, at a point C defined by = 45?. Knowing that the coefficient...

An oxygen tank with a volume of 2.5 ft3 is kept in a room at 50F. An engineer has used the ideal gas equation of state to determine that if the tank is first evacuated and then charged with 35.3lbm...

The cone has a weight W and center of gravity at G. If a horizontal force P is gradually applied to the string attached to its vertex, determine the maximum coefficient of static friction for...

The figure shows a crank loaded by a force F = 190 lbf which causes twisting and bending of the ¾ -in-diameter shaft fixed to a support at the origin of the reference system. In actuality, the...

In modeling the effect of an impurity on crystal growth, the following equation was derived: where C is impurity concentration, G L is a limiting growth rate, G 0 is the growth rate of the crystal...

The beam consists of two segments pin connected at B. Draw the shear and moment diagrams for thebeam. 700 Ib 150 lb/ft 800 Ib - ft IB -8 ft- -6 ft-

Determine the resultant moment of the two forces about the Oa axis. Express the result as a Cartesian vector. Given: F1 = 80 lb F2 = 50 lb α = 120 deg β = 60 deg γ = 45 deg a = 5 ft...

The latest weather report includes the following statement: The temperature is 78F, barometric pressure is 29.9 inches, and the relative humidity is 87%. From this information, estimate the mole...

Two surge tanks are used to dampen pressure fluctuations caused by erratic operations of a large air compressor. (See Figure) (a) If the discharge pressure of the compressor is Pd(t) and the...

In a Rankine power system, 1.5 kg/s of steam leaves the turbine as saturated vapor at 0.51 bar. The steam is condensed to saturated liquid by passing it over the tubes of a shell-and-tube heat...

A 25-g block of iron at 175C is dropped into a liter of water in an insulated flask at 20C and 1 atm. The specific enthalpy of iron is given by the expression H (J/g) = 17.3T (C). (a) What reference...

The steady-state temperature distribution in a semitransparent material of thermal conductivity k and thickness L exposed to laser irradiation is of the form Where A, a, B, and C are known constants....

A copper-nickel diffusion couple similar to that shown in Figure 5.1a is fashioned. After a 700-h heat treatment at 1100?C (1373 K) the concentration of Cu is 2.5 wt% at the 3.0-mm position within...

A balloon initially contains 65 m3 of helium gas at atmospheric conditions of 100 kPa and 22°C. The balloon is connected by a valve to a large reservoir that supplies helium gas at 150 kPa and...

A well-insulated rigid tank contains 2 kg of a saturated liquidvapor mixture of water at 100 kPa. Initially, three-quarters of the mass is in the liquid phase. An electric resistance heater placed in...

A bonding operation utilizes a laser to provide a constant heat flux, q"0, across the top surface of a thin adhesive-backed, plastic film to be affixed to a metal strip as shown in the sketch. The...

A laser-materials-processing apparatus encloses a sample in the form of a disk of diameter D = 25 mm and thickness w = 1 mm. The sample has a diffuse surface for which the spectral distribution of...

An object of irregular shape has a characteristic length of L = 1 m and is maintained at a uniform surface temperature of Ts = 325 K. It is suspended in an airstream that is at atmospheric pressure...

Consider a two-stage cascade refrigeration system operating between the pressure limits of 1.2 MPa and 200 kPa with refrigerant-134a as the working fluid. Heat rejection from the lower cycle to the...

An AISI 1020 cold-drawn steel shaft with the geometry shown in the figure carries a transverse load of 7 kN and a torque of 107 N m. Examine the shaft for strength and deflection. If the largest...

Force F acts perpendicular to the inclined plane. Determine the moment produced by F about point B. Express the result as a Cartesianvector. F= 400 N B. 4 m

The Achilles tendon force Ft is mobilized when the man tries to stand on his toes. As this is done, each of his feet is subjected to a reactive force of Nt = 400 N. If the resultant moment produced...

Consider a Carnot refrigeration cycle executed in a closed system in the saturated liquidvapor mixture region using 0.8 kg of refrigerant-134a as the working fluid. The maximum and the minimum...

Chlorobenzene (C 6 H 5 C1), an important solvent and intermediate in the production of many other chemicals, is produced by bubbling chlorine gas through liquid benzene in the presence of ferric...

A rectangular plate is supported by three cables as shown. Knowing that the tension in cable AD is 120 lb, determine the weight of the plate. 36 imemsioos in mehes

The measured volumetric flow rate of ethane at 10.0 atm absolute and 35C is 1.00 x 10 3 L/h. Using an estimated value of the second virial coefficient in the truncated virial equation (Equation...

Determine the force in members BG, HG, and BC of the truss and state if the members are in tension or compression. Units Used: kN = 103 N Given: F1 = 6kN F2 = 7kN F3 = 4kN a = 3 m b = 3 m c = 4.5 m ...

Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects member BC, measured from C. Units Used: kN = 103N Given: w1 = 200N/m w2 = 100N/m w3 =...

Five liters of liquid n-hexane and 4 liters of liquid n-heptanes are mixed and burned with 4000 gram- moles of air. Not all of the hydrocarbons are burned in the furnace, and both CO and CO 2 are...

Determine the magnitude and direction measured counterclockwise from the positive x axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and ? = 20?. 600 N 400 N 30

A turbine operates adiabatically with superheated steam entering at T1 and P1 with a mass flow rate m. The exhaust pressure is P2 and the turbine efficiency is . For OIK of the following sets of...

Locate the center of gravity G(xc, yc) of the streetlight. Neglect the thickness of each segment. The mass per unit length of each segment is given. Given: a = 1 m = AB 12kg/m b = 3 m = BC 8kg/m c...

A shaft is to be designed to support the spur pinion and helical gear shown in the figure on two bearings spaced 700 mm center-to-center. Bearing A is a cylindrical roller and is to take only radial...

The schematic of a single-flash geothermal power plant with state numbers is given in Fig. P1026, geothermal resource exists as saturated liquid at 230°C. The geothermal liquid is withdrawn from...

Consider the following program: Boolean blocked [2]; Int turn; Void P (int id) { While (true) { Blocked [id] = true; While (turn! = id) { While (blocked [1-id]) /* do nothing */; Turn = id; } /*...

A 4-lb collar can slide without friction along a horizontal rod and is released from rest at A. The undeformed lengths of springs BA and CA are 10 in. and 9 in., respectively, and the constant of...

In the preliminary design of a furnace for industrial boiler, methane at 25?C is burned completely with 20% excess air, also at 25?C. The feed rate of methane is 450k mol/h. The hot combustion gases...

Consider a memory system with the following parameters: Tc = 100 ns Cc = 0.01 cents/bit Tm = 1200 ns Cm = 0.001 cents/bit a. What is the cost of 1 MByte of main memory? b. What is the cost of 1 MByte...

Atmospheric air is in parallel flow (u = 15 m/s, T = 15C) over a flat heater surface that is to be maintained at a temperature of 140C. The heater surface area is 0.25 m2, and the airflow is known to...

Calamine, which is used for relief of skin irritations, is a mixture of zinc and iron oxides. A 1.056-g sample of dried calamine was dissolved in acid and diluted to 250.0 mL. Potassium fluoride was...

A specimen 750 mm (30 in.) long of an S-590 alloy (Figure) is to be exposed to a tensile stress of 80MPa (11,600psi) at 815?C (1500?F). Determine its elongation after 5000 h. Assume that the total of...

A stripper operating at 50 psia with three equilibrium stages is used to strip 1,000 kmol/h of liquid at 300F having the following molar composition: 0.03% C1, 0.22% C2, 1.82% C3, 4.47% nC4, 8.59%...

A 0.2-lb model rocket is launched vertically from rest at time t = 0 with a constant thrust of 2 lb for one second and no thrust for t > 1 s. Neglecting air resistance and the decrease in mass of the...

Determine the magnitude of the projected component of force FAC acting along the zaxis. Fae - 600 Ib 36 FAR- 700 Ib 18 ri 12 fi 12n, 12

Determine the greatest force P that can be applied to the frame if the largest force resultant acting at A can have a magnitude Fmax. Units Used: kN = 103 N Given: Fmax = 2 kN a = 0.75 m b = 0.75 m c...

Consider the flow over a 22.2 half-angle wedge. If M1 = 2.5, p1 = 1atm, and T1 = 300 K, calculate the wave angle and p2, T2, and M2.

Consider the data for the NACA 2412 airfoil given in Fig. 4.5. Calculate the lift and moment about the quarter chord (per unit span) for this airfoil when the angle of attack is 4 and the free stream...

A 1.475-g sample containing NH4Cl(FM 53.492), K2CO3 (FM 138.21), and inert ingredients was dissolved to give 0.100 L of solution. A 25.0-mL aliquot was acidified and treated with excess sodium...

An annular aluminum fin of rectangular profile is attached to a circular tube having an outside diameter of 25 mm and a surface temperature of 250C. The fin is 1 mm thick and 10 mm long, and the...

As shown in Fig. P2.44, the 6-in-thick exterior wall of a building has an average thermal conductivity of 0.32Btu/h ft oR. At steady state, the temperature of the wall decreases linearly from T1 =...

Electrical heating of a pipe (Fig. 10B.8), in the manufacture of glass-coated steel pipes, it is common practice first to heat the pipe to the melting range of glass and then to contact the hot pipe...

The cables attached to the screw eye are subjected to the three forces shown. Express each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the...

Consider nodal configuration 3 of Table 4.2. Derive the finite-difference equations under steady-state conditions for the following situations. (a) The boundary is insulated. Explain how Equation...

Temperature rise in an electrical wire. (a) A copper wire, 5 mm in diameter and 15 ft long, has a voltage drop of 0.6 volts. Find the maximum temperature in the wire if the ambient air temperature is...

A piston-cylinder device contains 0.02 m3 of hydrogen at 300 K. It has a diameter of 10 cm. The piston (assumed weightless) is pulled by a connecting rod perpendicular to the piston surface. If the...

Determine the magnitudes of F1, F2 and F3 for equilibrium of the particle F = {- 9i - 8j - 5k}. Units Used: kN = 103 N Given: F = (-9 -8 -5) kN a = 4 m b = 2 m c = 4 m θ1 = 30 deg θ2 = 60...

A stadium roof truss is loaded as shown. Determine the force in members BC, BH, and GH. kipa Is kipa 0s kips -12 -11n n -1th- 31.5 A 15.75

A gas mixture consisting of 15.0 mole% methane, 60.0% ethylene, and 25.0% ethane is compressed to a pressure of 175bar at 90C. It flows through a process line in which the velocity should be no...

Lanthanum was reacted with hydrogen in a given experiment to produce the nonstoichiometric compound LaH2.90. Assuming that the compound contains H 2 , La 2+ , and La 3+ , calculate the fraction of La...

Steam enters an insulated pipe at 200 kPa and 200°C and leaves at 150 kPa and 150°C. The inlet-to-outlet diameter ratio for the pipe is D1/D2 =1.80. Determine the inlet and exit velocities of...

In Figure, the logarithm of E r (t) versus the logarithm of time is plotted for polyisobutylene at a variety of temperatures. Make a plot of E r (10) versus temperature and then estimate its T g . 10...

Just upstream of a shock wave, the air temperature and pressure are 288 K and 1atm, respectively; just downstream of the wave, the air temperature and pressure are 690 K and 8.656atm, respectively....

Two couples act on the frame. If the resultant couple moment is to be zero, determine the distance d between the couple forces F1. Given: F1 = 80 lb F2 = 50 lb a = 1 ft b = 3 ft c = 2 ft e = 3 ft f =...

Determine (a) The x, y, and z components of the 900-N force, (b) The angles θx, θy, and θz that the force forms with the coordinate axes. SK)N 1000 N N (O6 70

In a two-dimensional cylindrical configuration the radial (r) and angular () spacing's of the nodes are uniform. The boundary at r = ri is of uniform temperature Ti. The boundaries in the radial...

In the ionic compounds LiF, NaCl, KBr, and RbI, the measured cation-anion distances are 2.01 Ã (Li-F), 2.82 Ã (Na-Cl), 3.30 Ã (K-Br), and 3.67 Ã (Rb-I), respectively. (a)...

The window is held open by cable AB determine the length of the cable and express the force F acting at A along the cable as a Cartesian vector. Given: a = 300 mm b = 500 mm c = 150 mm d = 250 mm...

A uniform slender bar AB of mass m is suspended from two springs as shown. If spring 2 breaks, determine at that instant (a) The angular acceleration of the bar, (b) The acceleration of point A, (c)...

A sedimentation process is to be used to separate pulverized coal from slate. A suspension of finely divided particles of galena (lead sulfide SG = 7.44) in water is prepared. The overall specific...

Replace the three forces acting on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and the point P(x, y) where its line of action intersects the plate....

The specific internal energy of formaldehyde (HCHO) vapor at 1 atm and moderate temperatures is given by the formula U(J/mol) = 25.96T + O.02134T 2 where T is in C. (a) Calculate the specific...

Ethylene oxide is produced by the catalytic oxidation of ethylene: C 2 H 4 (g) + O 2 (g) C 2 H 4 O (g) an undesired competing reaction is the combustion of ethylene to CO 2 . The feed to a reactor...

According to its directional distribution, solar radiation incident on the earth's surface may be divided into two components. The direct component consists of parallel rays incident at a fixed...

Sulfur dioxide and butadienes (B3 and B2) are to be stripped with nitrogen from the liquid stream as shown in Figure so that butadiene sulfone (BS) product will contain less than 0.05 mol% SO2 and...

The section of shaft shown in the figure is to be designed to approximate relative sizes of d = 0.75D and r = D/20 with diameter d conforming to that of standard metric rolling-bearing bore sizes....

Determine the moment of inertia of the semi-ellipsoid with respect to the x axis and express the result in terms of the mass m of the semi-ellipsoid. The material has a constant density . r= y

Following the hot vacuum forming of a paper-pulp mixture, the product, an egg carton, is transported on a conveyor for 18 s toward the entrance of a gas-fired oven where it is dried to a desired...

Exit gas from a chlorinator consists of a mixture of 20 mol% chlorine in air. This concentration is to be reduced to 1% chlorine by water absorption in a packed column to operate isothermally at 20C...

Certain solid substances, known as hydrated compounds, have well-defined molecular ratios of water to some other species, which often is a slat. For example, calcium sulfate dehydrate (commonly known...

The steel plate is 0.3 m thick and has a density of 7850 kg/m3. Determine the location of its center of mass. Also compute the reactions at the pin and rollersupport. y 3 2> 2 m 2 m B. y = -2 m

Wet concrete exerts a pressure distribution along the wall of the form. Determine the resultant force of this distribution and specify the height h where the bracing strut should be placed so that it...

Consider the following balanced chemical equation: A + 5B 3C + 4D a. Equal masses of A and B are reacted. Complete each of the following with either A is the limiting reactant because _____; B is...

To find the Ce4+ content of a solid, 4.37 g were dissolved and treated with excess iodate to precipitate Ce(IO3)4. The precipitate was collected, washed well, dried, and ignited to produce 0.104 g of...

Vapor-liquid equilibrium data for mixtures of water and isopropanol at 1 atm (101.3 kPa, 760 torr) are given below. (a) Prepare T-x-y and x-y diagrams. (b) When a solution containing 40 mol %...

The internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine the force in members BC, BH, and HC, and state if the members are in tension orcompression. H. -2...

Forced air at T = 25C and V = 10 m/s is used to cool electronic elements on a circuit board. One such element is a chip, 4 mm by 4 mm. located 120 mm from the leading edge of the board. Experiments...

Temperature rise in a spherical catalyst pellet (Fig. 11B.11) a catalyst pellet has a radius R and a thermal conductivity k (which may be assumed constant). Because of the chemical reaction occurring...

(a) From the plot of yield strength versus (grain diameter) ?1/2 for a 70 Cu?30 Zn cartridge brass, Figure, determine values for the constants ? 0 and k y in Equation 7.7. (b) Now predict the yield...

The pipe is held in place by the vice. If the bolt exerts force P on the pipe in the direction shown determine the forces FA and FB that the smooth contacts at A and B exert on the pipe. Given: P =...

A Bakelite coating is to be used with a 10-mm-diameter conducting rod, whose surface is maintained at 200C by passage of an electrical current. The rod is in a fluid at 25C, and the convection...

A pistoncylinder device contains 0.85 kg of refrigerant- 134a at 10°C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now,...

The circular door has a weight of 55 lb and a center of gravity at G. Determine the x, y, z components of reaction at the hinge A and the force acting along strut CB needed to hold the door in...

An object of density pa, volume Va, and weight Wa is thrown from a rowboat floating on the surface of a small pond and sinks to the bottom. The weight of the rowboat without the jettisoned object is...