The structure is subjected to the loadings shown. Member AB is supported by a ball-and-socket at A and smooth collar at B. Member CD is supported by a pin at C. Determine the x, y, z components of...
Write a computer program to fit a straight line y = ax + b to tabulated (x, y) data, assuming that no more than 100 data points will be taken in any one run. Your program should read in and store the...
A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and B equal to, respectively, (a) 12 a i6j+9k and 3i+9j7.5k, (b) 14i2j+8k and 3i+1.5jk
Determine by direct integration the location of the centroid of the volume between the xz plane and the portion shown of the surface 16 ( - ) (bz - 2?) a-b? y =
The flywheel of a small punching machine rotates at 360 rpm. Each punching operation requires 2034 J of work and it is desired that the speed of the flywheel after each punching be not less that 95...
It has been suggested that Atlanta?Fulton County Stadium earned the nickname ?The Launching Pad? because baseballs carried farther than normal in the region?s hot, humid atmosphere. With this...
A long roll of 2-m-wide and 0.5-cm-thick 1-Mn manganese steel plate (Æ¿ = 7854 kg/m3 and cp = 0.434 kJ/kg·°C) coming off a furnace at 820°C is to be quenched in an oil...
(a) Would you need NaOH or HCl to bring the pH of 0.050 0 M HEPES (Table 8-2) to 7.45? (b) Describe how to prepare 0.250 L of 0.050 0 M HEPES, pH 7.45.
Estimate the safe static load F for the weldment shown in the figure if an E6010 electrode is used and the design factor is to be 2. Use conventional analysis. br> 4 in 6 in in 8 in in
A well-sealed room contains 60 kg of air at 200 kPa and 25C. Now solar energy enters the room at an average rate of 0.8 kJ/s while a 120-W fan is turned on to circulate the air in the room. If heat...
The objective of this problem is to develop thermal models for estimating the steady-state temperature and the transient temperature history of the electrical transformer shown below. The external...
In the test section of a supersonic wind tunnel, a Pitot tube in the flow reads a pressure of 1.13 atm. A static pressure measurement (from a pressure tap on the sidewall of the test section) yields...
Helium gas at 25C and 4 bars is contained in a glass cylinder of 100-mm inside diameter and 5-mm thickness. What is the rate of mass loss per unit length of the cylinder?
A parallel RLC circuit contains a resistor R = 1 and an inductor L = 2H. Select the value of the capacitor so that the circuit is critically damped.
Gate ABC in Fig. P2.79 is 1-msquare and hinged at B. It opens automatically when the water level is high enough. Neglecting atmospheric pressure, determine the lowest level h for which the gate will...
Complete this table for H2O TCP kPa h, kJ/kg x Phase description 200 0.7 140 1800 0.0 950 80 500 800 3162.2
During a picnic on a hot summer day, all the cold drinks disappeared quickly, and the only available drinks were those at the ambient temperature of 75F. In an effort to cool a 12-fluid-oz drink in a...
An insulated rigid tank is divided into two compartments by a partition. One compartment contains 2.5 kmol of CO2 at 27°C and 200 kPa, and the other compartment contains 7.5 kmol of H2 gas at...
A long bar of rectangular cross section, 0.4 m x 0.6 m on a side and having a thermal conductivity of 1.5 W/m K is subjected to the boundary conditions shown below. Two of the sides are maintained...
An electronic circuit board dissipating 50 W is sandwiched between two ducted, forced-air-cooled heat sinks. The sinks are 150 mm in length and have 24 rectangular passages 6 mm by 25 mm. Atmospheric...
For the beam and loading shown, determine (a) The magnitude and location of the resultant of the distributed load, (b) The reactions at the beam supports. Farabola Vertex 1200 N/m 300 N/m AA -6 m
Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis. y =-mx y =mx. y=-kr y= kr3
Phosgene (COCl 2 ) is formed by CO and Cl 2 reacting in the presence of activated charcoal: CO + Cl 2 ? COCl 2? At T = 303.8 K the rate of formation of phosgene in the presence of 1 gram of charcoal...
In a cylindrical fuel rod of a nuclear reactor, heat is generated internally according to the equation where qg = local rate of heat generation per unit volume at rro = outside radiusq1 = rate of...
A plate 4 in wide, 8 in long, and 0.5 in thick is loaded in tension in the direction of the length. The plate contains a crack as shown in Fig. 526 with the crack length of 0.625 in. The material is...
Cold water at 10°C enters a water heater at the rate of 0.02 m3/min and leaves the water heater at 50°C. The water heater receives heat from a heat pump that receives heat from a heat source...
Two formulas for the heat capacity of CO are given here: Cp [cal/(mol C)] = 6.890 + 0.001436T (C) Cp (Btu/(lb-moleF)] = 6.864 + 0.0007978T (F) Starting with the first formula, derive the second....
At least 25 g of tetrahydrocannabinol (THC), the active ingredient in marijuana, is required to produce intoxication. The molecular formula of THC is C21H30O2. How many moles of THC does this 25 g...
Link 2, shown in the figure, is 1 in wide, has 1 2 -in-diameter bearings at the ends, and is cut from low-carbon steel bar stock having a minimum yield strength of 24 kpsi. The end-condition...
Air enters a heating section at 95 kPa, 12C, and 30 percent relative humidity at a rate of 6 m3/min and it leaves at 25C. Determine (a) The rate of heat transfer in the heating section and (b) The...
Express each force in Cartesian vector form. Units Used: kN = 103 N Given: F1 = 5kN F2 = 2kN θ1 = 60 deg θ2 = 60 deg θ3 = 45 deg F1
A rod is bent into a circular arc of radius 4 in. as shown. For the given loading, determine (a) The location at which the value of the bending moment is maximum, (b) The internal forces at that...
In a particular application it is desirable to minimize the effects of the thermal contact resistance between two plane mating surfaces as shown in part (a) Of the schematic. An engineer suggests...
Block C has a mass of 50 kg and is confined between two walls by smooth rollers. If the block rests on top of the 40-kg spool, determine the required coefficients of static friction at A and B so...
Chlorine gas is to be heated from 100C and 1 atm to 200C. (a) Calculate the heat input (kW) required to heat a stream of the gas flowing at 5.0 k mol/s at constant pressure. (b) Calculate the heat...
The angle between the spring AC and the post DA is 30°. Knowing that the x component of the force exerted by spring AC on the plate is 180 N, determine (a) The tension in spring AC, (b) The...
A chemical reaction with stoichiometry A ? products is said to follow an n th -order rare law if A is consumed at a rate proportional to the nth power of its concentration in the reaction mixture. If...
To enhance heat rejection from a spacecraft, an engineer proposes to attach an array of rectangular fins to the outer surface of the spacecraft and to coat all surfaces with a material that...
One ton of liquid water at 80°C is brought into a well-insulated and well-sealed 4-m x 5-m x 7-m room initially at 22°C and 100 kPa. Assuming constant specific heats for both air and water at...
Determine the magnitude and coordinate direction angles of the resultant force. Given: F1 = 350 N α = 60 deg F2 = 250N β = 60 deg c = 3 γ = 45 deg d = 4 θ = 30 deg F2
The four-member "A" frame is supported at A and E by smooth collars and at G by a pin. All the other joints are ball-and-sockets. If the pin at G will fail when the resultant force there is Fmax,...
In the engine system shown, l = 8 in. and b = 3 in. Knowing that the crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of piston P and the angular...
Two liquid storage systems are shown in figure. Each tank is 4 feet in diameter. For System 1, the valve acts as a linear resistance with the flow?head relation q = 8.33 h, where q is in gallium and...
Methyl isocyanate, CH3NCO, was made infamous in 1984 when an accidental leakage of this compound from a storage tank in Bhopal, India, resulted in the deaths of about 3,800 people and severe and...
Air enters an air-conditioning system that uses refrigerant-134a at 30C and 70 percent relative humidity at a rate of 4 m3/min. The refrigerant enters the cooling section at 700 kPa with a quality of...
Chain AB supports a horizontal, uniform steel beam having a mass per unit length of 85 kg/m. If the maximum tension in the chain is not to exceed 8 kN, determine (a) the horizontal distance a from A...
A device used to measure the surface temperature of an object to within a spatial resolution of approximately 50 nm is shown in the schematic. It consists of an extremely sharp-tipped stylus and an...
Consider a long duct constructed with diffuse, gray walls 1 m wide (a) Determine the net radiation transfer from surface A 1 per unit length of the duct. (b) Determine the temperature of the...
The three outer blocks each have a mass of 2 kg, and the central block E has a mass of 3 kg. Determine the sag s for equilibrium of thesystem. 30 1m Mc
Determine the moment of inertia for the beam's cross-sectional area about the y axis. Given: a = 25 mm b = 100 mm c = 25 mm d = 50 mm e = 75 mm
The L-shaped arm BCD rotates about the z axis with a constant angular velocity 1 of 5rad/s, knowing that the 7.5-in.-radius disk rotates about BC with a constant angular velocity 2 of 4 rad/s,...
A mixture of hydrocarbon gases is composed of 60 percent methane, 25 percent propane, and 15 percent butane by weight. This mixture is compressed from 100 kPa and 20oC to 1000 kPa in a reversible,...
Two steel tubes are shrink-fitted together where the nominal diameters are 1.50, 1.75, and 2.00 in. Careful measurement before fitting revealed that the diametral interference between the tubes to be...
Assuming a transition Reynolds number of 5 x 105, determine the distance from the leading edge of a flat plate at which transition will occur for each of the following fluids when u; = 1 m/s:...
A fuel gas containing 85.0 mole% methane and the balance ethane is burned completely with pure oxygen at 25C and the products are brought back down to 25C. (a) Suppose the reactor is continuous. Take...
Quantization error in A/D conversion of a sinusoidal signal ? Let x q (n) be the signal obtained by quantizing the signals x(n) = sin 2? f 0 n.? The quantization error power P q is defined by The...
Choose an Oiles SP 500 alloy brass bushing to give a maximum wear of 0.002 in for 1000 h of use with a 400 rev/min journal and 100 lbf radial load. Use hCR = 2.7 Btu/ (h. ft2. F), Tmax = 300F, fs =...
Air at 3 atm and 100C is discharged from a compressor into a vertical receiver of 2.5-m height and 0.75-m diameter. Assume that the receiver wall has negligible thermal resistance is at a uniform...
Benzene (B) and chlorobenzene (C) are being separated in a distillation column. Vapor and liquid streams, each containing both species, are fed to one of the trays of the column, and liquid and vapor...
For flow over a flat plate with an extremely rough surface, convection heat transfer effects are known to be correlated by the expression of Problem 6.21. For airflow at 50 m/s, what is the surface...
The winch cable on a tow truck is subjected to a force of T = 6 kN when the cable is directed at ? = 60 o . Determine the magnitudes of the total brake frictional force F for the rear set of wheels B...
A company is considering making automobile bumpers from aluminum instead of from steel. List some of the factors it would have to consider in arriving at its decision. Many companies are critically...
A spherical shell of inner and outer radii r i and r 0 , respectively, is filled with a heat-generating material that provides for a uniform volumetric generation rate (W/m 3 ) of q. The outer...
The refrigerator has a weight of 180 lb and rests on a tile floor for which ? s = 0.25.Also, the man has a weight of 150 lb and the coefficient of static friction between the floor and his shoes is ?...
A water-cooling tower for a power plant cools 45C liquid water by evaporation. The tower receives air at 19.5C, 30%, 100 kPa that is blown through/over...
The angle between the spring AB and the post DA is 30°. Knowing that the tension in the spring is 220 N, determine (a) The x, y, and z components of the force exerted by this spring on the plate,...
To open an in-ground water valve, two workers apply the two horizontal forces shown to the handle of a valve wrench. Show that these forces are equivalent to a single force and specify, if possible,...
To form a nonsymmetrical girder, two L3 Ã 3 Ã ¼-in. angles and two L6 Ã 4 Ã ½-in. angles are welded to a 0.8-in. steel plate as shown. Determine the moments...
A system has been devised to store acetonitrile safely at high pressures and temperatures. The acetonitrile is contained in a 0.2-ft3 tank maintained at 4500psia and 550F. This tank is placed inside...
The vapor pressure of an organic solvent is 50 mm Hg at 25C and 200 mm Hg at 45 C. The solvent is the only species in a closed flask at 35C and is present in both liquid and vapor states. The volume...
A counter flow, concentric tube heat exchanger is designed to heat water from 20 to 80C using hot oil, which is supplied to the annuls at 160C and discharged at 140C. The thin-walled inner tube has a...
Sulfide ion was determined by indirect titration with EDTA. To a solution containing 25.00 mL of 0.04332 M Cu(ClO4)2 plus 15 mL of 1M acetate buffer (pH 4.5) were added 25.00 mL of unknown sulfide...
A very thick plate with thermal diffusivity 5.6 x 10-6 m2/s and thermal conductivity 20 W/m K is initially at a uniform temperature of 325C. Suddenly, the surface is exposed to a coolant at 15C for...
Determine the optimal-stage location for each feed and the number of theoretical stages required for the distillation separation shown in Figure 7.42 using the following equilibrium data in mole...
A rotary lawn-mower blade rotates at 3000 rev/min. The steel blade has a uniform cross section 1/8 in thick by 1 ¼ in wide, and has a ½ -in-diameter hole in the center as shown in the...
Determine the magnitudes of F1 and F2 so that the particle is in equilibrium. Given: F = 500 N θ1 = 45 deg θ2 = 30deg 2
From the standard conditions given in Table 5.2-1, calculate the value of the gas constant R in (a) Atmm3 / (k mol K) and (b) Torrft3 / (lb-mole R).
Ammonia is one of the chemical constituents of industrial waste that must be removed in a treatment plant before the waste can safely be discharged into a river or estuary. Ammonia is normally...
The compression ratio of an air-standard Otto cycle is 9.5. Prior to the isentropic compression process, the air is at 100 kPa, 35C, and 600 cm3. The temperature at the end of the isentropic...
Assuming the upward reaction of the ground on beam AB to be uniformly distributed, (a) Draw the shear and bending-moment diagrams, (b) Determine the maximum absolute values of the shear and bending...
A variable, Q, is reported to have a value of 2.360 x 10 -4 kg m 2 /h. (a) Write a dimensional equation for Q', the equivalent variable value expressed in American engineering units, using seconds...
A single-pass, cross-flow heat exchanger with both fluids unmixed is being used to heat water (m c = 2 kg/s. c p = 4200 J/kg K) from 20C to 100C with hot exhaust gases (c p = 1200 J/kg K) entering...
A helical compression spring is wound using 0.105-in-diameter music wire. The spring has an outside diameter of 1.225 in with plain ground ends, and 12 total coils. (a) What should the free length be...
If a force of magnitude P is applied perpendicular to the handle of the mechanism, determine the magnitude of force F for equilibrium. The members are pin-connected at A, B, C, and D. Given: P = 6 lb...
The elemental unit of an air heater consists of a long circular rod of diameter D, which is encapsulated by a finned sleeve and in which thermal energy is generated by Ohmic heating. The N fins of...
Nitric oxide (NO) emissions from automobile exhaust can be reduced by using a catalytic converter, and the following reaction occurs at the catalytic surface: NO + CO N 2 + CO 2 . The concentration...
Here is a student procedure to measure nicotine in urine. A 1.00-mL sample of biological fluid was placed in a 12-mL vial containing 0.7 g Na2CO3 powder. After 5.00 g of the internal standard...
A sealed rigid vessel has volume of 1 m3 and contains 2 kg of water at 100C. The vessel is now heated. If a safety pressure valve is installed, at what pressure should the valve be set to...
Determine the components of the reactions at A and E when a 24- lb force directed vertically downward is applied (a) At B, (b) At D 2 in. 6 in. 2 in. R. 3 in. D. E. I in. 2 in.
Without bracing, a machinist can exert only about 100 lbf on a wrench or tool handle. The lever shown in the figure has t = ½ in and w = 2 in. We wish to specify the fillet-weld size to secure...
From elementary physics, we know that when an object is subjected to a constant acceleration a, the relationship between distance d and time t is given by d = at2. Suppose that, during a seek, the...
What fraction of vertical bars in Figure 4-5a is expected to include the population mean (10 000) if many experiments are carried out? Why are the 90% confidence interval bars longer than the 50%...
Steam enters an adiabatic nozzle at 3.5 MPa and 300C with a low velocity and leaves at 1.6 MPa and 250C at a rate of 0.4 kg/s. If the ambient state is 100 kPa and 18C, determine (a) the exit...
A cylinder-shaped carbon resistor is 8 cm in length and its circular cross section has a diameter d 1 mm. (a) Determine the resistance R. (b) To reduce its resistance by 40%, the carbon resistor is...
The sheet metal form shown moves in the xy plane. Knowing that (vA)x = 100mm/s, (vB)y = ??75mm/s, and (vC)x = 400mm/s, determine (a) The angular velocity of the plate, (b) The velocity of point A....
The coefficient of static friction between the shoes at A and B of the tongs and the pallet is s1 and between the pallet and the floor s2. If a horizontal towing force P is applied to the tongs,...
The shaft shown in the figure carries a 18-lbf gear on the left and a 32-lbf gear on the right. Estimate the first critical speed due to the loads, the shafts critical speed without the loads, and...
The power transmission cable has a weight per unit length of 15lb/ft. If the lowest point of the cable must be at least 90 ft above the ground, determine the maximum tension developed in the cable...
A simply supported beam loaded by two forces is shown in the figure. Select a pair of structural steel channels mounted back to back to support the loads in such a way that the deflection at midspan...
The unstretched length of spring AB is δ. If the block is held in the equilibrium position shown, determine the mass of the block at D. Given: δ = 2 m a = 3 m b = 3 m c = 4 m kAB = 30 N/m...