Locate the center of gravity xc of the homogeneous rod. If the rod has a weight per unit length , determine the vertical reaction at A and the x and y components of reaction at the pin B. Given: =...
The 200-mm-radius brake drum is attached to a larger flywheel that is not shown. The total mass moment of inertia of the flywheel and drum is 19 kg ?? m2 and the coefficient of kinetic friction...
Consider the very long, inclined black surfaces (A 1 , A 2 ) maintained at uniform temperatures of T 1 = 1000 K and T 2 = 800 K. Determine the net radiation exchange between the surfaces per unit...
An airplane has a mass of 5000 kg, a maximum thrust of 7000 N, and a rectangular wing with aspect ratio 6.0. It takes off at sea level with a 60 split flap as in Fig. 7.25. Assume all lift and drag...
Calculate the line parameters R`, L` G`, and C` for a coaxial line with an inner conductor diameter of 0.5 cm and an outer conductor diameter of 1 cm, filled with an insulating material where = 0, r...
Consider a cantilever beam that is loaded with a transverse force at its tip. The following materials are being considered: tungsten carbide, high-carbon heat-treated steel, polycarbonate polymer,...
Zinc telluride has a band gap of 2.26 eV. Over what range of wavelengths of visible light is it transparent?
A mixture of ethylene and ethane is to be separated by distillation. Determine the maximum operating pressure of the column. What operating pressure would you suggest? Why?
A standard 4 in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200?F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100?F. In...
For a bolted assembly with six bolts, the stiffness of each bolt is kb = 3 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. An external load of 80 kips is applied to the entire...
The rotor of an electric motor has an angular velocity of 3600 rpm when the load and power are cut off. The 110-lb rotor, which has a centroidal radius of gyration of 9 in., then coasts to rest....
Determine the internal normal force, shear force, and moment acting at point C and at point D, which is coated just to the right of the roller support atB. 300 Ib/f 200 Ib/ft 200 Ib/ft 4 ft 4 ft -4...
The drum for the band brake in Prob. 1611 is 300 mm in diameter. The band selected has a mean coefficient of friction of 0.28 and a width of 80 mm. It can safely support a tension of 7.6 kN. If the...
An ideal Brayton cycle with regeneration has a pressure ratio of 10. Air enters the compressor at 300 K and the turbine at 1200 K. If the effectiveness of the regenerator is 100 percent, determine...
The uniform crate of mass M is suspended by using a cord of length l that is attached to the sides of the crate and passes over the small pulley at O. If the cord can be attached at either points A...
A 200-mm-square, 10-mm-thick tile has the thermo physical properties of pyrex ( = 0.80) and emerges from a curing process at an initial temperature of T i = 140C. The backside of the tile is...
A chain is looped around two gears of radius 2 in. that can rotate freely with respect to the 16-in. arm AB. The chain moves about arm AB in a clockwise direction at the constant rate of 4 in./s...
A helical coil compression spring is needed for food service machinery. The load varies from a minimum of 4 lbf to a maximum of 18 lbf. The spring rate k is to be 9.5 lbf/in. The outside diameter of...
A -in-diameter steel tension rod is 72 in long and carries a load of 2000 lbf. Find the tensile stress, the total deformation, the unit strains, and the change in the rod diameter.
Incompressible steady flow in the inlet between parallel plates in Fig P3.17 is uniform, u = Uo = 8 cm/s, while downstream the flow develops into the parabolic laminar profile u = az (zo − z),...
A 0.12-m3 rigid tank initially contains refrigerant- 134a at 1 MPa and 100 percent quality. The tank is connected by a valve to a supply line that carries refrigerant-134a at 1.2 MPa and 36C. Now the...
Consider Problem 4.5 for the case where the plate is of square cross section, W = L. (a) Derive an expression for the shape factor, Smax associated with the maximum top surface temperature, such that...
Approximately 150SCFM (standard cubic feet per minute) of nitrogen is required by a process facility. As shown in the diagram below, plans call for supplying the facility from a tank of liquid...
Use data in Table B.2 to calculate the following: (a) The heat capacity (Cp) of liquid benzene at 40C. (b) The heat capacity at constant pressure of benzene vapor at 40C. (c) The heat capacity at...
One scheme for extending the operation of gas turbine blades to higher temperatures involves applying a ceramic coating to the surfaces of blades fabricated from a super alloy such as inconel. To...
Water is to be used in a single equilibrium stage to dissolve 1,350 kg/h of Na2CO3 from 3,750 kg/h of a solid, where the balance is an insoluble oxide. If 4,000 kg/h of water is used and the...
Find the current Ix in the 4-ohm resistor in the circuit shown. 12 3 6 4 2A
A homeowner is considering these heating systems for heating his house: Electric resistance heating with $0.09/kWh and 1 kWh = 3600 kJ, gas heating with $1.24/therm and 1 therm = 105,500 kJ, and oil...
Consider the network for a two-dimensional system without internal volumetric generation having nodal temperatures shown below. If the grid space is 125 mm and the thermal conductivity of the...
A 6-lb shell moving with a velocity ?? v0k explodes at point D into three fragments which hit the vertical wall at the points indicated. Fragments A, B, and C hit the wall 0.010 s, 0.018 s, and 0.012...
The angular acceleration of a shaft is defined by the relation = 0.5, where is expressed in rad/s2 and in rad/s. Knowing that at t = 0 the angular velocity of the shaft is 30 rad/s, determine (a)...
A half cylinder of mass m is released from rest in the position shown and swings freely about the horizontal diameter AB. Determine, at this instant, (a) The acceleration of point D, (b) The...
The dynamic model between an output variable y and an input variable u can be expressed by (a) Will this system exhibit an oscillatory response after an arbitrary change in u? (b) What is the...
An insulated pistoncylinder device contains 100 L of air at 400 kPa and 25C. A paddle wheel within the cylinder is rotated until 15 kJ of work is done on the air while the pressure is held constant....
Determine the indices for the directions shown in the following cubic unitcell: B. +x
A 2.9-lb force P is applied to the lever which controls the auger of a snow blower. Determine the value of α knowing that the moment of P about A is counterclockwise and has a magnitude of 17...
Approximate the human form as an unclothed vertical cylinder of O.3-m diameter and 1.75-m length with a surface temperature of 30C. (a) Calculate the heat loss in a 10-m/s wind at 20C. (b) What is...
An industrial process involves evaporation of a thin water film from a contoured surface by heating it from below and forcing air across it. Laboratory measurements for this surface have provided the...
The three-stage extractor shown in Figure 8.44 is used to extract the arnine from a fluid consisting of 40 wt% benzene (B) and 60 wt% trimethylamine (T). The solvent (water) flow to stage 3 is 5,185...
The pendulum consists of the slender rod OA, which has a mass per unit length of 3 kg/m. The thin disk has a mass per unit area of 12 kg/m2. Determine the distance y to the center of mass G of the...
The use of rock pile thermal energy storage systems has been considered for solar energy and industrial process heat applications. A particular system involves a cylindrical container, 2 m long by 1...
Determine the mass moment of inertia of the 0.9-lb machine component shown with respect to the axis AA .
For the system of particles of Prob. 14.13, determine (a) The position vector r of the mass center G of the system, (b) The linear momentum mv of the system, (c) The angular momentum HG of the system...
A drum of 80-mm radius is attached to a disk of 160-mm radius. The disk and drum have a combined mass of 5 kg and combined radius of gyration of 120 mm. A cord is attached as shown and pulled with a...
Liquid air is fed to the top of a perforated-tray reboiled stripper operated at substantially atmospheric pressure. Sixty percent of the oxygen in the feed is to be drawn off in the bottoms vapor...
Two L127 Ã 76 Ã 12.7-mm angles are welded to a 10-mm steel plate. Determine the distance b and the centroidal moments of inertia Ix and Iy of the combined section knowing that Iy= 3Ix....
Consider the electronic elements that are cooled by forced convection in Problem 6.26. The cooling system is designed and tested at sea level (P = I atm), but the circuit board is sold to a customer...
A condenser-boiler section contains a 2-m x 2-m copper plate operating at a uniform temperature of T s = 100C and separating saturated steam, which is condensing, from a saturated liquid-X, which...
Exercise 1.7 shows two possible ways to design a feedback control loop to obtain a desired rate of liquid flow, wxp. Assume that in both Systems I and II, the flow transmitter is direct acting (i.e.,...
The man picks up the 52-ft chain and holds it just high enough so it is completely off the ground. The chain has points of the attachment A and B that are 50 ft apart. If the chain has a weight of 3...
A bolted joint is to have a grip consisting of two -in steel plates and one wide -in American Standard plain washer to fit under the head of the in-13 X 1.75 in UNC hex-head bolt. (a) What is the...
If it is assumed that, for steel alloys, the average cooling rate of the heat-affected zone in the vicinity of a weld is 10C/s, compare the microstructures and associated properties that will result...
The three forces act on the pipe assembly. If F1 = 50 N and F2 = 80 N, replace this force system by an equivalent resultant force and couple moment acting at O. Express the results in Cartesian...
Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when ? = 0 o? and the stiffness is k = 1.5kN/m, determine the smallest angle ? for...
Octane gas (C8H18) at 25C is burned steadily with 30 percent excess air at 25C, 1 atm, and 60 percent relative humidity. Assuming combustion is complete and the products leave the combustion chamber...
For the frame and loading shown, determine the reactions at A and C. 130 N 30 mm 60 mm 40 mm-
If a force of P = 200 N is applied to the handle of the bell crank, determine the maximum torque M that can be resisted so that the flywheel is not on the verge of rotating clockwise. The coefficient...
Calculate the heat transfer, in Btu/lbm, for the reversible process 1-3 shown in Fig. P7-45E. 360 s, Btu/lbm R FIGURE P7-45E
A 10-kg slender rod of length L is attached to collars which can slide freely along the guides shown. Knowing that the rod is in equilibrium and that =25, determine (a) The angle that the rod forms...
Calculate the radius of an iridium atom, given that Ir has an FCC crystal structure, a density of 22.4 g/cm 3 , and an atomic weight of 192.2 g/mol.
A mixture of 60 mol% propylene and 40 mol% propane at a flow rate of 100 lbmol/h and at 25?C and 300 psia is to be separated with a polyvinyltrimethylsilane polymer (see Table 14.9 for...
The bolted connection shown in the figure uses SAE grade 5 bolts. The members are hot-rolled AISI 1018 steel. A tensile shear load F = 4000 lbf is applied to the connection. Find the factor of safety...
An adiabatic heat exchanger is to cool ethylene glycol (cp = 2.56 kJ/kg C) flowing at a rate of 2 kg/s from 80 to 40C by water (cp = 4.18 kJ/kg C) that enters at 20C and leaves at 55C. Determine...
After a long walk in the 8C outdoors, a person wearing glasses enters a room at 25C and 40 percent relative humidity. Determine whether the glasses will become fogged.
A uniform beam having a weight W supports a vertical load F. If the ground pressure varies linearly as shown, determine the load intensities w1 and w2 measured in lb/ft, necessary for equilibrium....
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 process has the transfer function of Eq. 6-14 with K = 2, ?1 = 10, ?2 = 2. If ?a has the following value: Calculate the responses for a step input of magnitude 0.5 and plot them in a single figure....
A steam power plant operates on a simple ideal Rankine cycle between the pressure limits of 1250 and 2 psia. The mass flow rate of steam through the cycle is 75 lbm/s. The moisture content of the...
Consider a steam power plant that operates on a regenerative Rankine cycle and has a net power output of 150 MW. Steam enters the turbine at 10 MPa and 500°C and the condenser at 10 kPa. The...
Electrical components mounted to each of two isothermal plates are cooled by passing atmospheric air between the plates, and an in-line array of aluminum pin fins is used to enhance heat transfer to...
Determine the beam?s moment of inertia Ix' about the centroidal x axis. 15 mm 15 mm 50 mm x- 50 mm 10 mm 100 mm 100 mm
A 68-kg man whose average body temperature is 39C drinks 1 L of cold water at 3C in an effort to cool down. Taking the average specific heat of the human body to be 3.6 kJ/kg C, determine the drop...
A concentric tube arrangement, for which the inner and outer diameters are 80 mm and 100 mm, respectively, is used to remove heat from a biochemical reaction occurring in a 1-m-long settling tank....
A 0.04-m3 tank initially contains air at ambient conditions of 100 kPa and 22°C. Now, a 15-liter tank containing liquid water at 85°C is placed into the tank without causing any air to...
A spacecraft is describing an elliptic orbit of minimum altitude hA = 1500 mi and maximum altitude hB = 6000 mi above the surface of the earth. Determine the speed of the spacecraft at A. ha 3900 mi B
A solar furnace consists of an evacuated chamber with transparent windows, through which concentrated solar radiation is passed. Concentration may be achieved by mounting the furnace at the focal...
What is the percentage of error involved in treating carbon dioxide at 3 MPa and 10C as an ideal gas?
Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water pipe heats the water from 16 to 43°C. Taking the density of water to be 1 kg/L,...
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each compressor stage and each turbine stage is 8 to 1. The pressure at the...
On a summer day the air temperature is 27C and the relative humidity is 30%. Water evaporates from the surface of a lake at a rate of 0.10 kg/h per square meter of water surface area. The temperature...
Show that the radius r of the orbit of a moon of a given planet can be determined from the radius R of the planet, the acceleration of gravity at the surface of the planet, and the time required by...
At 25C and 101 kPa, 2 mol of a gas containing 35 mol% propylene in propane is equilibrated with 0.1 kg of silica gel adsorbent. Using the equilibrium data of Figure, calculate the moles and...
Data for the titration of 100.00 mL of a weak acid by NaOH are given below. Find the end point by preparing a Gran plot, using the last 10% of the volume prior to Ve. 048262810094016 | 7 7 7 8 8 9 9...
If 8 kg of oxygen in a closed tank at 200C and 300 kPa is heated until the pressure rises to 400 kPa, calculate (a) The new temperature; (b) The total heat transfer; and (c) The change in entropy.
Refrigerant-134a at 1.4 MPa and 90C is throttled to a pressure of 0.6 MPa. The temperature of the refrigerant after throttling is (a) 22C (d) 80C (b) 56C (e) 90C (c) 82C
Determine the internal normal force, shear force, and moment acting at points B and C on the curved rod. Units Used: kip = 103 lb Given: F = 500 lb 2 = 30 deg r = 2 ft a = 3 1 = 45 deg b = 4 - NB M
Instruments in airplane A indicate that with respect to the air the plane is headed 30? north of east with an airspeed of 480 km/h. At the same time radar on ship B indicates that the relative...
Consider a circular cylinder (oriented with its axis perpendicular to the flow) and a symmetric diamond-wedge airfoil with a half-angle of 5 at zero angle of attack; both bodies are in the same Mach...
A bar in tension has a circular cross section and includes a conical portion of length l , as Shown, the task is to find the spring rate of the entire bar. Equation (44) is useful for the outer...
A 0.9-m3 rigid tank is divided into two equal compartments by a partition. One compartment contains Ne at 20C and 100 kPa, and the other compartment contains Ar at 50C and 200 kPa. Now the partition...
Gear C has a mass of 5 kg and a centroidal radius of gyration of 75 mm. The uniform bar AB has a mass of 3 kg and gear D is stationary. If the system is released from rest in the position shown,...
A 2-kg block A slides in a vertical frictionless slot and is connected to a moving support B by means of a spring AB of constant k = 117N/m. Knowing that the displacement of the support is = m sin...
Determine the angle ? between the tails of the two vectors. n = 9 m. 120 60 45
A cylindrical piece of 8640 steel is to be austenitized and quenched in moderately agitated oil. If the hardness at the surface of the piece must be at least 49 HRC, what is the maximum allowable...
A plane wall has constant properties, no internal heat generation, and is initially at a uniform temperature Ti. Suddenly, the surface at x = L is heated by a fluid at T having a convection...
For laminar free convection from a heated vertical surface, the local convection coefficient may be expressed as hx = Cx-1/4, where h, is the coefficient at a distance x from the leading edge of the...
In a game of pool, ball A is moving with a velocity v0 of magnitude v0 = 15 ft/s when it strikes balls B and C, which are at rest and aligned as shown. Knowing that after the collision the three...
Friction factor for flow past an infinite cylinder, the flow past a long cylinder is very different from the flow past a sphere, and the method introduced in S4.2 can-not be used to describe this...
A 0.55-ft3 well-insulated rigid can initially contains refrigerant-134a at 90 psia and 30°F. Now a crack develops in the can, and the refrigerant starts to leak out slowly, Assuming the...
A tube has another tube shrunk over it. The specifications are Inner Member Outer Member ID OD 1.000 +0.002 in 2.000 +0.0004 in 1.999 0.0004 in 3.000t 0.004 in