A 5-m-long beam is loaded as shown. Determine the loading of Prob 3.98 that is equivalent to this loading. 5 m- 350 N 650 N S00 N fo.s m B. o.S m. 1.27 kN m S00 N

Revised design of an air duct (Fig. 7B.5), a straight, horizontal air duct was to be installed in a factory. The duct was supposed to be 4 ft x 4 ft in cross section. Because of an obstruction, the...

In Example 16.1, the ultimate gain for the primary controller was found to be 43.3 when Kc2 = 5. (a) Derive the closed-loop transfer functions for Y1/D1 and Y1/D2 as a function of Kc1 and Kc2. (b)...

A 30-kg uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. Knowing that the panel remains in the position...

Flowerate calculation (Fig. 7A.6) for the system shown in the figure, calculate the volume flow rate of water at 68F.

Free convection velocity. (a) Verify the expression for the average velocity in the upward-moving stream in Eq. 10.9-16. (b) Evaluate for the conditions given below. (c) What is the average velocity...

Germanium tetrachloride (GeC14) and silicon tetrachloride (SiC14) are used in the production of optical fibers. Both chlorides are oxidized at high temperature and converted to glasslike particles....

Suppose the hypothetical processor of also has two I/O instructions: 0011 = Load AC from I/O 0111 = Store AC to I/O In these cases, the 12-bit address identifies a particular external device. Show...

A long rectangular plate of AISI 304 stainless steel is initially at 1200 K and is cooled by an array of slot jets (see Figure 7.16). The nozzle width and pitch are W = 10 mm and S = 100 mm,...

The structural components of modern aircraft are commonly fabricated of high-performance composite materials. These materials are fabricated by impregnating mats of extremely strong fibers that are...

Lime (calcium oxide) is widely used in the production of cement, steel, medicines, insecticides, plant and animal food, soap, rubber, and many other familiar materials. It is usually produced by...

Construct the hypothetical phase diagram for metals A and B between temperatures of 600C and 1000C given the following information: The melting temperature of metal A is 940C. The solubility of B...

Carbon dioxide is stripped from water by air in a wetted-wall tube. At a certain location, where the pressure is 10 atM and the temperature is 25oC, the mass-transfer flux of CO2 is 1.62 Ibmouh-ft2....

Determine the unstretched length of spring AC if a force P = 80 lb causes the angle ? = 60 o for equilibrium. Cord AB is 2 ft long. Take k = 50 lb/ft. -2 h 2 ft-

Determine the location xc of the centroid of the solid made from a hemisphere, cylinder, and cone. Given: a = 80 mm b = 60 mm c = 30 mm d = 30 mm

A horizontal tube of 12.5-mm diameter with an outer surface temperature of 240C is located in a room with an air temperature of 20C. Estimate the heat transfer rate per unit length of the tube due to...

The 10-kg square plate shown is supported by three vertical wires. Determine (a) The tension in each wire when a = 100 mm, (b) The value of a for which tensions in the three wires are equal. 300 mm

A 30-cm-OD pipe with a surface temperature of 90?C carries steam over a distance of 100 m. The pipe is buried with its center line at a depth of 1 m, the ground surface is ?? 6?C, and the mean...

A golfer aims his shot to clear the top of a tree by a distance h at the peak of the trajectory and to miss the pond on the opposite side. Knowing that the magnitude of v0 is 30 m/s, determine the...

The Ideal Gas Company has built a stirred-tank chemical reactor with a paddle-type agitator. Dr. A. Quirk, head of the Chemical Kinetics and Reactor Design Group, is attempting to determine why his...

A perfectly stirred tank is used to heat a flowing liquid. The dynamics of the system have been determined to be approximately as shown in figure. Where: P is the power applied to the heater Q is the...

Find Io in the network shown using Thevenins Theorem 4mA Io

Air at 20C and 5 atm is throttled by a valve to 2 atm. If the valve is adiabatic and the change in kinetic energy is negligible, the exit temperature of air will be (a) 10C (d) 20C (b) 14C (e) 24C...

During a regeneration process, some steam is extracted from the turbine and is used to heat the liquid water leaving the pump. This does not seem like a smart thing to do since the extracted steam...

The compound shears are used to cut metal parts. Determine the vertical cutting force exerted on the rod R if a force F is applied at the grip G. The lobe CDE is in smooth contact with the head of...

A roof truss is loaded as shown. Determine the force in members FH, GJ, and GI. askip

In Example 4.4, a two-tank system is presented. Using state-space notation, determine the matrices A, B, C, and E, assuming the level deviations h1 and h2 are the state variables, the input variable...

Determine the surface area and volume of the wheel formed by revolving the cross-sectional area 360o about the zaxis. 1 in. 1 in. 15 in. 4 in.- 2 in.

Determine the distance h to which a hole of diameter d must be bored into the base of the cone so that the center of mass of the resulting shape is located at zc. The material has a density . Given:...

A camera of mass 240 g is mounted on a small tripod of mass 200g, assuming that the mass of the camera is uniformly distributed and that the line of action of the weight of the tripod passes through...

Flow rate for a given pressure drop. How many gal/hr of water at 68 o F can be delivered through a 1320-ft length of smooth 6.00-in. i. d. pipe under a pressure difference of 0.25 psi? Assume that...

A cast iron, T-type fitting is being produced for the oil drilling industry, using an air-set or no-bake sand for both the mold and the core. A silica sand has been used in combination with a...

For the shaft shown in the figure, let a1 = 4 in, b1 = 12 in, a2 = 10 in, F1 = 100 lbf, F2 = 300 lbf, and E = 30 Mpsi. The shaft is to be sized so that the maximum slope at either bearing A or...

A hand truck is used to move two barrels, each weighing 80 lb. Neglecting the weight of the hand truck, determine (a) The vertical force P which should be applied to the handle to maintain...

Consider a thin electrical heater attached to a plate and backed by insulation. Initially, the heater and plate are at the temperature of the ambient air, T . Suddenly, the power to the heater is...

An 4-kg collar A can slide without friction along a vertical rod and is released from rest in the position shown with the springs undeformed. Knowing that the constant of each spring is 300 N/m,...

The blade of an oscillating fan and the rotor of its motor have a total mass of 300 g and a combined radius of gyration of 75 mm. They are supported by bearings at A and B, 125 mm apart, and rotate...

For the MgOAl2O3 system, what is the maximum temperature that is possible without the formation of a liquid phase? At what composition or over what range of compositions will this maximum temperature...

Cite five important characteristics for polymers that are to be used in thin-film applications.

If ? = 30? and F 1 = 250 lb, determine the magnitude of the resultant force acting on the bracket and its direction measured clockwise from the positive x axis. ? ? F = 300 lb F= 260 lb

For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due toV. w = 6 kN/mm 0 100 mm A 200 mm B 50 mm dia

A piston/cylinder has ammonia at 2000 kPa, 80oC with a volume of 0.1 m3. The piston is loaded with a linear spring and outside ambient is at 20oC, shown in Fig. P8.71. The ammonia now cools down to...

For the conditions described in Problem 1.44, determine the temperature distribution, T(r), in the container, expressing your result in terms of qo, ro, T, h, and the thermal conductivity k of the...

Many laptop computers are equipped with thermal management systems that involve liquid cooling of the central processing unit (CPU), transfer of the heated liquid to the back of the laptop screen...

In the production of many microelectronic devices, continuous chemical vapor deposition (CVD) processes are used to deposit thin and exceptionally uniform silicon dioxide films on silicon wafers. One...

Methanol (M) is to be separated from water (W) by distillation as shown in Figure. The feed is subcooled such that q = 1.12. Determine the feed-stage location and the number of theoretical stages...

Find the voltage Vo in the network shown. 1 kQ 2 kQ 24 mA 6 kQ 3 kQ 6 kQ 12 kQ

Hot combustion gases enter the nozzle of a turbojet engine at 260 kPa, 747°C, and 80 m/s and exit at 70 kPa and 500°C. Assuming the nozzle to be adiabatic and the surroundings to be at...

Nitrogen gas enters a diffuser at 100 kPa and 150C with a velocity of 180 m/s, and leaves at 110 kPa and 25 m/s. It is estimated that 4.5 kJ/kg of heat is lost from the diffuser to the surroundings...

An equimolar mixture of helium and argon gases is to be used as the working fluid in a closed-loop gas-turbine cycle. The mixture enters the turbine at 2.5 MPa and 1300 K and expands isentropically...

Determine the capacity, in gallons, of the punch bowl shown if 12 R = in. R.

A second-order critically damped process has the transfer function (a) For a step change in Input of magnitude M, what is the time (tS) required for such a process to settle to within 5% of the total...

Shown in the figure is a uniform-diameter shaft with bearing shoulders at the ends; the shaft is subjected to a concentrated moment M = 1200 lbf ?in. The shaft is of carbon steel and has a = 5 in and...

Water at 290 K and 0.2 kg/s flows through a Teflon tube (k = 0.35 W/m K) of inner and outer radii equal to 10 and 13 nun, respectively. A thin electrical heating tape wrapped around the outer...

Two friction wheels A and B are both rotating freely at 300 rpm counterclockwise when they are brought into contact. After 12 s of slippage, during which each wheel has a constant angular...

A mixture of propionic and n-butyric acids, which can be assumed to form ideal solutions, is to be separated by distillation into a distillate containing 95 mol% propionic acid and a bottoms product...

Consider a pistoncylinder device that contains 0.5 kg air. Now, heat is transferred to the air at constant pressure and the air temperature increases by 5C. Determine the expansion work done during...

A homeowner is trying to decide between a high efficiency natural gas furnace with an efficiency of 97 percent and a ground-source heat pump with a COP of 3.5. The unit costs of electricity and...

Neglecting friction, determine (a) The value of θ for which the tension in cable ABD is 3P/4, (b) The corresponding reaction at C.

Determine the mass moment of inertia of the steel machine element shown with respect to the y axis. (The density of steel is 7850 kg/m3.) 360 mm S0 mm 200 mm 240 min 50 mm 100 mm

A 50-lb package is projected up a 20? incline with an initial velocity of 40 ft/s. Knowing that the coefficient of kinetic friction between the package and the incline is 0.15, determine (a) The...

A 60-mm-radius disk spins at the constant rate 2 = 4 rad/s about an axis held by a housing attached to a horizontal rod that rotates at the constant rate 1 = 5 rad/s. Knowing that = 30?, determine...

Waste heat from the exhaust gas of an industrial furnace is recovered by mounting a bank of un-finned tubes in the furnace stack. Pressurized water at a flow rate of 0.025 kg/s makes a single pass...

Illustrated in the figure is a 1 ½ -in-diameter steel countershaft that supports two pulleys. Pulley A delivers power to a machine causing a tension of 600 lbf in the tight side of the belt...

The tank of water in Fig P2.142 is 12 cm wide into the paper. If the tank is accelerated to the right in rigid-body motion at 6 m/s2, compute (a) The water depth at AB, and (b) The water force on...

A cooling coil consists of a bank of aluminum (k = 237 W/m K) finned tubes having the core configuration of figure and an inner diameter of 13.8 mm. The tubes are installed in a plenum whose square...

The steam requirements of a manufacturing facility are being met by a boiler whose rated heat input is 3.6 x 106 Btu/h. The combustion efficiency of the boiler is measured to be 0.7 by a hand-held...

When a molten metal is cast in a mold that is a poor conductor, the dominant resistance to heat flow is within the mold wall. Consider conditions for which a liquid metal is solidifying in a...

It is known that on clear nights the air temperature need not drop below 0C before a thin layer of water on the ground will freeze. Consider such a layer of water on a clear night for which the...

Formaldehyde may be produced in the reaction between methanol and oxygen: 2 CH 3 OH (l) + O 2 (g) 2 HCHO (g) + 2 H 2 O (l): H = 326.2 kJ/mol. The standard heat of combustion of hydrogen is H 2 (g)...

A mixture of air and a fine spray of gasoline at ambient (outside air) temperature are fed to a set of piston-fitted cylinders in an automobile engine. Sparks ignite the combustible mixtures in one...

(a) From Figure, compute the length of time required for the average grain diameter to increase from 0.01 to 0.1 mm at 500?C for this brass material. (b) Repeat the calculation at 600?C. 850C 800C...

Ammonia in a piston/cylinder arrangement is at 700 kPa, 80C. It is now cooled at constant pressure to saturated vapor (state 2) at which point the piston is locked with a pin. The cooling continues...

Consider the roof of the refrigerated truck compartment described in Problem 7.20, but under conditions for which the truck is parked (V = 0), an other conditions remain unchanged. For as = B = 0.5,...

Determine the resultant of the three forces of Problem 2.21. Problem 2.21: Determine the x and y components of each of the forces shown. 30 kN 20 AN 42 AN 20

Simulate a module called SPLIT, which takes a feed stream (SF) and splits it into two streams (S1 and S2), each having the composition and temperature of the feed stream. A fraction Xi of the feed...

A long, thin-walled horizontal tube 100 mm in diameter is maintained at 120C by the passage of steam through its interior. A radiation shield is installed around the tube, providing an air gap of 10...

Estimate the minimum absorbent flow rate required for the separation calculated in Example 5.3 assuming that the key component is propane, whose flow rate in the exit vapor is to be 155.4 lbmol/h.

An ideal Otto cycle with a specified compression ratio is executed using (a) air, (b) argon, and (c) ethane as the working fluid. For which case will the thermal efficiency be the highest? Why?

For a Liquid-level control system similar to that in figure, Appelpolscher has argued that integral control action is not required because the process acts as an Integrator (cf, Eq. 11-77). To...

For a multistage bioseparation process described by the transfer function, Calculate the response to a step input change of magnitude, 1.5. (a) Obtain an approximate first- order-plus-delay model...

The propeller of a moderately large pleasure boat has been cast from a nickel-aluminum-bronze alloy that contains 82% Cu, 9% Al, 4% Ni, 4% Fe, and 1% Mn. It is approximately 13 inches in diameter...

R. W. Landgraf reported the following axial (push pull) endurance strengths for steels of differing ultimate strengths: (a) Plot the data with Se as ordinate and Su as abscissa. (b) Using the y = mx...

A uniform slender L-shaped bar ABC is at rest on a horizontal surface when a force P of magnitude 4 N is applied at point A. Neglecting friction between the bar and the surface and knowing that the...

The standard heat of the reaction CaC2 (s) + 5 H2O (l) CaO (s) + 2 CO2 (g) + 5 H2 (g) is H = + 69.36 kJ/mol. (a) Is the reaction exothermic or endothermic at 25C? Would you have to heat or cool the...

Consider the stirred-tank heating system shown in Fig. E. It is desired to control temperature T2 by adjusting the heating rate Q1 (Btu/h) via voltage signal V1 to the SCR. It has been suggested that...

Calculate the molar volume of saturated liquid and the molar volume of saturated vapor by the Redlich/Kwong equation for one of the following and compare results with values found by suitable...

Three workers trying to move a 1 Ã 1 Ã 1.2-m crate apply to the crate the three horizontal forces shown. (a) If P = 240 N, replace the three forces with an equivalent force-couple...

Bus bars proposed for use in a power transmission station have a rectangular cross section of height H = 600 mm and width W = 200 mm. The electrical resistivity, c

Consider a thin-walled, metallic tube of length L = 1 m and inside diameter Di = 3 mm. Water enters the tube at m = 0.015 kg/s and Tm.i = 97C. (a) What is the outlet temperature of the water if the...

An aluminum alloy (2024) plate, heated to a uniform temperature of 227C, is al10wed to cool while vertically suspended in a room where the ambient air and surroundings are at 27C. The plate is 0.3 m...

Time for attainment of steady flow in tube flow (a) A heavy oil with a kinematic viscosity of 3.45 x 10 -4 m 2 /s, is at rest in a long vertical tube with a radius of 0.7 cm. The fluid is suddenly...

What is the minimum distribution coefficient that permits removal of 99% of a solute from 50.0 mL of water with (a) Two 25.0-mL extractions with toluene? (b) Five 10.0-mL extractions with toluene?

An air-conditioning system is used to maintain a house at 75F when the temperature outside is 95F. The house is gaining heat through the walls and the windows at a rate of 800 Btu/min, and the heat...

A well-insulated 4-m x 4-m x 5-m room initially at 10C is heated by the radiator of a steam heating system. The radiator has a volume of 15 L and is filled with superheated vapor at 200 kPa and 200C....

The gate at the end of a 1-m-wide freshwater channel is fabricated from three 125-kg, rectangular steel plates. The gate is hinged at A and rests against a frictionless support at D. Knowing that...

For the beam and loading shown, (a) Draw the shear and bending-moment diagrams, (b) Determine the location and magnitude of the maximum bending moment. 2.5 kN/m 1.2 me

Ammonia, present at a partial pressure of 12 torr in an air stream saturated with water vapor at 68F and 1 atm, must be removed to the extent of 99.6% by water absorption at the same temperature and...

An electrical heater 100 mm long and 5 mm in diameter is inserted into a hole drilled normal to the surface of a large block of material having a thermal conductivity of 5 W/m K. Estimate the...

Consider a container exposed to a saturated vapor, T sat , having a cold bottom surface, Ts < T sat , and with insulated sidewalls. Calculate the thickness of the liquid layer formed in 1 h for a...