An experimenter has run a Box-Behnken design and has obtained the results below, where the response variable is the viscosity of a polymer: (a) Fit the second-order model. (b) Perform the canonical...

You are trying to evaluate whether an existing, idle distillation column can be used for a separation for which it was not originally designed. Answer the following questions about this column: a....

The crate is on the ground and is to be hoisted using the three slings shown. Replace the system of forces acting on the slings by an equivalent resultant force and couple moment at point O. The...

Solve Prob. 6.42 using the following values: Q = 0.30 m 3 /s, D 1 = 30 cm, and D 2 = 10 cm. ( = 1000 kg/m 3 .) Data from Prob. 6.42 Water (at 50F) flows through this nozzle at a rate of 25 cfs and...

Consider a binary mixture for which the excess Gibbs energy is given by G E /RT = 2.6x 1 x 2 . For each of the following overall compositions, determine whether one or two liquid phases will be...

Determine the maximum weight of the crate that can be suspended from cables AB, AC, and AD so that the tension developed in any one of the cables does not exceed 250 lb. 2 ft3 CG 3 ft 4 ft 3 ft

How much work, in kJ, can a spring whose spring constant is 3 kN/cm produce after it has been compressed 3 cm from its unloaded length?

The apparatus in the figure can follow the course of an EDTA titration and was used to generate the curves in Figure 11-10. The heart of the cell is a pool of liquid Hg in contact with the solution...

The tie rods from anchored sheet piles will be connected using a row of anchors, as shown in Figure 18.46a. Here H = 2.0 m, h = 1.25 m, B = 1.5 m, S' = 2.5 m, ' = 32, and = 17.5 kN/m 3 . The anchor...

An unknown sample of Ni 2+ gave a current of 2.36 A in an electrochemical analysis. When 0.500 mL of solution containing 0.028 7 M Ni 2+ was added to 25.0 mL of unknown, the current increased to 3.79...

Repeat Prob. 1479 for a total pressure of 88 kPa for air. Data From Repeat Prob. 1479: Air enters a 40-cm-diameter cooling section at 1 atm, 32C, and 70 percent relative humidity at 120 m/min. The...

The clockwise angular velocity of the link AB is 2 rad/s. Determine the angular velocity of the connecting links BC and CD at the instant shown. C - 4 in.- A WAB = 2 rad/s 90 45 5 in. 45 B D 3 in.

The bent rod has a mass of 4 kg m. Determine the moment of inertia of the rod about the OA axis. N 0.6 m 1.2 m X a A T 0.4 m

Determine the dimension h of the block so that the centroid C of the assembly lies at the base of the cylinder as shown. 6 in. 6 in. h- C 5 in. 2 in, X

The water table at a site is at 5 m below the ground level, and it is required to excavate to this level. The soil profile consists of a thick bed of sand where the unit weight is 17.0 kN/m 3 above...

Four pesticides used in dormant California orchards are chlorpyrifos, diazinon, methidathion, and parathion. Environmental Science & Technology (Oct. 1993) reported the number of applications of...

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can...

The figure shows two fixed-potential capacitors filled with equal amounts of two different types of simple dielectric matter. Use the stress tensor method to compare the force per unit area which...

Describe how you would prepare approximately 2 L of 0.050 0 m boric acid, B(OH) 3 .

A 1.33-cm-diameter metal bar with a 3-cm gage length (l 0 ) is subjected to a tensile test. The following measurements are made in the plastic region: Determine the strain-hardening coefficient for...

Research the material Inconel, briefly described in Table A5. Compare it to various carbon and alloy steels in stiffness, strength, ductility, and toughness. What makes this material so special?

Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is s = 0.2. P...

Draw the free-body diagram for the following problems. a) The beam in Prob. 553. b) The brake pedal Prob. 554. c) The exercise machine Prob. 555. d) The hatch door in Prob. 558. B

The propeller in Prob. 9.1 is replaced with a six-blade turbine 400 mm in diameter, and the fluid to be agitated is a pseudoplastic power law liquid having an apparent viscosity of 15 P when the...

Water saturated with air at 20C is passed through hydrophobic hollow fibers at 50 cm/s. The fibers are 1 m long with an inner diameter of 500 m, and vacuum is applied on the outside to remove oxygen...

Derivatives of exp(ik r) Let A(r) = c exp(ik r) where c is constant. Show that, in every case, the replacement ik produces the correct answer for A, A, ( A), ( A), and 2 A.

Complete a failure mode effect analysis for the nitric acid plant reactor section described in Example 9.2. (This is best carried out as a group activity with a group size of three to six). Data from...

Use MATLAB and the Symbolic Math Toolbox to find the Laplace transform of the following time functions: a. f (t) = 8t 2 cos (3t + 45) b. f (t) = 3te -2t sin (4t + 60)

A slab of polymer 1.6 cm thick, originally at 30C, is heated between steel plates with a surface temperature of 70C. The density of the solid is 950 kg/m 3 , its thermal conductivity is 0.12 W/m K,...

Repeat Problem 20 in Chapter 1, using Laplace transforms. Assume that the forcing functions are zero prior to t = 0-. Data From Problem 20 in Chapter 1: Solve the following differential equations...

A point load of 500 kN is applied on an elastic medium with Poissons ratio of 0.2. Compare the vertical stress increase at the following locations as determined by the Boussinesq ( B ) and...

The motor whose torque-speed characteristics are shown in Figure P2.31 drives the load shown in the diagram. Some of the gears have inertia. Find the transfer function, G(s) = 2 (s)=E a (s). N1 = 10...

The results of a refraction survey (Figure 3.45a) at a site are given in the following table. Determine the thickness and the P-wave velocity of the materials encountered. Distance from the source of...

Modern robotic manipulators that act directly upon their target environments must be controlled so that impact forces as well as steady-state forces do not damage the targets. At the same time, the...

Gear A has a mass of 0.5 kg and a radius of gyration of k A = 40 mm, and gear B has a mass of 0.8 kg and a radius of gyration of k B = 55 mm. The link is pinned at C and has a mass of 0.35 kg. If the...

Suppose you are a bank lending officer at the Midtown National Bank considering a loan request from Miller Manufacturing company for $1.05 million. The firm currently has $1 million in equity and its...

Consider a sphere in a hypersonic flow. Using newtonian theory, show that the drag coefficient based on cross-sectional area is equal to 1 .

Represent the electrical network shown in Figure P3.2 in state space, where i R (t) is the output. 3 2H Vy(1) v(t) 3F 4v1(1) 32 iR(1) FIGURE P3.2

Refer to Figure 7.16. Assume that the head loss in the pipe is given by h L = 0.02(L/D)(V 2 /2g), where V is the mean velocity in the pipe, D is the pipe diameter, and L is the pipe length. The...

A solution with a final volume of 500.0 mL was prepared by dissolving 25.00 mL of methanol (CH 3 OH, density = 0.791 4 g/mL) in chloroform. (a) Calculate the molarity of methanol in the solution. (b)...

Fe(III) precipitates from acidic solution by addition of OH - to form Fe(OH) 3 (s). At what concentration of OH - will [Fe(III)] be reduced to 1.0 10 -10 M? If Fe(II) is used instead, what...

The woman A, the captain B, and the sailor C weigh 120, 180, and 160 lb, respectively, and are sitting in the 300-lb skiff, which is gliding through the water with a speed of 1 knot. If the three...

During the design of the spring-support system for the 4000-kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 3 cycles per...

What is the composition of the liquid phase in equilibrium with a vapor phase ethanol(1)/ethyl acetate(2) mixture of the following compositions at P = 1 bar? (a) y 1 = 0.1 (b) y 1 = 0.2 (c) y 1 = 0.3...

With the same bearing dimensional specifications and fluid viscosity used in Problem 1221, the load now rotates with the journal; i.e. F x = 3000 cos t, F y = 3000 sin t, where = 200 rad/s is the...

A braced cut shown in Figure P19.3 is to be made to a depth of 9.0 m in a saturated clay deposit where the unit weight is 17.65 kN/m 3 and the undrained shear strength is 30 kN/m 2 . The struts are...

A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for...

One way to reduce the drag of a blunt object is to install vanes to suppress the amount of separation. Such a procedure was used on model trucks in a wind tunnel study. For tests on a van-type truck...

Resolve the force F 1 into components along the u and u axes and determine the magnitude of the components. 75 30 30 F = 6 kN v F = 4 kN

During a short interval the slotted guides are designed to move according to x = 16 12t + 4t 2 and y = 2 + 15t 3t 2 , where x and y are in millimeters and t is in seconds. At the instant when t = 2...

Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in. /sec, which is decreasing at the rate of 2 in. /sec every...

The part shown is loaded at point C with 300 N in the positive x direction and at point E with 200 N in the positive y direction. The diameter of the bar ABD is 12 mm. Evaluate the likelihood of...

A manufacturing facility located at 32 N latitude has a glazing area of 60 m 2 facing west that consists of double-pane windows made of clear glass (SHGC = 0.766). To reduce the solar heat gain in...

Refer to Figure 18.23. Given L 1 = 3 m, L 2 = 6 m, l 1 = 1.5 m, = 16.5 kN/m 3 , sat = 19.0 kN/m 3 , and ' = 35. a. Find the required depth of the sheet pile, increasing the theoretical estimate by...

A driven closed-ended pile, circular in cross section, is shown in Figure P12.7. Calculate the following. a. The ultimate point load using Meyerhofs procedure. b. The ultimate point load using Vesics...

For the unexcited (no external force applied) system of Figure P2.16, do the following: a. Write the differential equation that describes the system. b. Assuming initial conditions x(0) = x 0 and...

A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 40 ft/sec as it contacts the bumper. The two outer springs cause a...

For the closed tank with Bourdon-tube gages tapped into it, what is the specific gravity of the oil and the pressure reading on gage C? 0.5 m Air A PA= 50.0 kPa 1.0 m Oil B Pg= 58.5 kPa 0.5 m 1.0 m...

A FET phase-shift oscillator having g m = 6000 S, r d = 36 k and feedback resistor R = 12 k are to operate at 2.5 kHz. Select C for specified oscillator operation.

The molar enthalpy of a ternary mixture of species a, b, and c can be described by the following expression: h = -5000x - 3000x2200x500xxx [J/mol] (a) Come up with an expression for H (b) Calculate H...

Figure P13.3 shows a drilled shaft with bell in a sandy soil. The soil properties are given in the figure. a. Determine the maximum load that can be allowed on the drilled shaft with a factor of...

1 kg of oxygen is heated from 20 to 120C. Determine the amount of heat transfer required when this is done during a (a) Constant-volume process and (b) Isobaric process. Oxygen 1 kg T = 20C T, = 120C...

A brittle material has the properties S ut = 30 kpsi and S uc = 90 kpsi. Using the brittle CoulombMohr and modified-Mohr theories, determine the factor of safety for the following states of plane...

Problem 67 in Chapter 2 introduced a model for HIV infection. If retroviral drugs, RTIs and PIs as discussed in Problem22 in Chapter 1, are used, the model is modified as follows (Craig, 2004): where...

The 4-kg ball and the attached light rod rotate in the vertical plane about the fixed axis at O. If the assembly is released from rest at = 0 and moves under the action of the 60-N force, which is...

Ecological Applications (May 1995) published a study on the development of forests following wildfires in the Pacific Northwest. One variable of interest to the researcher was tree diameter at breast...

Determine the reactions at the roller B, the rocker C, and where the beam contacts the smooth plane at A. Neglect the thickness of the beam. 3 5 + A 4 m 500 N B -2 m- 800 N 60 -6 m- C

Determine the moment of the force F about the door hinge at B. Express the result as a Cartesian vector. 45 7 ft F = 80 lb 3 ft X B Z 1.5 ft 5 ft y 4 ft 1.5 ft D

A storage tank is connected to a pond (at atmospheric pressure!) by a length of 3-in pipe and two gate valves. From previous operating experience, it has been found that when the tank is at a...

Determine the moment about point B of each of the three forces acting on the beam. F = 375 lb F2 = 500 lb 3. B. 0.5 ft tontsa- 8 ft 6 ft -5 ft- 30 F3 = 160 lb

A car is alone at a red light. When the light turns green, it starts off at constant acceleration. After traveling 100. m, it is traveling at 15. m/s. What is its acceleration? Use the v-t diagram...

Find the transfer function, G(s) = X 3 (s)/F(s), for the translational mechanical system shown in Figure P2.13. 2 N-s/m x3(1) 2 N-s/m x(1) 6 N/m 4 kg 4 kg 6 N/m 2 N-s/m 0000 4 kg Frictionless FIGURE...

The rod OA is held at the constant angle = 30 while it rotates about the vertical with a constant angular rate = 120 rev/min. Simultaneously, the sliding ball P oscillates along the rod with its...

A tennis player strikes the tennis ball with her racket while the ball is still rising. The ball speed before impact with the racket is v 1 = 15 m/s and after impact its speed is v 2 = 22 m/s, with...

Describe a feedback control system in which a user utilizes a smart phone to remotely monitor and control a washing machine as illustrated in Figure DP1.3. The control system should be able to start...

Resolve each force acting on the post into its x and y components. F = 450 N 45 y F = 300 N F3 = 600 N -X

Specify the magnitude F 3 and directions 3 . 3 and 3 so that the resultant force of the three forces is F R = {9j} kN. X F3 z Y3 135 -B312 Prob. 2-77 F = 10 KN 30 F = 12 kN

The 10-kg lamp has a center of mass at G. Determine the horizontal and vertical components of reaction at A, and the force in the cable BC. 0.3 m 0.4 m 0.15 m A B -0.5 m- *G

See Figure P123. The shaft rotating at 480 rpm carries a 10-in-diameter chain sprocket at C that receives 11 hp from a mating sprocket below and to the left as shown. Compute the torque delivered to...

The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car. Both the front and rear brakes are locked. Take s = 0.3. G. 30 0.3 m 0,6 m B -1 m-...

For the 3500-lb car, determine (a) its mass in slugs, (b) its weight in newtons, and (c) its mass in kilograms. W = 3500 lb Problem 1/1

For the pinball game of Prob. 2/109, if the plunger imparts an initial speed of 3 m /s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.08 s and (b) at time t =...

The rocket is fi red vertically and tracked by the radar station shown. When reaches 60, other corresponding measurements give the values r = 9 km, r = 21m/s 2 , and = 0.02 rad/s. Calculate the...

A steel microstructure contains 92% martensite and 8% Fe 3 C; the composition of the martensite is 1.10% C. Using Figure 12-35, determine (a) The temperature from which the steel was quenched and (b)...

A Y-connected load, with Z A = 10 0 , Z B = 10 60, and Z C = 10 60 , is connected to a three-phase, three-wire, ABC system having effective line voltage 141.4 V. Find the load voltages V AO , V BO...

Repeat Example 3.3, but assume that the ammonia, air, and water are brought into contact in a closed container. There is $10.0 \mathrm{~m}^{3}$ of gas space over the liquid. Assuming that the...

(a) What value of absorbance corresponds to 45.0% T? (b) If a 0.010 0 M solution exhibits 45.0% T at some wavelength, what will be the percent transmittance for a 0.020 0 M solution of the same...

Twenty observations on etch uniformity on silicon wafers are taken during a qualification experiment for a plasma etcher. The data are as follows: (a) Construct a 95 percent confidence interval...

A small package is deposited by the conveyor belt onto the 30 ramp at A with a velocity of 0.8 m /s. Calculate the distance s on the level surface BC at which the package comes to rest. The...

Determine the velocity of cart A if cylinder B has a downward velocity of 2 ft/sec at the instant illustrated. The two pulleys at C are pivoted independently. UB B Problem 2/210

The 15-lb cylindrical collar is released from rest in the position shown and drops onto the spring. Calculate the velocity v of the cylinder when the spring has been compressed 2 in. B | | A 15 lb...

The 3-lb collar is released from rest at A and slides freely down the inclined rod. If the spring constant k = 4 lb/ft and the unstretched length of the spring is 50 in., determine the speed of the...

The four-bar mechanism lies in a vertical plane and is controlled by crank OA which rotates counterclockwise at a steady rate of 60 rev /min. Determine the torque M which must be applied to the crank...

The results of a standard Proctor test are given in the following table. Determine the maximum dry density (kg/m 3 ) of compaction and the optimum moisture content. Volume of Proctor mold (cm) 943.3...

An element of material in plain strain has the following strains: x = 20.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 258. (b) Find the principal strains of...

Determine the magnitude of the moment of the force F = {50i - 20j - 80k} N about the base line AB of the tripod. X 1.5 m 2 m 2m 0.5 m B D N 1 m 4 m A. 2.5 m y

The bent rod is supported at A, B, and C by journal bearings. Determine the components of reaction at bearings if the rod is subjected to the 200-lb vertical force and the 30 lb-ft couple moment. The...

Determine the location (x, ) of the centroid of the sheet metal cross section. Neglect the thickness of the material and slight bends at the corners. y 2 in. 8 in. -3 in.3 in. X

Reconsider Prob. 253. Assuming a linear pressure increase during the compression, estimate the energy needed to compress the water isothermally. Data from Problem 53. A frictionless piston-cylinder...

Large central power stations (about 1000 MW electrical) using fluidized bed combustors may be built some day (see Fig. P1.2). These giants would be fed 240 tons of coal/hr (90% C, 10% H,), 50% of...