A steel cable of diameter 3/16 in. is attached to an eyebolt and tensioned to 500 lb (Figure P5.4, see on page 226). Calculate the stress in the cable, and express it in the dimensions psi, ksi, Pa,...

A 1-ft-long rod is made from the material of Problem P5.11. By what amount must the rod be stretched from its original length for it to begin yielding? Problem P5.11 Determine the elastic modulus and...

Water flows through a circular pipe having a constriction in diameter from 1 in. to 0.5 in. The velocity of the water just upstream of the constriction is 4 ft/s. By using the result of Problem...

A 3 m thick clay layer (c u = 60 kN/m 2 and = 19.0 kN/m 3 ) is underlain by a weaker clay (c u = 30 kN/m 2 and = 18.0 kN/m 3 ) to a large depth. A 2.0 m wide square foundation is placed at 1.5 m...

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

Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A. 4 kN/m 2 kN/m -3 m -3 m

The plan of a group pile is shown in Figure P12.34. Assume that the piles are embedded in a saturated homogeneous clay having a c u = 90 kN/m 2 . Given: diameter of piles (D) = 316 mm,...

Determine the moment of inertia for the shaded area about the x axis. -y? = 1 - x 1 m 1 m 1 m -

Using Rankines earth pressures and neglecting the passive resistance, determine the factor of safety with respect to sliding and overturning for the gravity retaining wall shown in Figure P17.4. The...

The dimensions of a jib crane, which is manufactured by the Basick Co., are given in the figure. The crane has a mass of 800 kg and a center of mass at G.The bearing at A is a journal bearing and can...

The two blocks used in a measuring device have negligible weight.If the spring is compressed 5 in. when in the position shown, determine the smallest axial force P which the adjustment screw must...

The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the following results are obtained: Days 108 138 124 163 124 159 106 134 115 139 (a) We would...

An experiment was run in a semiconductor fabrication plant in an effort to increase yield. Five factors, each at two levels, were studied. The factors (and levels) were A = aperture setting (small,...

Design an experiment for confounding a 26 factorial in four blocks. Suggest an appropriate confounding scheme, different from the one shown in Table 7-8. Table 7-8.

Air is compressed by an adiabatic compressor from 100 kPa and 20C to 1.8 MPa and 400C. Air enters the compressor through a 0.15-m 2 opening with a velocity of 30 m/s. It exits through a 0.08-m 2...

Saturated water vapor at 40C is to be condensed as it flows through a tube at a rate of 0.20 kg/s. The condensate leaves the tube as a saturated liquid at 40C. The rate of heat transfer from the tube...

In the central composite design of Problem 11-14, two responses were obtained, the mean and variance of an oxide thickness. Use the Box-Cox method to investigate the potential usefulness of...

The pressure in a natural gas pipeline is measured by the manometer shown in Fig. P167E with one of the arms open to the atmosphere where the local atmospheric pressure is 14.2 psia. Determine the...

The force generated by a spring is given by F = kx, where k is the spring constant and x is the deflection of the spring. The spring of Fig. P199 has a spring constant of 8 kN/cm. The pressures are P...

Moist air is passed through a cooling section where it is cooled and dehumidified. How do (a) The specific humidity (b) The relative humidity of air change during this process?

Steam enters a converging nozzle at 5.0 MPa and 400C with a negligible velocity, and it exits at 3.0 MPa. For a nozzle exit area of 75 cm 2 , determine the exit velocity, mass flow rate, and exit...

A rigid tank contains 7.5 kg of saturated water mixture at 400 kPa. A valve at the bottom of the tank is now opened, and liquid is withdrawn from the tank. Heat is transferred to the steam such that...

For the combined translational and rotational system shown in Figure P2.28, find the transfer function, G(s) = X(s)/T(s). J= 3 kg-m? B Radius = 2 m 1 N-m-s/rad TO) N = 10 A 3 kg-m2 N2 = 20 N4 = 60...

Given the rotational system shown in Figure P2.26, find the transfer function, G(s) = 6 (s)/ 1 (s). J1, D N2 K1 Na Jz D N4 J6 Js 000 D K2 FIGURE P2.26

On a summer day in New Orleans, Louisiana, the pressure is 1 atm: the temperature is 32C; and the relative humidity is 95 percent. This air is to be conditioned to 24C and 60 percent relative...

Using the Laplace transform pairs of Table 2.1 and the Laplace transform theorems of Table 2.2, derive the Laplace transforms for the following time functions: a. e -at sin t u(t) b. e -at cos t u(t)...

For the unity feedback system of Figure P8.3, where sketch the root locus and find the following: a. The breakaway and break-in points b. The j-axis crossing c. The range of gain to keep the system...

Write, but do not solve, the equations of motion for the translational mechanical system shown in Figure P2.15. x3(1) K = 5 N/m M3 = 5 kg: fvz = 3 N-s/m fv, = 2 N-s/m- K2 = 4 N/m ML=4 kg: 0000M2 = 5...

Find the transfer function, G(s) = V o (s)/Vi(s), for each operational amplifier circuit shown in Figure P2.8. 110 k2 4 F (1ya 400 k2 4 F (a) 110 k2 HE 600 k2 4 F 400 k2 4 F 600 k2 (b) FIGURE P2.8...

Find the state-space representation of the network shown in Figure P3.3 if the output is v o (t). iz(1). 1 H 1F v,(1) 1 F 22 i(1) iz(1) FIGURE P3.3

Refer to the Centers for Disease Control study of sanitation levels for 186 international cruise ships, Exercise 2.19. (Recall that sanitation scores ranged from 0 to 100.) Find and interpret...

Determine your mass in slugs. Convert your weight to newtons and calculate the corresponding mass in kilograms.

The speed of a car increases uniformly with time from 50 km/h at A to 100 km/h at B during 10 seconds. The radius of curvature of the hump at A is 40 m. If the magnitude of the total acceleration of...

A golf ball is launched with the initial conditions shown in the figure. Determine the radius of curvature of the trajectory and the time rate of change of the speed of the ball (a) just after launch...

At the instant illustrated, car B has a speed of 30 km/h and car A has a speed of 40 km/h. Determine the values of r and for this instant where r and are measured relative to a longitudinal axis...

At a certain instant, the 80-lb crate has a velocity of 30 ft /sec up the 20 incline. Calculate the time t required for the crate to come to rest and the corresponding distance d traveled. Also,...

The position s of a particle along a straight line is given by s = 8e 0.4t 6t + t 2 , where s is in meters and t is the time in seconds. Determine the velocity v when the acceleration is 3 m/s 2 .

The small cart has a speed v A = 4 m /s as it passes point A. It moves without appreciable friction and passes over the top hump of the track. Determine the cart speed as it passes point B. Is...

When the 10-lb plunger is released from rest in its vertical guide at = 0, each spring of stiffness k = 20 lb /in. is uncompressed. The links are free to slide through their pivoted collars and...

The particle of mass m is launched from point O with a horizontal velocity u at time t = 0. Determine its angular momentum HO relative to point O as a function of time. m y L--x

A coil of heavy flexible cable with a total length of 100 m and a mass of 1.2 kg/m is to be laid along a straight horizontal line. The end is secured to a post at A, and the cable peels off the coil...

The disk rotates about a fixed axis through O with angular velocity w = 5 rad/s and angular acceleration a = 3 rad/s 2 at the instant represented, in the directions shown. The slider A moves in the...

The 20-kg wheel has an eccentric mass which places the center of mass G a distance r = 70 mm away from the geometric center O. A constant couple M = 6 N m is applied to the initially stationary...

The uniform slender bar of mass p per unit length is freely pivoted about the y-axis at the clevis, which rotates about the fixed vertical z-axis with a constant angular velocity w. Determine the...

Determine if the unity feedback system of Figure P6.3 with K(s? + 1) G(s) = %3D (s + 1)(s +2)

Plot of the Fermi distribution function at two different temperatures. Calculate the Fermi function at 6.5 eV if E F = 6.25 eV and T = 300 K. Repeat for T =950 K assuming that the Fermi energy does...

Determine the Debye temperature D, Debye wavelength, and the Debye frequency D for diamond given that the lattice constant for this material is 3.56 , the density of diamond is 3.52 10 3 kg.m -3 ,...

Find the equilibrium concentration of defects for T = 0, 200, 400, 600, 800, 1000, and 1200 K if the energy to form a defect is 1 eV/atom. Assume A is unity. Graph your results. For T = 1200 K, how...

Give some examples of physical properties that defects can change.

A U-tube is rotated about one leg, as shown. Before being rotated the liquid in the tube fills 0.25 m of each leg. The length of the base of the U-tube is 0.5 m, and each leg is 0.5 m long. What...

The discharge of water in a 27-cm-diameter pipe is 0.057 m 3 /s. What is the mean velocity?

Consider a closed vessel of fixed volume containing equal masses of water, ethanol, and toluene at 70C. Three phases (two liquid and one vapor) are present. (a) How many variables, in addition to the...

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

For the voltage-divider configuration of Fig. 7.95, determine: a. IDQ and V GSQ . b. V D and V S Fig. 7.95 22 V 1.2 k2 Vas m) =4 V Vas (on) = 7 V Ip (on) = 5 mA I MO Vpse 0.51 k2 FIG. 7.94

Given V DS = 4 V for the network of Fig. 7.89 , determine: a. I D . b. V D and V S . c. V GS . 20 V 3 k2 4 V Vas 1.2 k2 6+2 V FIG. 7.89

The clutch system shown in Fig. P1024 is used to transmit torque through a 2-mm-thick oil film with = 0.38 Ns/m 2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a...

The moisture content of a soil sample is 18.4%, and its dry unit weight is 100 lb/ft 3 . Assuming that the specific gravity of solids is 2.65, a. Calculate the degree of saturation. b. What is the...

Consider the closed-loop transfer function Develop an m-file to, obtain the Bode plot and verify that the resonant frequency is 5.44 rad/s and that the peak magnitude M p is 14.8 dB. T(s) || 30 s + s...

The 9500-lb pipe is supported by three cables. Determine the force in each cable for equilibrium of the hook at A B C 9500 lb A 135 -1 ft 135 2.4 ft D

If V = 2x 2 + 6y 2 V in free space, find the energy stored in a volume defined by 1 x 1, 1 y 1, and 1 z 1.

The crane lifts the 400-kg load L. The primary boom AB has a mass of 1.20 Mg and a center of mass at G 1 , whereas the secondary boom BC has a mass of 0.6 Mg and a center of mass at G 2 . Determine...

Three parallel bolting forces act on the circular plate. Determine the resultant force, and specify its location (x, z) on the plate. F A = 200 lb, F B = 100 lb, and F C = 400 lb. 1.5 ft 30

If F = 80N, determine the magnitude and coordinate direction angles of the couple moment. The pipe assembly lies in the xy plane. x Z -F 200 mm 300 mm 200 mm 300 mm AF 300 mm -y

A 3-lb weight is attached to the end of rod ABC. If the rod is supported by a smooth slider block at C and rod BD, determine the angle for equilibrium. Neglect the weight of the rods and the slider....

Determine the moment of inertia of the area about the the x axis. 80 mm y E 20 mm = (400-x) X

Major floor loadings in a shop are caused by the weights of the objects shown. Each force acts through its respective center of gravity G. Locate the center of gravity (x, ) of all these objects. Z...

Determine the location of the centroid of the solid made from a hemisphere, cylinder, and cone. y 80 mm- - -60 mm T 30 mm -30 mm- -X

Locate the centroid of the cross-sectional area of the beam. 1 6 in. 10 in. 8 in.- -8 in.- -1 in. 4+ 1 in. IA 1 in. -X

Two 8kg blocks are attached to a cord that passes over two fixed drums. If 3 = 0.3 at the drums, determine the equilibrium angle the cord makes with the horizontal when a vertical force p = 200N is...

Sij and Tij (a) What property must S ij have if ijk S ij = 0? (b) Let b and y be vectors. The components of the latter are defined by y i = b k T ki where T ij = T ji is an anti-symmetric object....

Without using vector identities, prove that: (a) f (r r) = (r r). (b) [A(r) r] = 0. (c) dQ = (ds )Q where dQ is a differential change in Q and ds is an element of arc length.

The 4-Mg helicopter maneuvers a horizontal turn having a radius of curvature = 400 m. Determine the lift force F L required and the angle of the bank when it is flying horizontally with a constant...

A large roll of paper having a mass of 20 kg and a radius r = 150 mm is resting over the edge of a corner, such that the end of the paper on the roll is attached to the horizontal surface. If the...

A rotating step shaft is loaded as shown, where the forces F A and FB are constant at 600 lbf and 300 lbf, respectively, and the torque T alternates from 0 to 1800 lbf in. The shaft is to be...

Two links AB and DE are connected by a bell crank as shown. Knowing that the tension in link AB is 150 lb, determine (a) The tension in link DE, (b) The reaction at C. 3 in. A B -4 in.. 90 C -6 in.....

A crane column supports a 16-kip load as shown. Replace the load with an equivalent system consisting of an axial force along AB and a couple. A, 5 in. 7 in. B dibo ilbo dip dib bo 16 kips

Knowing that at the instant shown bar AB has a constant angular velocity of 10 rad/s clockwise, determine the angular acceleration of (a) Bar BD, (b) Bar DE. 200 mm B 75 mm D 175 mm 100 mm A Fig....

A frictionless piston-cylinder device contains 10 kg of water at 20C at atmospheric pressure. An external force F is then applied on the piston until the pressure inside the cylinder increases to 100...

An incompressible Newtonian liquid is confined between two concentric circular cylinders of infinite length a solid inner cylinder of radius R i and a hollow, stationary outer cylinder of radius R o...

On doubling the concentration of reactant, the rate of reaction triples. Find the reaction order.

A reaction with stoichiometric equation has the following rate expression What is the rate expression for this reaction if the stoichiometric equation is written as A + 2B = 2R + S? A+B A + B = R + S...

Consider the following three liquid mixtures. A. Water + n-propane B. n-hexane + benzene C. Ortho-xylene + para-xylene Which mixtures, if any, do you expect to behave as an ideal solution and why?...

A shell-and-tube exchanger with two tube passes is used to heat ethanol from 60F to 140F with steam condensing at 230F in the shell. The BWG 14 steel tubes are in. OD. The design overall coefficient...

The double-web girder is constructed from two plywood sheets that are secured to wood members at its top and bottom. If each fastener can support \(600 \mathrm{lb}\) in single shear, determine the...

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...

Calculate the pH when 25.0 mL of 0.020 0 M 2-aminophenol have been titrated with 10.9 mL of 0.015 0 M HClO 4 .

A large piece of dry rock has a mass of 2450 kg and volume of 0.925 m 3 . The specific gravity of the rock mineral is 2.80. Determine the porosity of the rock.

The bulk density of a compacted soil specimen (Gs = 2.70) and its water content are 2060 kg/m 3 and 15.3%, respectively. If the specimen is soaked in a bucket of water for several days until it is...

Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. F = 8 kN F2 = 5 kN 60 45 F = 4 kN

If the roller at A and the pin at B can support a load up to 4 kN and 8 kN, respectively, determine the maximum intensity of the distributed load w, measured in kN/m, so that failure of the supports...

Determine the location of the centroid C for the loop of the lemniscate, r 2 = 2a cos2, (-45 45). 12 = 2a? cos 20

A free-headed drilled shaft is shown in Figure P13.10. Let Q g = 260 kN, M g = 0, = 17.5 kN/m 3 , ' = 35, c' = 0, and E p = 22 10 6 kN/m 2 . Determine a. The ground line deflection, xo b. The...

Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials...

An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces the product in four furnaces. Each furnace is known to have its own unique operating characteristics,...

Air is expanded from 1000 kPa and 600C at the inlet of a steady-flow turbine to 100 kPa and 200C at the outlet. The inlet area and velocity are 0.1 m 2 and 30 m/s, respectively, and the outlet...

Consider the reaction 2H 2 O 2H 2 + O 2 at 4000 K and 10 kPa. Will the amount of hydrogen gas produced be increased when the reaction occurs at 100 kPa rather than 10 kPa?

A mixture of 2 mol of CO 2 and 1 mol of O 2 is heated to 2800 K at a pressure of 4 atm. Determine the equilibrium composition of the mixture, assuming that only CO 2 , CO, O 2 , and O are present.

A 0.40-m 3 insulated pistoncylinder device initially contains 1.3 kg of air at 30C. At this state, the piston is free to move. Now air at 500 kPa and 70C is allowed to enter the cylinder from a...

A two-stage compression refrigeration system with an adiabatic liquid-vapor separation unit like that in Fig. P11 60 uses refrigerant-134a as the working fluid. The system operates the evaporator at...

Name three applications for feedback control systems.