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...

Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) Mg/mm (b) mN/s (c) m Mg

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 bent rod is supported at A, B, and C by smooth journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the force F = 800 N. The bearings are in proper...

The crane supports the load of 800 kg. Determine the reactions at the supports A and B as a function of position d of the trolley. Plot the reactions vs. d for 0.5 m < d < 3 m. 5 m A

The block has a mass of 80 kg and a center of mass at G. Determine the smooth reactions on the supporting platform at A, B, and C. 60 G. B 60 0.3 m -0.8 m

The bar of negligible weight is supported by two springs, each having a stiffness k = 100 N > m. If the springs are originally upstretched, determine the angle the bar makes with the horizontal when...

The cantilevered jib crane is used to support the load of 780 lb. If x = 5, determine the reactions at the supports. Note that the supports are collars that allow the crane to rotate freely about the...

If the beam is horizontal and the springs are upstretched when the load is removed, determine the angle of tilt of the beam when the load is applied. k= 1 kN/m 3 m 600 N/m 3m B kB = 1.5 kN/m D

If the crane has a mass of 800 kg and a center of mass at G, and the maximum rated force at its end is F = 15 kN, determine the reactions at its bearings. The bearing at A is a journal bearing and...

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

The spring has an unstretched length of 0.3 m. Determine the mass m of each uniform bar if = 30 for equilibrium. wwwwwww A C k = 150 N/m 2 m 0 OB

Determine the components of reaction at A and B. 800 N-m 2 m B -2 m 1.5 m 45% 600 N 1.5 m

When the tide water A subsides, the tide gate automatically swings open to drain the marsh B. For the condition of high tide shown, determine the horizontal reactions developed at the hinge C and...

Determine the horizontal and vertical components of force that the pins exert on member ABCD. The pin at C is attached to member ABCD and passes through the smooth slot in member ECF. 1 ft 80 lb F 4...

If the 300-kg drum has a center of mass at point G, determine the horizontal and vertical components of force acting at pin A and the reactions on the smooth pads C and D. The grip at B on member DAB...

A man having a weight of 175 lb attempts to hold himself using one of the two methods shown. Determine the total force he must exert on bar AB in each case and the normal reaction he exerts on the...

The nail cutter consists of the handle and the two cutting blades. Assuming the blades are pin connected at B and the surface at D is smooth, determine the normal force on the fingernail when a force...

Identify the zero-force members in the truss. 1.5 m E A -2 m. 3 kN D B -2m- 'C

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

Determine the centroid (x, ) of the area. 1m -y=x -1m- Prob. F9-1 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

Determine the friction developed between the 50-kg crate and the ground if (a) P = 200 N, and (b) P = 400 N. The coefficients of static and kinetic friction between the crate and the ground are s =...

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.

An airplane lands on the straight runway, originally traveling at 110 ft/s when s = 0. If it is subjected to the decelerations shown, determine the time t' needed to stop the plane and construct the...

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 ride in an amusement park consists of a rotating platform P, having a constant angular velocity P = 1.5 rad/s and four cars, C, mounted on the platform, which have constant angular velocities C/P...

A bowling ball is cast on the "alley" with a backspin of = 10 rad/s while its center O has a forward velocity of V 0 = 8 m/s. Determine the velocity of the contact point A in contact with the alley....

Determine the moment of inertia I z of the frustum of the cone, which has a conical depression. The material has a density of 200 kg/m 3 . 200 mm- 800 mm Z 600 mm 400 mm

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...

In a coal-fired power station, steam (H 2 O) enters the nozzle in a turbine at T 1 = 800 K, P 1 = 2 MPa at negligible velocity, and emerges at high velocity as a liquidvapor mixture having quality x...

Estimate the temperature to which water at a the bottom of a 150 m deep lake would have to be raised before it would begin to boil.

In an adiabatic constant-volume container, a fluid is to be stirred mechanically with a motor providing 40 W of shaft power. How long can this go on if the internal energy of the fluid is not allowed...

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....

Roll up an ohmic sheet to form an infinitely long, origin-centered cylinder of radius a. Cut a narrow slot along the length of the cylinder and insert a line source of EMF so the electrostatic...

The motion actuator for a robotic manipulator consists of a simple pistoncylinder system where the pressure of the gas contained in the cylinder can be controlled by heating or cooling. The moving...

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

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?...

What is the difference between potable and nonpotable water? For what purposes may each be used?

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...

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...

The aqueous decomposition of A produces R as follows: The following results are obtained in a series of steady state runs, all having no R in the feed stream. From this kinetic information, find the...

Determine the shear stress at point C in the T-beam where the internal shear is maximum. Show the result on a volume element at this point. A 20 kN/m 30 kN/m 3 m- 200 mm B -1.5 m- 200 mm 20 mm -20 mm

Substance A in a liquid reacts to produce R and S as follows: A feed (C A0 = 1, C R0 = 0, C S0 = 0) enters two mixed flow reactors in series, ( 1 = 2.5 min, 2 = 5 min). Knowing the composition in...

Select the lightest-weight steel wide-flange beam from Appendix B that will safely support the machine loading shown. The allowable bending stress is \(\sigma_{\text {allow }}=24 \mathrm{ksi}\) and...

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...

Select the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is \(\sigma_{\text {allow }}=22 \mathrm{ksi}\) and the allowable shear...

For the original concrete composite post design of Problem 1.13, assume that the steel rods are made of 4340 steel, and that the rods are to be replacedby IM9 carbon fiber bundles of the same length...

In the mechanism shown in Fig.2.14(a), the crank \(O_{1} A\) rotates at a uniform speed of \(650 \mathrm{rpm}\). Determine the linear velocity of the slider \(C\) and the angular speed of the link...

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...

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...

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

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,...

Two missing values in a randomized block. Suppose that in Problem 4-1 the observations for chemical type 2 and bolt 3 and chemical type 4 and bolt 4 are missing. (a) Analyze the design by iteratively...

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...

Determine the total heat transfer for the reversible process 1-3 shown in Fig. P758. 3 360 55 1 2 S, kJ/K T, C

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...

Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.5. Solve the problem using mesh analysis. + V(1)- 1 H 1 H 10 2 H 3 H vi(1) 12 vi(1) 1F Volt) (a) (b) FIGURE...

Represent the following transfer function in state space. Give your answer in vector-matrix form. s(s + 2) T(s) (s+ 1Xs + 2s + 5)

Given the dc servomotor and load shown in Figure P3.11, represent the system in state space, where the state variables are the armature current, i a , load displacement, L , and load angular...

The velocity of a particle is given by v = 25t 2 80t 200, where v is in feet per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6 seconds of motion and...

Refer to the Journal of Engineering, Computing and Architecture (Vol. 3., 2009) study of cell phone handoff behavior, Exercise 3.15. Recall that the different color codes accessed by two different...

Refer to the IEICE Transactions on Information & Systems (Jan. 2005) study of impedance to leg movement, Exercise 2.46. Recall that Korean engineers attached electrodes to the ankles and knees of...

The sprinter begins from rest at position A and accelerates along the track. If the stationary tracking camera at O is rotating counterclockwise at the rate of 12.5 deg/s when the sprinter passes the...

Motion of the sliding block P in the rotating radial slot is controlled by the power screw as shown. For the instant represented, = 0.1 rad/s, = 0.04 rad /s2, and r = 300 mm. Also, the screw turns...

A skier starts from rest on the 40 slope at time t = 0 and is clocked at t = 2.58 s as he passes a speed checkpoint 20 m down the slope. Determine the coefficient of kinetic friction between the snow...

The collar of mass m is released from rest while in position A and subsequently travels with negligible friction along the vertical-plane circular guide. Determine the normal force (magnitude and...

The system is released from rest with no slack in the cable and with the spring stretched 200 mm. Determine the distance s traveled by the 4-kg cart before it comes to rest (a) If m approaches zero...

Reduce the block diagram shown in Figure P5.9 to a single transfer function, T(s) = C(s)/R(s). Figure P5.9 G1 C(s) R(s) G2 G5 G6 G3 G4 G7

Find the equivalent transfer function, T(s) = C(s)/R(s), for the system shown in Figure P5.3. G1 R(s) + G5 G6 C(s) G2 G3 G4 G7 FIGURE P5.3

Refer to the Journal of Waterway, Port, Coastal, and Ocean Engineering (March/April, 2013) study of coastal sea level rise, Exercise 5.6. Recall that the acceleration Y in sea level rise...

The HIV infection linearized model developed in Problem 84, Chapter 4, can be shown to have the transfer function It is desired to develop a policy for drug delivery to maintain the virus count at...

End A of the slender pole is given a velocity v A to the right along the horizontal surface. Show that the magnitude of the velocity of end B equals v A when the midpoint M of the pole comes in...

The 30,000-lb concrete pipe section is being transported on a flatbed truck. Five inextensible cables are passed across the top of the pipe and tightened securely to the flatbed with an initial...

The system of Prob. 5/101 is repeated here. Crank OA is rotating at a counterclockwise angular rate of 9 rad /s, and this rate is decreasing at 5 rad/s 2 . Determine the angular acceleration a AB of...

An external force F = F 0 sin wt is applied to the cylinder as shown. What value w c of the driving frequency would cause excessively large oscillations of the system? k 2m m YF

The system of Figure P7.12 is to have the following specifications: K v = 20; = 0.7. Find the values of K 1 and K f required for the specifications of the system to be met. O(s) + A(s) K1 s(s + 2)...