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...

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 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...

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 man pulls himself up the 15 incline by the method shown. If the combined mass of the man and cart is 100 kg, determine the acceleration of the cart if the man exerts a pull of 175 N on the rope....

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...

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...

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)...

What is the approximate mass in units of slugs for a. A 2-liter bottle of water? b. A typical adult male? c. A typical automobile?

Apply the grid method to calculate the cost in U.S. dollars to operate a pump for one year. Th e pump power is 20 hp. The pump operates for 20 hr/day, and electricity costs $0.10 per kWh.

This problem involves a cylinder falling inside a pipe that is filled with oil, as depicted in the figure. The small space between the cylinder and the pipe is lubricated with an oil film that has...

If for a binary solution one starts with an expression for M (or M R or M E ) as a function of x 1 and applies Eqs. (10.15) and (10.16) to find M 1 and M 2 (or M R 1 and M R 2 or M E 1 and M E 2 )...

Consider a binary mixture for which the excess Gibbs energy is given by G E /RT = 2.1x 1 x 2 (x 1 + 2x 2 ). For each of the following overall compositions, determine whether one or two liquid phases...

A room in the lower level of a cruise ship has a 40-cm-diameter circular window. If the midpoint of the window is 2 m below the water surface, determine the hydrostatic force acting on the window,...

Determine the magnitude and coordinate direction angles of the resultant force acting on the bracket. X N 45 60 F = 450 N 45. 30 F = 600 N -y

Determine the resultant of the two forces and express the result as a Cartesian vector. x F= 180 lb 60 60 24. 135 25 F = 50 lb

Express the following vectors in rectangular coordinates: (a) A = sin a + cos a 2za z (b) B = 4r cos a r + r a

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...

Replace the loading by an equivalent resultant force and specify its location on the beam, measured from A. W 2 kN/m -4 m- B -2m- 5 kN/m X

The weights of the various components of the truck are shown. Replace this system of forces by an equivalent resultant force and specify its location measured from B. B 3 ft 3500 lb 8 5500 lb A -14...

The pipe assembly is subjected to the 80-N force. Determine the moment of this force about point A. x 200 mm 30 N F = 80 N 400 mm 40 250 mm 300 mm 200 mm y

Locate the centroid, y, and determine the orientation of the principal centroidal axes for the composite area. What are the moments of inertia with respect to these axes? -8 in.. 2 in. 2 in. + 8 in.....

If couple forces of F = 10 lb are applied perpendicular to the lever of the clamp at A and B, determine the clamping force on the boards. The single square-threaded screw of the clamp has a mean...

The hand clamp is constructed using a square-threaded screw having a mean diameter of 36 mm, a lead of 4 mm, and a coefficient of static friction at the screw of s = 0.3. If the clamping force in...

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

A vector function Z(r) satisfies Z = 0 and Z = 0 everywhere in a simply-connected volume V bounded by a surface S. Modify the proof of the Helmholtz theorem in the text and show that Z(r) can be...

Evaluate the following expressions which exploit the Einstein summation convention. (a). ii. (b). ij ijk. (c). ijk jk. (d). ijk ijk.

Find the electric dipole moment of: (a) A ring with charge per unit length = 0 cos where is the angular variable in cylindrical coordinates. (b) A sphere with charge per unit areas = 0 cos ...

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

By modern standards, the shaft design of Problem 5-76 is poor because it is so long. Suppose it is redesigned by halving the length dimensions. Using the same material and design factor as in Problem...

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...

(a) Show that the magnetic dipole moment of a magnetized body can be written where (r) = M(r) is the density of fictitious magnetic charge.(b) Let B 1 and B 2 be the magnetic fields produced by...

Show that the following scheme proposed by R. Ogg, J. Chem. Phys., 15,337 (1947) is consistent with, and can explain, the observed first-order decomposition of N 2 0 5 . k NO5NO + NO** k NO NO* + NO...

How much would you need to save annually to be willing to invest $1.75 million in a process improvement? The internal hurdle rate for process improvements is 18% before taxes over eight years.

To examine this issue, imagine that banks can charge any borrower 150 basis points above the interest rate at which the bank would break even (in an expected value sense) on that borrower. This is a...

Repeat Example 9.2, but with a feed pressure of 5.0 MPa. Compare your results to those obtained at a feed pressure of 1.0 \(\mathrm{MPa}\). Data From Example 9.2:- Air can be separated into...

Fill in the blanks. (a) If you double the frequency of electromagnetic radiation, you __________ the energy. (b) If you double the wavelength, you _________ the energy. (c) If you double the...

The absorbance of a 2.31 10 -5 M solution of a compound is 0.822 at a wavelength of 266 nm in a 1.00-cm cell. Calculate the molar absorptivity at 266 nm.

For each of the following systems, give two examples of how a mechanical engineer would be involved in its manufacture. (a) Graphite-epoxy skis, tennis racket, or golf club (b) Elevator (c) Blu-ray...

One U.S. gallon is equivalent to 0.1337 ft 3 , 1 ft is equivalent to 0.3048 m, and 1000 L are equivalent to 1 m 3 . By using those definitions, determine the conversion factor between gallons and...

A robotic-wheeled vehicle that contains science instruments is used to study the geology of Mars. The rover weighs 408 lb on Earth. (a) In the USCS dimensions of slugs and lbm, what is the rovers...

A 1-Mg container hangs from a 15-mm-diameter steel cable. What is the stress in the cable?

A two-tier system to repair bridge infrastructures is supported by two steel cables for each platform (Figure P5.15). All the support cables have a diameter of 0.50 in. Assume the applied loads are...

The Boeing 787 Dreamliner is billed to be 20% more fuel efficient than the comparable Boeing 767 and will fly at Mach 0.85. The midsize Boeing 767 has a range of 12,000 km, a fuel capacity of 90,000...

A plastic pipe carries deionized water in a microelectronics clean room, and one end of it is capped (Figure P5.25). The water pressure is p 0 = 50 psi, and the cap is attached to the end of the pipe...

A 500 m long levee made of compacted clay impounds water in a reservoir as shown in Figure P2.8. There is a 1 m thick (measured in the direction perpendicular to the seam) sand seam continuing along...

Express the force F in Cartesian vector form if it acts at the midpoint B of the rod. A 4 m B 4 m F = 600 N 3 m 6 m D

For the following cases, determine the allowable gross vertical load bearing capacity of the foundation. Use Terzaghis equation and assume general shear failure in soil. Use F S = 4. Part D; c'...

A square foundation is shown in Figure P6.19. Use FS = 6, and determine the size of the foundation. Use Prakash and Saran's method [Eq. (6.59)]. Figure P6.19. 450 kN 70 kN-m y = 16 kN/m3 c' = 0 o'=...

In Problem 7.3, if no bedrock was present for at least 4 m below the foundation, determine the ultimate bearing capacity. Problem 7.3 A 1.5 m 2.0 m rectangular foundation is placed at 1.0 m depth in...

Determine the force in members CD, CJ, and KJ and state if these members are in tension or compression. 6 kN 6 kN 6 kN 6 kN 6 kN K 3 m B C DE F 12 m, 6 @ 2 m

Determine the maximum force P the connection can support so that no slipping occurs between the plates. There are four bolts used for the connection and each is tightened so that it is subjected to a...

Figure P 12.37 shows a group pile in clay. Determine the consolidation settlement of the group. Use the 2:1 method to estimate the average effective stress in the clay layers. Figure P 12.37 1335 kN...

The relay regulates voltage and current. Determine the force in the spring CD, which has a stiffness of k 120 N m, so that it will allow the armature to make contact atA in figure (a) with a vertical...

The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is = 3 psi. A random sample of four specimens is...

For Fig. A151 , let = 2 in, d = 0.3 in, and estimate Kt. Use 1/4 symmetry and 1/8-inthick 2-D elements. 3.0 d 2.8 F 2.6 K, 2.4 2.2 2.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 dhw

For Fig. A153 , let = 1.5 in, d = 1.0 in, r = 0.10 in, and estimate Kt. Use 1/4 symmetry and 1/8-in-thick 2-D elements. 3.0 wld = 3 F 2.6 1.5 2.2 1.2 K, 1.1 1.8 1.05 1.4 1.0 0.05 0.10 0.15 0.20 0.25...

A construction crane lifts a prestressed concrete beam weighing 3 short tons from the ground to the top of piers that are 24 ft above the ground. Determine the amount of work done considering (a) The...

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...

The yield of a chemical process was measured using five batches of raw material, five acid concentrations, five standing times (A, B, C, D, E), and five catalyst concentrations (, , , , ). The...

In a process development study on yield, four factors were studied, each at two levels: time (A), concentration (B), pressure (C), and temperature (D). A single replicate of a 2 4 design was run, and...

A chemical plant produces oxygen by liquifying air and separating it into its component gases by fractional distillation. The purity of the oxygen is a function of the main con-denser temperature and...

Repeat Prob. 51 by first plotting the failure loci in the A , B plane to scale; then, for each stress state, plot the load line and by graphical measurement estimate the factors of safety. A...

The air in a house is at 25C and 65 percent relative humidity. Now the air is cooled at constant pressure. The temperature at which the moisture in the air will start condensing is (a) 7.4C (b) 16.3C...

Air enters an adiabatic nozzle steadily at 300 kPa, 200C, and 45 m/s and leaves at 100 kPa and 180 m/s. The inlet area of the nozzle is 110 cm 2 . Determine (a) The mass flow rate through the nozzle...

A hot-water stream at 80C enters a mixing chamber with a mass flow rate of 0.5 kg/s where it is mixed with a stream of cold water at 20C. If it is desired that the mixture leave the chamber at 42C,...

The adiabatic compressor of a refrigeration system compresses R-134a from a saturated vapor at 160 kPa to 800 kPa and 50C. What is the minimum power required by this compressor when its mass flow...

For the motor, load, and torque-speed curve shown in Figure P2.30, find the transfer function, G(s) = L (s)/E a (s). Ra N = 50 ea(t) J = 4 kg-m2 D = 8 N-m-s/rad N2 = 150 = 36 kg-m D2 = 36 N-m-s/rad...

For the rotational system shown in Figure P2.25, write the equations of motion from which the transfer function, G(s) = 1 (s)/T(s), can be found. Figure P2.25 T(t) 0,(1) N J. K D N2 N3 J2 N4 JL. J4...

Find the transfer function, G(s) = X 2 (s)/F(s), for the translational mechanical network shown in Figure P2.10. X(1) X(1) 1 N/m ft) 1 kg 1 N-s/m 1 kg Frictionless" FIGURE P2.10

What is required to represent a system in state space?

For each system shown in Figure P3.9, write the state equations and the output equation for the phase-variable representation. R(s) 8s + 10 C(s) s4 + 5s + s2 + 5s + 13 (a) R(s) C(s) s4+ 2s3+ 12s2+ 7s...

Solve for x(t) in the system shown in Figure P4.5 if f (t) is a unit step. x(t) M = 2 kg Ks K, = 6 N/m fy = 2 N-s/m f(1) = u(1)N 000 M f(t) FIGURE P4.5

Derive the unit step response for each transfer function in Example 4.8. Data From Example 4.8: Find the step response of each of the transfer functions shown in Eqs. (4.62) through (4.64) and...

With what minimum horizontal velocity u can a boy throw a rock at A and have it just clear the obstruction at B? 40 m A B 26 m 16 m Problem 2/64

In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 12 ft /sec. If the shooting guard is to catch the...

Determine the maximum speed for each car if the normal acceleration is limited to 0.88g. The roadway is unbanked and level. 21 m 16 m Problem 2/100

A 60-kg woman holds a 9-kg package as she stands within an elevator which briefly accelerates upward at a rate of g /4. Determine the force R which the elevator floor exerts on her feet and the...

The 4-lb collar is released from rest against the light elastic spring, which has a stiffness of 10 lb /in. and has been compressed a distance of 6 in. Determine the acceleration a of the collar as a...

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

The two particles of mass m and 2m, respectively, are connected by a rigid rod of negligible mass and slide with negligible friction in a circular path of radius r on the inside of the vertical...

A railroad car of mass m and initial speed v collides with and becomes coupled with the two identical cars. Compute the final speed v of the group of three cars and the fractional loss n of energy if...

The small particle of mass m and its restraining cord are spinning with an angular velocity on the horizontal surface of a smooth disk, shown in section. As the force F is slightly relaxed, r...

The ball A of mass 10 kg is attached to the light rod of length l = 0.8 m. The mass of the carriage alone is 250 kg, and it moves with an acceleration a O as shown. If = 3 rad/s when = 90, fi nd...

Given the block diagram of a system shown in Figure P5.8, find the transfer function G(s) = 22 (s)/ 11 (s). O1 (s) +7 021 (s) G|(s) G2(s) G3(8) G-(s) O12 (s) + O22 (s) G4(s) G5(3) G6(s) FIGURE P5.8

In the Journal of Agricultural, Biological and Environmental Sciences (Sept., 2000), researchers evaluated the risk posed by hazardous pollutants using an ecotoxicological survival model. For one...

Find the closed-loop transfer function, T(s) = C(s)/R(s) for the system shown in Figure P5.2, using block diagram reduction. H1 R(s) GI G2 C3 C(s) FIGURE P5.2

Using Masons rule, find the transfer function, T(s) = C(s)/R(s), for the system represented in Figure P5.22. G|(s) G(s) G3(s) G,(s) Rs) C(s) -1 -1 -1 FIGURE P5.22

Given the system represented in state space as follows: convert the system to one where the new state vector, z, is -1 -7 6 -5 -8 4 8 x+ -7r 4 7 -8 y = [-9 -9 -8] x