Repeat Problem 19 in Chapter 1, using Laplace transforms. Assume zero initial conditions. Data From Problem 19 in Chapter 1: Repeat Problem 18 using the network shown in Figure P1.7. Assume R=1;...

Find the transfer function, G(s) = X 1 (s)/F(s), for the translational mechanical system shown in Figure P2.9. -x(1) 4 N-s/m 5 N/m 5 kg FIGURE P2.9

Repeat Problem 32 using MATLAB. Use one program to do the following: a. Display a root locus and pause. b. Draw a close-up of the root locus where the axes go from -2 to 0 on the real axis and -2 to...

Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.3. 12 12 1 H 22 Vo(f) vi(t) e 2FVo() vi(t) 1H 10 (a) (b) FIGURE P2.3

Show that the system of Figure 3.7 in the text yields a fourth-order transfer function if we relate the displacement of either mass to the applied force, and a third-order one if we relate the...

Find the state-space representation in phase-variable form for each of the systems shown in Figure P3.8. R(s) 100 C(s) s4+ 20s3+ 10s2+ 7s + 100 (a) R(s) 30 C(s) 5+ 8s4 + 9s3 + 6s+ s+ 30 (b) FIGURE...

Repeat Problem 9 using MATLAB. Data From Problem 9: Find the state-space representation in phase-variable form for each of the systems shown in Figure P3.8. R(s) 100 C(s) s4+ 20s3+ 10s2+ 7s + 100 (a)...

Find the capacitor voltage in the network shown in Figure P4.2 if the switch closes at t = 0. Assume zero initial conditions. Also find the time constant, rise time, and settling time for the...

For each of the three unit step responses shown in Figure P4.10, find the transfer function of the system. 0.05 0.1 0.15 0.2 0.25 Time (seconds) (a) 25 20 15 10 2 3 5 Time (seconds) (b) 1.4 1.2 1.0...

For each pair of second-order system specifications that follow,find the location of the second-order pair of poles. a. %OS = 12%; T s = 0:6 second b. %OS = 10%; T p = 5 seconds c. T s = 7 seconds; T...

Five construction companies each offer bids on three distinct Department of Transportation (DOT) contracts. A particular company will be awarded at most one DOT contract. a. How many different ways...

In high-volume machining centers, cutting tools are replaced at regular, heuristically chosen intervals. These intervals are generally untimely, i.e., either the tool is replaced too early or too...

The displacement of a particle which moves along the s-axis is given by s = (2 + 3t)e 0.5t , where s is in meters and t is in seconds. Plot the displacement, velocity, and acceleration versus time...

A car comes to a complete stop from an initial speed of 50 mi/hr in a distance of 100 ft. With the same constant acceleration, what would be the stopping distance s from an initial speed of 70 mi/hr?

The stories of a tall building are uniformly 10 feet in height. A ball A is dropped from the rooftop position shown. Determine the times required for it to pass the 10 feet of the first, tenth, and...

For a certain interval of motion the pin A is forced to move in the fixed parabolic slot by the horizontal slotted arm which is elevated in the y-direction at the constant rate of 3 in. /sec. All...

The 230,000-lb space-shuttle orbiter touches down at about 220 mi/hr. At 200 mi/hr its drag parachute deploys. At 35 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per...

The center of mass G of a high jumper follows the trajectory shown. Determine the component v 0 , measured in the vertical plane of the figure, of his takeoff velocity and angle if the apex of the...

If the launch speed of the golf ball of the previous problem remains v 0 = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin is this...

An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.5g as the empty car passes the bottommost position of the track as shown. If the speed of the...

An overhead view of part of a pinball game is shown. If the plunger imparts a speed of 3 m/s to the ball which travels in the smooth horizontal slot, determine the acceleration a of the ball (a) just...

In the design of a timing mechanism, the motion of pin P in the fixed circular slot is controlled by the guide A, which is being elevated by its lead screw. Guide A starts from rest with pin P at the...

The small block P starts from rest at time t = 0 at point A and moves up the incline with constant acceleration a. Determine r as a function of time. of A -R- Problem 2/157

The disk A rotates about the vertical z-axis with a constant speed = = /3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate = 2/3 rad /s. At time t = 0, both = 0 and = 0....

The car A has a forward speed of 18 km/h and is accelerating at 3 m/s 2 . Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris...

For the cars of Prob. 2 /195, determine the instantaneous values of r and if car A is slowing down at a rate of 1.25 m/s 2 and car B is speeding up at a rate of 2.5 m/s 2 . Refer to the printed...

The 50-kg crate is projected along the floor with an initial speed of 8 m /s at x = 0. The coefficient of kinetic friction is 0.40. Calculate the time required for the crate to come to rest and the...

The coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.75t 2 0.45t 3 and y = 6.32 + 14.65t 2.48t 2 , where x and y are in millimeters and the time t is in...

The 10-Mg truck hauls the 20-Mg trailer. If the unit starts from rest on a level road with a tractive force of 20 kN between the driving wheels of the truck and the road, compute the tension T in the...

A bicyclist finds that she descends the slope 1 = 3 at a certain constant speed with no braking or pedaling required. The slope changes fairly abruptly to 2 at point A. If the bicyclist takes no...

Determine the weight of cylinder B which would cause block A to accelerate (a) 5 ft /sec2 down the incline and (b) 5 ft /sec2 up the incline. Neglect all friction. 100 lb 25 B WB

The two particles of equal mass are joined by a rod of negligible mass. If they are released from rest in the position shown and slide on the smooth guide in the vertical plane, calculate their...

In the design of a conveyor-belt system, small metal blocks are discharged with a velocity of 0.4 m/s onto a ramp by the upper conveyor belt shown. If the coefficient of kinetic friction between the...

In a railroad classification yard, a 68-Mg freight car moving at 0.5 m/s at A encounters a retarder section of track at B which exerts a retarding force of 32 kN on the car in the direction opposite...

The small bodies A and B each of mass m are connected and supported by the pivoted links of negligible mass. If A is released from rest in the position shown, calculate its velocity v A as it crosses...

A particle with a mass of 4 kg has a position vector in meters given by r = 3t 2 i 2tj 3k, where t is the time in seconds. For t = 5 s determine the angular momentum of the particle and the moment...

A quality control engineer samples five from a large lot of manufactured firing pins and checks for defects. Unknown to the inspector, three of the five sampled firing pins are defective. The...

Refer to the Journal of Systems Sciences & Systems Engineering (March, 2013) study of the reliability of a manufacturing system that involves multiple production lines, Exercise 4.6. Consider, again,...

For each of the following transfer functions with zeros, find the component parts of the unit step response: (1) the derivative of the response without a zero and (2) the response without a zero,...

Find the range of gain, K, to ensure stability in the unity feedback system of Figure P6.3 with K(s+ 2) (s2 + 1)(s +4)(s - 1) G(s) = R(s) + E(s) C(s) G(s) FIGURE P6.3

Figure P7.2 shows the ramp input r(t) and the output c(t) of a system. Assuming the outputs steady state can be approximated by a ramp, find a. The steady-state error; b. The steady-state error if...

Find the value of K in the system of Figure P6.10 that will place the closed-loop poles as shown. R(s) K C(s) s+3 ja FIGURE P6.10 Closed-loop system with pole plot

The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft. For given values of , , , r, and d, determine the velocity and acceleration of point P of the...

At time t = 0, the arm is rotating about the fixed z-axis with an angular velocity = 200 rad/s in the direction shown. At that time, a constant angular deceleration begins and the arm comes to a...

The flywheel has a diameter of 600 mm and rotates with increasing speed about its z-axis shaft. When point P on the rim crosses the y-axis with = 90, it has an acceleration given by a = 1.8i 4.8j m...

Derive an expression for the upward velocity v of the car hoist in terms of . The piston rod of the hydraulic cylinder is extending at the rate s. b. 26 b. L

For the instant represented, corner A of the rectangular plate has a velocity v A = 2.8 m/s and the plate has a clockwise angular velocity w = 12 rad/s. Determine the magnitude of the corresponding...

The spoked wheel of radius r is made to roll up the incline by the cord wrapped securely around a shallow groove on its outer rim. For a given cord speed v at point P, determine the velocities of...

The rear driving wheel of a car has a diameter of 26 in. and has an angular speed N of 200 rev/min on an icy road. If the instantaneous center of zero velocity is 4 in. above the point of contact of...

The flexible band F is attached at E to the rotating sector and leads over the guide pulley G. Determine the angular velocities of links AB and BD for the position shown if the band has a speed of 2...

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...

At the instant under consideration, the rod of the hydraulic cylinder is extending at the rate v A = 2 m/s. Determine the corresponding angular velocity w OB of link OB. A VA = 2 m/s 60 180 mm 120 mm...

Finding F values. Find F .05 for an F distribution with: a. Numerator df = 7, denominator df = 25 b. Numerator df = 10, denominator df = 8 c. Numerator df = 30, denominator df = 60 d. Numerator df...

The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass m D . If an input torque M is applied to gear A, what will be the resulting acceleration a of...

A uniform slender rod rests on a car seat as shown. Determine the deceleration a for which the rod will begin to tip forward. Assume that friction at B is sufficient to prevent slipping. Vertical ...

The cars of the roller coaster have a speed v = 25 ft/sec at the instant under consideration. As rider B passes the topmost point, she observes a stationary friend A. What velocity of A does she...

The slotted wheel rolls to the right without slipping, with a constant speed v = 2 ft/sec of its center O. Simultaneously, motion of the sliding block A is controlled by a mechanism not shown so that...

Car B is rounding the curve with a constant speed of 54 km/h, and car A is approaching car B in the intersection with a constant speed of 72 km/ h. Determine the velocity which car A appears to have...

The sector rotates with the indicated angular quantities about a fixed axis through point B. Simultaneously, the particle A moves in the curved slot with constant speed u relative to the sector....

The elements of a power hacksaw are shown in the figure. The saw blade is mounted in a frame which slides along the horizontal guide. If the motor turns the flywheel at a constant counterclockwise...

In a designed experiment, a. What two factors affect the quantity of information? b. How does blocking increase the quantity of information?

Digital versatile disc (DVD) players incorporate several control systems for their operations. The control tasks include (1) keeping the laser beam focused on the disc surface, (2) fast track...

Different signal-flow graphs can represent the same system. Which form facilitates the calculation of the variable gains during controller design?

Use LabVIEW with the Control Design and Simulation Module and MathScript RT Module to do the following: Modify the CDEx Nyquist Analysis.vi to obtain the range of K for stability using the Nyquist...

The mechanism shown oscillates in the vertical plane about the pivot O. The springs of equal stiffness k are both compressed in the equilibrium position = 0. Determine an expression for the period ...

Determine the amplitude of vertical vibration of the car as it travels at a velocity v = 40 km/h over the wavy road whose contour may be expressed as a sine or cosine function with a double amplitude...

The 5-kg bar is released from rest while in the position shown and its end rollers travel in the vertical-plane slot shown. If the speed of roller A is 3.25 m/s as it passes point C, determine the...

An analyst tested the null hypothesis 20 against the alternative hypothesis that < 20. The analyst reported a p-value of .06. What is the smallest value of for which the null hypothesis would be...

The small block of mass m slides along the radial slot of the disk while the disk rotates in the horizontal plane about its center O. The block is released from rest relative to the disk and moves...

When asked, How much time will you require to complete this task, cognitive theory posits that people (e.g., an electrical engineer) will typically underestimate the time required. Would the opposite...

Find the total steady-state error due to a unit step input and a unit step disturbance in the system of Figure P7.14. D(s) R(s) + 1 100 C(s) s+5 s+2 FIGURE P7.14

Which of the following is the formula for the gage pressure within a very small spherical droplet of water: (a) p = /d, (b) p = 4/d, (c) p = 8/d?

For a given Francis turbine, 1 = 60, 2 = 90, r1 = 5 m, r 2 = 3 m, and B = 1 m. Th e discharge is 126 m 3 /s, and the rotational speed is 60 rpm. Assume T = 10C. a. What should 1 be for a non...

This nozzle bends the flow from vertically upward to 30 with the horizontal and discharges water ( = 62.4 lbf/ft 3 ) at a speed of V = 130 ft/s. The volume within the nozzle itself is 1.8 ft 3 , and...

The flow-metering device shown consists of a stagnation probe at station 2 and a static pressure tap at station 1. The velocity at station 2 is 1.5 times that at station 1. Air with a density of 1.2...

The rectangular channel shown is 1.2 m wide. What is the discharge in the channel? Vertical depth = 1m 1/3 u = y"3 m/s Water 30

Water enters the lock of a ship canal through 180 ports, each port having a 2 ft by 2 ft cross section. The lock is 900 ft long and 105 ft wide. The lock is designed so that the water surface in it...

Is the tank in the figure filling or emptying? At what rate is the water level rising or falling in the tank? 6 ft diameter 3 in. diameter 4 in. diameter V= 4 ft/s Water V= 10 ft/s 6 in, diameter V =...

In the flow through an orifice shown in the diagram, theflow goes through a minimum area downstream of the orifice. This is called the vena contracta. The ratio of the flow area atthe vena contracta...

A boat is held stationary by a cable attached to a pier. A firehose directs a spray of 5C water at a speed of V = 50 m/s. If the allowable load on the cable is 5 kN, calculate the mass flow rate of...

The cube shown weighing 110 N and measuring 39 cm on a side is allowed to slide down an inclined surface on which there is a film of oil having a viscosity of 102 N s /m 2 . What is the velocity of...

A rotameter operates by aerodynamic suspension of a weight in a tapered tube. The scale on the side of the rotameter is calibrated in scfm of airthat is, cubic feet per minute at standard conditions...

Determine the standard heat of each of the following reactions at 25C: (a) N 2 (g) + 3H 2 (g) 2NH 3 (g) (b) 4NH 3 (g) + 5O 2 (g) 4NO(g) + 6H 2 O(g) (c) 3NO 2 (g) + H 2 O(l) 2HNO 3 (l) + NO(g) (d)...

Rationalize the following rule of thumb, appropriate for an equimolar binary liquid mixture: GE (equimolar) RT 1

Four components A, B, C, and D are placed in parallel to make a subassembly in a circuit board. The reliabilities of A, B, C, and D are 0.93, 0.88, 0.95, and 0.92, respectively. Find the reliability...

Consider a chloroform(1)/tetrahydrofuran(2) mixture with x 1 = 0.80, initially at 70C and 120 kPa. Describe the evolution of phases and phase compositions as the temperature is gradually increased to...

A remote control unit has 40 components in series. The reliability of each component is 0.9994. What is the reliability of the remote control unit? If a redesign has 25 components in series, what is...

An electronic component in a video recorder has an exponential time-to-failure distribution. What is the minimum mean time to failure of the component if it is to have a probability of 0.92 of...

Consult your reference library and find another explanation of hole versus electron flow. Using both descriptions describe in your own words the process of hole conduction.

Consider a binary liquid mixture for which the excess Gibbs energy is given by G E /RT = Ax 1 x 2 . What is the minimum value of A for which liquid/liquid equilibrium is possible? To the xy diagram...

Determine the output voltage for the circuit of Fig. 11.52. Fig. 11.52 330 k2 470 k2 33 ka V1 12 mV 47 k2 V. 47 ka 18 mV

What is the composition of the azeotrope for the ethanol(1)/ethyl acetate(2) system? Would this be called a high-boiling or low-boiling azeotrope? Problems 12.3 through 12.8 refer to the Pxy diagram...

a. Using the characteristics of Fig. 3.8, determine the resulting collector current if I E = 3.5 mA and V CB =10 V. b. Repeat part (a) for I E = 3.5 mA and V CB = 20 V. c. How have the changes in V...

a. Find the value of R S to obtain a voltage gain of 2 for the network of Fig. 8.74 using r d = . b. Repeat part (a) with r d =30 k . What was the impact of the change in r d on the gain and the...

Determine and V G for a PUT with V BB = 20 V and R B1 = 3R B2 .

Repeat Problem 26 if rd = 20 k and compare results. Problem 26 Repeat Problem 25 with the capacitor C S removed and compare results. Problem 25 Determine Z i , Z o , and V o for the network of Fig....

Using the characteristics of Fig. 3.13: a. Find the value of IC corresponding to V BE =750 mV and V CE = 4 V. b. Find the value of V CE and V BE corresponding to I C = 3.5 mA and I B =30 mA. tle (mA)...

For the network of Fig. 7.86 , V D = 12 V. Determine: a. I D . b. V S and V DS . c. V G and V GS . d. V P . o 20 V 2.2 k2 910 k2 Ipss = 10 mA %3D Vp = -3.5 V Vose 110 k2 1.1 k2 FIG. 7.85

Find V S for the network of Fig. 7.84 . 20 V 2.2 k2 Ipss = 4.5 mA Vp =-5 V Vps 0.68 k2 -4 V FIG. 7.83

a. Determine V DS for V GS = 0 V and I D = 6 mA using the characteristics of Fig. 6.11 . Fig. 6.11 b. Using the results of part (a), calculate the resistance of the JFET for the region I D = 0 to 6...