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...

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 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...

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...

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...

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

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...

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

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...

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...

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...

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 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

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...

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)...

Determine the standard heat for one of the reactions of Prob. 4.23: part (a) at 600C, part (b) at 50C, part (f) at 650C, part (i) at 700C, part (j) at 590(F), part (l) at 770(F), part (m) at 850 K,...

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...

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 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...

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

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...

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...

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

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...

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...

For the network of Fig. 5.166 , determine A v . 8 V 3.6 k2 +6 V -10 V B= 75 Sas =5 uS 6.8 k2 4.7 k2 3.9 k2 a = 0.998 Bos = 10 S -5 V FIG. 5.165 FIG. 5.166

For the network of Fig. 5.163 : a. Determine Z i and Z o . b. Find A v . c. Calculate V o if Vi = 1 mV. Fig. 5.163 12 V B = 120 r, = 40 k2 Z 390 k2 5.6 k2 -8 V FIG. 5.163

For the network of Fig. 5.157 : a. Determine r e . b. Find the dc voltages V B , V CB , and V CE . c. Determine Z i and Z o . d. Calculate A v = V o > V i . V Z. B= 70 ro = 60 kn 24 V 3.3 kn 2.2 k 12...

A 50-cm 30-cm 20-cm block weighing 150 N is to be moved at a constant velocity of 1.10 m/s on an inclined surface with a friction coefficient of 0.27. (a) Determine the force F that needs to be...

A 200-kg granite rock ( = 2700 kg/m 3 ) is dropped into a lake. A man dives in and tries to lift the rock. Determine how much force the man needs to apply to lift it from the bottom of the lake. Do...

A 78-percent-efficient 12-hp pump is pumping water from a lake to a nearby pool at a rate of 1.2 ft 3 /s through a constant- diameter pipe. The free surface of the pool is 32 ft above that of the...

A 2.4-in-diameter smooth ball rotating at 500 rpm is dropped in a water stream at 60F flowing at 4 ft/s. Determine the lift and the drag force acting on the ball when it is first dropped in the water.

A 7-ft-diameter spherical tank completely submerged in fresh water is being towed by a ship at 8 ft/s. Assuming turbulent flow, determine the required towing power.

The in situ moisture content of a soil is 18%, and the moist unit weight is 105 lb/ft 3 . The specific gravity of soil solids is 2.75. This soil is to be excavated and transported to a construction...

The forming section of a plastics plant puts out a continuous sheet of plastic that is 1.2 m wide and 2 mm thick at a rate of 18 m/min. The sheet is subjected to airflow at a velocity of 4 m/s on...

In the metal processing industry, heat treatment of metals is commonly done using electrically heated draw batch furnaces. Consider a furnace that is situated in a room with surrounding air...

A turbine blade made of a metal alloy (k=17 W/mK) has a length of 5.3 cm, a perimeter of 11 cm, and a cross-sectional area of 5.13 cm 2 . The turbine blade is exposed to hot gas from the combustion...

For the common-base network of Fig. 4.138 Fig. 4.143 a. Using the information provided determines the value of R C . b. Find the currents I B and I E . c. Determine the voltages V BC and V CE . 9.1 ...

Refer to Figure 12.43. Given that B = 1 m, L = 3 m, and Q = 110 kN, calculate the primary consolidation settlement of the foundation. 1.5 m 1.5 m 2.5 m FIGURE 12.43 Load = Q BXL Sand Clay (normally...

An earth dam section is shown in Figure 8.33. Determine the rate of seepage through the earth dam using Pavlovskys solution. Use k = 4 X 10 -5 mm/s. 3 m 32 m FIGURE 8.33 2.0 1 7 m Impermeable layer...

A zinc alloy has a SDAS of 0.01 cm and m = 0.40. What is the solidification time?

What is the tempering of steels? Why is tempering necessary?

Learning math Developers of a new math curriculum called Accelerated Math compared performances of students taught by their system with control groups of students in the same schools who were taught...

Where is B/t nonzero, in Figure 7.21(b) ?Exploit the analogy between Faradays law and Ampres law to sketch (qualitatively) the electric field. B (in) (a) B (in) (b) changing magnetic field FIGURE...

Two positive point charges, qA and qB (masses mA and mB) are at rest, held together by a massless string of length a. Now the string is cut, and the particles fly off in opposite directions. How fast...

A magnetic disk drive requires a motor to position a read/write head over tracks of data on a spinning disk, as shown in Figure E4.4. The motor and head may be represented by the transfer function...

Resolve the force F 2 into components along the and axes and determine the magnitudes of the components. 75 30 30 F = 6 kN V F = 4 kN

Determine the magnitude and direction of the resultant force. 250 N T 30 400 N 300 N X

Repeat 1.3-10 but use the method of sections to find member forces in AB and DC. (a) Find reaction force components B x , Bz , and O z . (b) Find the axial force in truss member AC. Problem 1.3-10...

The 80-ft-long cable is attached to the boom at A. If x = 60 ft. determine the coordinates y and z to the end of cable B. Take z = 3y. A Z B Probs. 2-93/94 -y

A sandwich beam having steel faces enclosing a plastic core is subjected to a bending moment M = 5 kN m. The thickness of each steel face is t = 3 mm with a modulus of elasticity E s = 200 GPa. The...

The 500-lb force is to be resolved into two components acting along the axis of the struts AB and AC. If the component of force along AC is required to be 300 lb, directed from A to C. determine the...

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. X CGS 3 ft N 2 ft 3 ft- 36% B...

The hold-down clamp exerts a compressive force of 400 N on the wood block at C. If the clamp is loosely bolted to the bench using two symmetrically placed bolts B, one of which is shown, determine...

Determine the moment of force F about an axis extending between O and A. Express the result as a Cartesian vector. X 0.6 m N 0.8 m F = {80i-40j - 120k} N 0.3 m -y

Determine the magnitude of the equivalent resultant force of the distributed loading and specify its location on the beam measured from point A. -4.5 ft- 2 kip/ft -6 ft- 1.5 kip/ft

Replace the force system acting on the beam by an equivalent resultant force and couple moment at point A. A B 30 in. 30 250 lb 12 in. to 16 in. 3 in. -10 in.- 14 in. 45 260 lb 13 12 5 300 lb

Determine the force required to hold the 50-kg mass in equilibrium. B C A B P 191

Determine the components of reaction E. A E -1.5 m- 4 kN/m D -1.5 m- Prob. F6-23 B 2m C 5 kN

Determine the zero-force members in the Pratt roof truss. Explain your answers using appropriate joint free-body diagrams. A B 300 N C 400 N D L K J E F I H 12 m, 6 @ 2 m- 3 m

Determine the greatest load P that can be applied to the truss so that none of the members are subjected to a force exceeding either 2 kN in tension or 1.5 kN in compression. A C 60 60 -3 m- Prob....

Determine the force in each member of the truss and state if the members are in tension or compression. Set P 1 = 200 lb, P 2 = 500 lb. 4 ft A -3 ft- B P - P -4 ft-

Determine the moment of each force about point A. Add these moments and calculate the magnitude and coordinate direction angles of the resultant moment. X 0.8 m F = {30i+20j - 30k} N A 1.20 m 0.4 m y...

Determine the moment about point O of each force acting on the pipe assembly. Add these moments and calculate the magnitude and coordinate direction angles of the resultant moment. 0.8 m Z F = {30i +...