Locate the centroid (x,y) of the shaded area. y 1 in. 3 in. 3 in- -3 in.-

Find the transfer function, G(s) = 2 (s)/T(s), for the rotational mechanical system shown in Figure P2.22. 500 N-m-s/rad N3 = 25 100 kg-m? 3 kg-m? N1 = 5 300 N-m/rad 3 N-m/rad N2 = 50 150 kg-m?

Find the transfer function, G(s) = 4 (s)/T(s), for the rotational system shown in Figure P2.23. O0) 26 N-m-s/rad N1 = 26 N4 = 120 N2 = 110 N3 = 23 2 N-m/rad FIGURE P2.23

Reduce the block diagram shown in Figure P5.1 to a single transfer function, T(s) = C(s)/R(s) Use the following methods: a. Block diagram reduction b. MATLAB R(s) + 50 C(s) s+1 2 2 FIGURE P5.1

At a football tryout, a player runs a 40-yard dash in 4.25 seconds. If he reaches his maximum speed at the 16-yard mark with a constant acceleration and then maintains that speed for the remainder of...

For the rotational system shown in Figure P2.24, find the transfer function, G(s) = L (s)/T(s). Figure P2.24 2 N-m-s/rad 2 N-m/rad N2 = 20 A 1 kg-m2 E0000 N3 = 40 N1 = 5 N4= 10 0.02 N-m-s/rad

Determine the force in each member of the space truss and state if the members are in tension or compression. The support reaction at E acts along member EB. Why? 2 m. E Co B 5 m 3 m 3 m 4 m 6 KN

A column foundation (Figure P6.9) is 3 m 2 m in plan. Given: D f = 1.5 m, ' = 25, c' = 70 kN/m 2 . Using Eq. (6.28) and FS = 3, determine the net allowable load [see Eq. (6.24)] the foundation could...

For each of the rotational mechanical systems shown in Figure P2.17, write, but do not solve, the equations of motion. 0,(1) 8 N-m-s/rad FO s kg-m? 1 N-m-s/rad T(t) 0,(1) 3 kg-m2 3 N-m/rad 9 N-m/rad...

The spring of constant k = 200 N/ m is attached to both the support and the 2-kg cylinder, which slides freely on the horizontal guide. If a constant 10-N force is applied to the cylinder at time t =...

During a baseball practice session, the cutoff man A executes a throw to the third baseman B. If the initial speed of the baseball is v 0 = 130 ft/sec, what launch angle is best if the ball is to...

A wad of clay of mass m 1 with an initial horizontal velocity v 1 hits and adheres to the massless rigid bar which supports the body of mass m 2 , which can be assumed to be a particle. The pendulum...

An eccentrically loaded foundation is shown in Figure P6.11. Use FS of 4 and determine the maximum allowable load that the foundation can carry. Use Meyerhofs effective area method. Figure P6.11....

A 2 m 3 m spread footing placed at a depth of 2 m carries a vertical load of 3000 kN and a moment of 300 kN m, as shown in Figure P6.14. Determine the factor of safety using Meyerhofs effective...

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

A placekicker is attempting to make a 64-yard field goal. If the launch angle of the football is 40, what is the minimum initial speed u which will allow the kicker to succeed? 10 64 yd- Not to scale...

The 100-lb cylinder rests between the two inclined planes. When P = 15 lb, the cylinder is on the verge of impending motion. Determine the coefficient of static friction between the surfaces of...

As part of a circus performance, a man is attempting to throw a dart into an apple which is dropped from an overhead platform. Upon release of the apple, the man has a reflex delay of 215...

Two cars travel at constant speeds through a curved portion of highway. If the front ends of both cars cross line CC at the same instant, and each driver minimizes his or her time in the curve,...

The drag force exerted on a car by air depends on a dimensionless drag coefficient, the density of air, the car velocity, and the frontal area of the car. That is, F D = F D (C drag , A front , , V)....

For each system shown in Figure P8.6, make an accurate plot of the root locus and find the following: a. The breakaway and break-in points b. The range of K to keep the system stable c. The value of...

The gate shown is rectangular and has dimensions height h = 6 m by width b = 4 m. The hinge is d = 3 m below the water surface. What is the force at point A? Neglect the weight of the gate. d Hinge...

During a pregame warmup period, two basketballs collide above the hoop when in the positions shown. Just before impact, ball 1 has a velocity v 1 which makes a 30 angle with the horizontal. If the...

The scrumptious brownie experiment. The author is an engineer by training and a firm believer in learning by doing. I have taught experimental design for many years to a wide variety of audiences and...

Determine the speed which the 630-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force exerted on the bobsled by the track. 30 G...

The soil profile at a site is shown in Figure P2.13. The moist and saturated unit weights of the sand are 17.0 kN/m 3 and 20.0 kN/m 3 , respectively. A soil specimen was taken from the middle of the...

The 3-kg block A is released from rest in the 60 position shown and subsequently strikes the 1-kg cart B. If the coefficient of restitution for the collision is e = 0.7, determine the maximum...

For the system shown in Figure P4.8, a step torque is applied at 1 (t). Find: a. The transfer function, G(s) = 2 (s)/T(s) b. The percent overshoot, settling time, and peak time for 2 (t). ff 2...

For one of the binary systems listed in Table 13.10, based on Eq. (13.19) and the Wilson equation, make the following calculations: (a) BUBL P : t = 60C, x 1 = 0.3. (b) DEW P : t = 60C, y 1 = 0.3....

This dome (hemisphere) is located below the water surface as shown. Determine the magnitude and sign of the force components needed to hold the dome in place and the line of action of the horizontal...

A 48.0 wt% solution of HBr in water has a density of 1.50 g/mL. (a) Find the formal concentration of HBr. (b) What mass of solution contains 36.0 g of HBr? (c) What volume of solution contains 233...

Determine the force P that must be applied perpendicular to the handle in order to hold the mechanism in equilibrium for any angle of rod CD. There is a couple moment M applied to the link BA. A...

The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC. Determine the components of reaction at A, the tension in the cable, and the normal reaction at B...

Afence around a eld is shaped as shown in Figure P25. It consists of a rectangle of length L and width W and a right triangle that is symmetric about the central horizontal axis of the rectangle....

Semi-xylenol orange is a yellow compound at pH 5.9 but turns red when it reacts with Pb 2+ . A 2.025-mL sample of semixylenol orange at pH 5.9 was titrated with 7.515 10 -4 M Pb(NO 3 ) 2 , with the...

Determine the hydrostatic force F on the triangular gate, which is hinged at the bottom edge and held by the reaction RT at the upper corner. Express F in terms of , h, and W. Also determine the...

Determine the magnitude of the resultant force F R = F 1 + F 2 and its orientation , measured counterclockwise from the positive x axis. F = 260 lb 45 F=310 lb 12 5 13 y X

The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were (a) Is there a significant difference between the means of the population of...

Steam enters a turbine at 9 MPa, 600C, and 60 m/s and leaves at 20 kPa and 90 m/s with a moisture content of 5 percent. The turbine is not adequately insulated, and it estimated that heat is lost...

Steel is normalized by heating above the critical temperature, soaking, and then air cooling. This process increases the strength of the steel, refines the grain, and homogenizes the structure. An...

Draw the free-body diagram for the following problems. a) The beam in Prob. 515. b) The linkage in Prob. 516. c) The frame in Prob. 517. d) The beam in Prob. 518. -8 m- 75 N/m 800 Nm

The system is released from rest with the spring initially stretched 25 mm. Calculate the velocity v of the 60-kg cart after it has moved 100 mm down the incline. Also determine the maximum distance...

Calculate the moment of inertia of the solid steel semicylinder about the x-x axis and about the parallel x 0 -x 0 axis. (See Table D/1 for the density of steel.) 100 mm Ox 60 mm 60 mm

At time t = 0, the baseball player releases a ball with the initial conditions shown in the figure. Determine the quantities r, r, r, , , and , all relative to the x-y coordinate system shown, at...

A company wants to locate a distribution center that will serve six of its major customers in a 30 30 mi area. The locations of the customers relative to the southwest corner of the area are given...

A semiconductor manufacturer has developed three different methods for reducing particle counts on wafers. All three methods are tested on five wafers and the after-treatment particle count obtained....

The 50-kg wheel is a solid circular disk which rolls on the horizontal plane in a circle of 600-mm radius. The wheel shaft is pivoted about the axis O-O and is driven by the vertical shaft at the...

Briefly describe an advantage that state-space techniques have over root locus techniques in the placement of closed-loop poles for transient response design.

The crank OA rotates in the vertical plane with a constant clockwise angular velocity w 0 of 4.5 rad/s. For the position where OA is horizontal, calculate the force under the light roller B of the...

Draw the free-body diagram for the following problems. a) The lamp in Prob. 519. b) The rod in Prob. 520. c) The assembly in Prob. 521. d) The beam in Prob. 522. 0.3 m 0.4 m 0.15 m C B -0.5 m- G

A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. The following conductivity data are obtained: (a) Is...

The drawing shown is of a mounting fixture to locate and orient a rod (not shown) through the large bore. The fixture will be bolted to a frame through the four bolt holes that are countersunk to...

Gripper C of the industrial robot is accidentally subjected to a 60-lb side load directed perpendicular to BC (Figure P4.15). The lengths of the robots links are AB 5 22 in. and BC 5 18 in. By using...

The response of the deflection of a fluid-filled catheter to changes in pressure can be modeled using a second-order model. Knowledge of the parameters of the model is important because in...

The room temperature of an 11 m 2 room is to be controlled by varying the power of an indoor radiator. For this specific room, the open-loop transfer function from radiator power, Q (s), to...

The motor and load shown in Figure P5.46(a) are used as part of the unity feedback system shown in Figure P5.46(b). Find the value of the coefficient of viscous damping, DL, that must be used in...

Two of the five mechanical engineers employed by the county sanitation department have experience in the design of steam turbine power plants. You have been instructed to choose randomly two of the...

An artificial heart works in closed loop by varying its pumping rate according to changes in signals from the recipients nervous system. For feedback compensation design it is important to know the...

An experiment was conducted to determine if either firing temperature or furnace position affects the baked density of a carbon anode. The data are shown below: Suppose we assume that no interaction...

Determine the magnitude of the resultant force F R = F 1 + F 2 and its orientation , measured clockwise from the positive x axis. F3 = 250 N F = 360 N 30% 45% 30 F = 400 N X

Consider the following costs for a certain chemical product: Fixed cost: $2.045 million/year. Variable costs: Material cost: 62 cents per gallon of product. Energy cost: 24 cents per gallon of...

The four concentric forces act on the post. Determine the resultant force and its direction, measured counterclockwise from the positive x-axis. F = 250 N 60. F = 600 N 12 13 5 30 F3 = 450 N Prob....

Find peak time, settling time, and percent overshoot for only those responses below that can be approximated as second-order responses. a. b. c. d. c(t) = 0.003500 0.001524e-4...

Determine the total heat transfer for the reversible process 1-2 shown in Fig. P759. 500 100 0.2 1.0 S, kJ/K T, C

A fenced enclosure consists of a rectangle of length L and width 2R and a semicircle of radius R, as shown in Figure P13. The enclosure is to be built to have an area A of 2000 ft 2 . The cost of the...

The pH of 0.010 M o-cresol is 6.16. Find pK a for this weak acid. CH, o-Cresol

The uniform 20-kg slender bar is pivoted at O and swings freely in the vertical plane. If the bar is released from rest in the horizontal position, calculate the initial value of the force R exerted...

An experiment is conducted to study the influence of operating temperature and three types of face-plate glass in the light output of an oscilloscope tube. The following data are collected: (a) Use ...

Kerosene at 20C flows through a contraction section as shown. A pressure gage connected between the upstream pipe and throat section shows a pressure difference of 25 kPa. The gasoline velocity in...

Write the charge and mass balances for dissolving CaF 2 in water if the reactions are CaF,(8) = Ca2+ + 2F Ca?+ + H,O = CAOH+ + H* Ca2+ + F = CaF+ CaF2(s) = CaF2(aq) F + H* = HF(aq) HF(aq) + F = HF,

The homogeneous circular cylinder of mass m and radius R carries a slender rod of mass m/2 attached to it as shown. If the cylinder rolls on the surface without slipping with a velocity v O of its...

The snowboarder is traveling with a velocity of 6 m/s as shown when he lands on the incline with no rebound. If the impact has a time duration of 0.1 s, determine his speed v along the incline just...

Refer to the exercise of Problem P4.21. (a) Measure the angle of force A directly from the diagram and use it to find the magnitude of the force at hinge B. (b) A design condition is that the force...

Reconsider Prob. 11120E. The refrigeration system of that problem cools one reservoir at 15F and one at 40F while rejecting heat to a reservoir at 80F. Which process has the highest exergy...

A 16-run fractional factorial experiment in 10 factors on sand-casting of engine manifolds was conducted by engineers at the Essex Aluminum Plant of the Ford Motor Company and described in the...

The 10 cm orifice in the horizontal 30 cm pipe shown is the same size as the orifice in the vertical pipe. The manometers are mercury-water manometers, and water (T = 20C) is flowing in the system....

Derive and solve the equation of motion for the mass m in terms of the variable x for the system shown. Neglect the mass of the lever AOC and assume small oscillations. C k2 k1 ww TxB = bo cos ot A a

Determine the heat of mixing H of sulfuric acid in water and the partial specific enthalpies of H 2 SO 4 and H 2 O for a solution containing 65-wt-% H 2 SO 4 at 300 K.

The vertical shaft and attached clevis rotate about the z-axis at the constant rate = 4 rad/s. Simultaneously, the shaft B revolves about its axis OA at the constant rate w 0 = 3 rad/s, and the...

Determine the ultimate load-carrying capacity of the drilled shaft shown in Figure P13.4, using the Reese and ONeill (1989) method. Figure P13.4 750 mm Sand 8.0 m y = 16.5 kN/m3 T1.0 m Sand 1.5 m y =...

Link 3, shown schematically in the figure, acts as a brace to support the 270-lbf load. For buckling in the plane of the figure, the link may be regarded as pinned at both ends. For out-of-plane...

Calculate the voltage of the following cell, in which KHP is potassium hydrogen phthalate, the monopotassium salt of phthalic acid. By the reasoning in Figure 13-8, in which direction do electrons...

Two couples act on the beam. If the resultant couple is to be zero, determine the magnitudes of P and F, and the distance d between A and B. 60 F 0.2 m A d PA 30 B 1m 300 N 2 m 500 N

Complex formation by 3-aminopyridine and picric acid in chloroform solution gives a yellow product with an absorbance maximum at 400 nm. Neither starting material absorbs significantly at this...

Cable ABCD supports the 120-kg uniform beam. Determine the maximum tension in this cable and the sag of point B. 0.5 m -1 m- B E -2 m F C -1 m- D 1 m 0.5 m

The three forces are applied to the bracket. Determine the range of values for the magnitude of force P so that the resultant of the three forces does not exceed 2400 N. 3000 N 90%- Prob. 2-38 800 N...

A 5 m deep excavation is required in a dry sand where = 17.5 kN/m 3 and ' = 32 (see Figure 18.11). Determine the actual depth to which the sheet pile has to be driven and the required section (from...

Reconsider the experiment described in Problem 6-1. Suppose that the experimenter only performed the eight trials from replicate I. In addition, he ran four center points and obtained the following...

The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The law is P = nRT/V where R is the gas constant. An engineer must design a large natural gas storage...

If the wire in Figure A is stretched from 1.00 m to 1.01 m in length, what is the strain of the wire? The following figures depict the situations described in above exercise. Diameter 0.20 mm L Cube...

A six-cylinder, 4-L spark-ignition engine operating on the ideal Otto cycle takes in air at 90 kPa and 20C. The minimum enclosed volume is 15 percent of the maximum enclosed volume. When operated at...

An ideal vapor-compression refrigeration cycle using refrigerant-134a as the working fluid is used to cool a brine solution to 5C. This solution is pumped to various buildings for the purpose of...

Reconsider Prob. 256E. Using appropriate software, study the effects of the unit cost of energy, the new combustion efficiency on the annual energy, and cost savings. Let the efficiency vary from 0.7...

A corporation that manufactures field rifles for the Department of Defense operates a production line that turns out finished firing pins. To monitor the process, an inspector randomly selects five...

The spool has a mass of 30 kg and a radius of gyration k o = 0.25 m. Block A has a mass of 25 kg, and block B has a mass of 10 kg. If they are released from rest, determine the time required for...

A batter hits the baseball A with an initial velocity of v 0 = 100 ft/sec directly toward fi elder B at an angle of 30 to the horizontal; the initial position of the ball is 3 ft above ground level....

Redo Problem 48 with the restriction that the next weeks production is set to zero if the inventory exceeds 40 carts. Problem 48 A certain company manufactures and sells golf carts. At the end of...

A large quantity of very dilute aqueous N a OH solution is neutralized by addition of the stoichiometric amount of a 10-mol-% aqueous HCl solution. Estimate the heat effect per mole of N a OH...

Detection limit. In spectrophotometry, we measure the concentration of analyte by its absorbance of light. A low-concentration sample was prepared, and nine replicate measurements gave absorbances of...

Two satellites B and C are in the same circular orbit of altitude 500 miles. Satellite B is 1000 mi ahead of satellite C as indicated. Show that C can catch up to B by putting on the brakes....