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

Locate the centroid (x,y) of the shaded area. 6 in. 3 in. 6 in. 6 in.

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 =...

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...

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...

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...

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...

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...

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...

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...

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

The small slider of mass m is released from rest while in position A and then slides along the vertical-plane track. The track is smooth from A to D and rough (coefficient of kinetic friction k )...

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 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...

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

A mechanism for pushing small boxes from an assembly line onto a conveyor belt, repeated from Prob. 5/89, is shown with arm OD and crank CB in their vertical positions. For the configuration shown,...

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

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 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)....

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...

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...

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...

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...

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....

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...

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...

Find the transfer function, 1 (s)/T(s) , for the system shown in Figure P2.19. T(1) 0(1) 1 N-m/rad 1 N-m/rad 1 kg-m? 0000 1 kg-m? 1 N-m-s/rad FIGURE P2.19

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...

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...

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...

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

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....

An intermittent-drive mechanism for perforated tape F consists of the link DAB driven by the crank OB. The trace of the motion of the finger at D is shown by the dashed line. Determine the magnitude...

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...

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...

A spring-loaded device imparts an initial vertical velocity of 50 m/s to a 0.15-kg ball. The drag force on the ball is F D = 0.002v 2 , where F D is in newtons when the speed v is in meters per...

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...

For the system shown in Figure P5.13, find the poles of the closed-loop transfer function, T(s) = C(s)/R(s). 3 C(s) 5s R(s) 4 FIGURE P5.13

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...

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

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....

The 30-kg block is supported by two springs having the stiffness shown. Determine the un stretched length of each spring after the block is removed. C -0.6 m KAC = 1.5 kN/m A -0.4 m- B 0.5 m KAB =...

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...

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...

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...

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

The pillar crane is subjected to the crate having a mass of 500 kg. Determine the force in the tie rod AB and the horizontal and vertical reactions at the pin support C when the boom is held in 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

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...

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

A cleated conveyor belt transports solid homogeneous cylinders up a 15 incline. The diameter of each cylinder is half its height. Determine the maximum acceleration which the belt may have without...

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...

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 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 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 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...

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

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 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 open-link chain of length L and mass per unit length is released from rest in the position shown, where the bottom link is almost touching the platform and the horizontal section is supported on...

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 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

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 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...

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...

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...

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

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...

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...

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 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 ...

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...

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...

A rigid tank contains nitrogen gas at 227C and 100 kPa gage. The gas is heated until the gage pressure reads 250 kPa. If the atmospheric pressure is 100 kPa, determine the final temperature of the...

The gage pressure throughout the horizontal 90 pipe bend is 300 kPa. If the pipe diameter is 1.5 m and the water (at 10C) flow rate is 10 m 3 /s, what x-component of force must be applied to the bend...

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...

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

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...

A particle of mass m is introduced with zero velocity at r = 0 when = 0. It slides outward through the smooth hollow tube, which is driven at the constant angular velocity 0 about a horizontal axis...

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...

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...

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

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...

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...

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 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 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.

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 =...