Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N forces are applied to the handles. The jaws are pinned at E and A, and D and B. There is also a pin at F....

The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take s = 0.3....

Determine the maximum horizontal force P that can be applied to the 30-lb hoop without causing it to rotate. The coefficient of static friction between the hoop and the surfaces A and B is s = 0.2....

The vehicle has a weight of 2600 lb and center of gravity at G. Determine the horizontal force P that must be applied to overcome the rolling resistance of the wheels. The coefficient of rolling...

Solve Problem 12.23 using the method of Broms. Assume that the pile is flexible and free-headed. Let the soil unit weight, = 16 kN/m 3 ; the soil friction angle, ' = 30; and the yield stress of the...

Locate the centroid y of the shaded area. Solve the problem by evaluating the integrals using Simpsons rule. y = 0.5e? I m

The tank is used to store a liquid having a density of 80 lb/ft 3 . If it is filled to the top, determine the magnitude of force the liquid exerts on each of its two sides ABDC and BDFE. D 4 ft B 6...

Determine the moment of inertia about the x axis. y = a

Locate the centroid x of the circular sector. y C

Determine the location y of the centroid C of the beam having the cross-sectional area shown. 150 mm 15 mm IT B C 150 mm -15 mm 15 mm 100 mm

In Problem 18.1, determine the maximum moment and its location. Assuming an allowable stress of 170 MN/m 2 , select a sheet-pile section from Table 18.1. Table 18.1. Section H L. Section modulus...

Determine the moment of inertia for the shaded area about the y axis. y h h

The bulk head AD is subjected to both water and soilbackfill pressures. Assuming AD is pinned to the ground at A, determine the horizontal and vertical reactions there and also the required tension...

The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is s = 0.2, determine the smallest mass of the man so he can move the crate. The...

Determine the moment of inertia about the y axis. y 150 mm --150 mm- 20 mim 200 mm C 20 mm 200 mm 20 mim

Locate the centroid y of the cross section and determine the moment of inertia of the section about the x' axis. 0.4 m y 0.05 m 0.3 m- 0.2 m 0.2 m 0.2 m'0.2 m

Consider a p p Latin square with rows ( i ), columns ( k ), and treatments ( j ) fixed. Obtain least squares estimates of the model parameters i k , and j .

A 1020 CD steel shaft is to transmit 20 hp while rotating at 1750 rpm. Determine the minimum diameter for the shaft to provide a minimum factor of safety of 3 based on the maximum-shear-stress theory.

For Fig. A155, let D = 3 in, d = 2 in, r = 0.25 in, and estimate Kt. Use 1/2 symmetry and 1/8-in-thick 2-D elements. 3.0 Dld = 1.50 2.6 F F 1.10 2.2 K, 1.05 1.8 1.02 1.4 1.0 0.05 0.10 0.15 0.20 0.25...

Two popular pain medications are being compared on the basis of the speed of absorption by the body. Specifically, tablet 1 is claimed to be absorbed twice as fast as tablet 2. Assume that 2 1 and ...

An article in Environment International (Vol. 18, No. 4, 1992) describes an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the...

Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained: (a) Do the four catalysts have...

The hydraulic lift in a car repair shop has an output diameter of 30 cm and is to lift cars up to 2500 kg. Determine the fluid gage pressure that must be maintained in the reservoir.

Consider a 2100-kg car cruising at constant speed of 70 km/h. Now the car starts to pass another car by accelerating to 110 km/h in 5 s. Determine the additional power needed to achieve this...

A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a...

The effect of five different ingredients (A, B, C, D, E) on the reaction time of a chemical process is being studied. Each batch of new material is only large enough to permit five runs to be made....

Calculate the total work, in kJ, for process 13 shown in Fig. P44 when the system consists of 2 kg of nitrogen. 500 400 100 0.5 1 U, m/kg P, kPa

Neon is compressed from 100 kPa and 20C to 500 kPa in an isothermal compressor. Determine the change in the specific volume and specific enthalpy of neon caused by this compression.

Consider the single replicate of the 2 4 design in Example 6-2. Suppose that we ran five points at the center (0, 0, 0, 0) and observed the following responses: 73, 75, 71, 69, and 76. Test for...

An open feedwater heater heats the feedwater by mixing it with hot steam. Consider an electric power plant with an open feedwater heater that mixes 0.1 lbm/s of steam at 10 psia and 200F with 2.0...

A router is used to cut locating notches on a printed circuit board. The vibration level at the surface of the board as it is cut is considered to be a major source of dimensional variation in the...

Water at 80F and 20 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. If both streams enter the mixing chamber at the same mass flow rate, determine the temperature and...

The hexagon design that follows is used in an experiment that has the objective of fitting a second-order model: (a) Fit the second-order model. (b) Perform the canonical analysis. What type of...

A pistoncylinder device containing carbon-dioxide gas undergoes an isobaric process from 15 psia and 80F to 200F. Determine the work and the heat transfer associated with this process, in Btu/lbm.

Water is boiling at 1 atm pressure in a stainless steel pan on an electric range. It is observed that 1.25 kg of liquid water evaporates in 30 min. The rate of heat transfer to the water is (a) 1.57...

One kilogram of water fills a 150-L rigid container at an initial pressure of 2 MPa. The container is then cooled to 40C. Determine the initial temperature and the final pressure of the water. H,0 1...

A completely reversible air conditioner provides 36,000 Btu/h of cooling for a space maintained at 70F while rejecting heat to the environmental air at 110F. Calculate the rate at which the entropies...

Determine the total heat transfer for the reversible process 1-3 shown in Fig. P758. 3 360 55 1 2 S, kJ/K T, C

An AISI 1018 steel has a yield strength, S y = 295 MPa. Using the distortion-energy theory for the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus, the...

An aluminum pan has a flat bottom whose diameter is 30 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 1100 W. If the temperatures of the inner and outer...

Can any ideal gas power cycle have a thermal efficiency greater than 55 percent when using thermal energy reservoirs at 627C and 17C?

A simple ideal Rankine cycle with water as the working fluid operates between the pressure limits of 4 MPa in the boiler and 20 kPa in the condenser and a turbine inlet temperature of 700C. The...

Consider a function f(x) and its derivative df/dx. Can this derivative be determined by evaluating dx/df and taking its inverse?

Atmospheric air at 1 atm, 30C, and 80 percent relative humidity is cooled to 20C while the mixture pressure remains constant. Calculate the amount of water, in kg/kg dry air, removed from the air and...

Some engineers have developed a device that provides lighting to rural areas with no access to grid electricity. The device is intended for indoor use. It is driven by gravity, and it works as...

An adiabatic air compressor compresses 10 L/s of air at 120 kPa and 20C to 1000 kPa and 300C. Determine (a) The work required by the compressor, in kJ/kg, and (b) The power required to drive the air...

A steam power plant operates on the simple ideal Rankine cycle between the pressure limits of 10 kPa and 5 MPa, with a turbine inlet temperature of 600C. The rate of heat transfer in the boiler is...

A pressure cooker is a pot that cooks food much faster than ordinary pots by maintaining a higher pressure and temperature during cooking. The pressure inside the pot is controlled by a pressure...

Air enters a convergingdiverging nozzle with low velocity at 2.4 MPa and 120C. If the exit area of the nozzle is 3.5 times the throat area, what must the back pressure be to produce a normal shock at...

Air flows through a convergingdiverging nozzle in which the exit area is 2.896 times the throat area. Upstream of the nozzle entrance, the velocity is negligibly small and the pressure and...

In a production facility, 1.5-in-thick, 1-ft 3-ft square brass plates ( = 532.5 lbm/ft 3 and c p = 0.091 Btu/ lbmF) that are initially at a uniform temperature of 75F are heated by passing them...

A mixture of 1 mol of H 2 and 1 mol of Ar is heated at a constant pressure of 1 atm until 10 percent of H 2 dissociates into monatomic hydrogen (H). Determine the final temperature of the mixture.

Name two advantages of having a computer in the loop.

Solve the following differential equations using classical methods. Assume zero initial conditions. a. dx/dt + 7x = 5 cos 2t b. d 2 x/dt 2 + 6dx/dt + 8x = 5 sin 3t c. d 2 x/dt 2 + 8dx/dt + 25x =...

A refrigerator uses refrigerant-134a as the working fluid and operates on the vapor-compression refrigeration cycle. The evaporator and condenser pressures are 200 kPa and 1400 kPa, respectively. The...

Reconsider Prob. 1034. How much does the thermal efficiency of the cycle change when the temperature at the entrance to the low-pressure turbine is increased to 550C? Data From Q#34: Consider a steam...

Given the combined translational and rotational system shown in Figure P2.29, find the transfer function, G(s) = X(s)/T(s). T(O) Radius = r Bh 0000 Ideal D3 gear 1:1 K2 FIGURE P2.29

A mixture of ideal gases consists of the following gases by mole fraction: 10 percent CO 2 , 60 percent H 2 O, and 30 percent CO. Determine the Gibbs function of the CO in this mixture when the...

Use the Gibbs function to determine the equilibrium constant of the H 2 O H 2 + 1/2 O 2 reaction at (a) 1440 R (b) 3960 R. How do these compare to the equilibrium constants of Table A28? TABLE A-28...

Given the electric network shown in Figure P1.6. a. Write the differential equation for the network if v(t) = u(t), a unit step. b. Solve the differential equation for the current, i(t), if there is...

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;...

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) = 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

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...

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...

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)...

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 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 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 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

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 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...

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