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Engineering
Top Selling Engineering Questions
For each of the following systems, give two examples of how a mechanical engineer would be involved in its design. (a) Passenger automobile engine (b) Escalator (c) Computer hard disk drive (d)...
The wind power output per unit area swept by the rotor is 2.4 kW/m 2 . Convert this quantity to the dimensions of hp/ft 2 .
When a 120-lb woman stands on a snow-covered trail, she sinks slightly into the snow because the compressive stress between her ski boots and the snow is larger than the snow can support without...
An engineer determines that a 40-cm-long rod of 1020 grade steel will be subjected to a tension of 20 kN. The following two design requirements must be met: The stress must remain below 145 MPa, and...
Convert the viscosity of mercury (1.5 x 10 -3 kg/(m s)) to the dimensions of slug/(ft s) and centipoise.
The fuel tank on a sport-utility wagon holds 14 gal of gasoline. How much heavier is the automobile when the tank is full compared to when it is empty?
(a) By using either the vector algebra or polygon methods for finding a resultant, determine the magnitude of F that will cause the net effect of the three forces to act vertically. (b) For that...
Water flows through a 5-cm-diameter pipe at the average velocity of 1.25 m/s. (a) In the dimensions of L/s, what is the volumetric flow rate? (b) If the diameter of the pipe is reduced by 20% at a...
The steel bolt and anchor assembly is used to reinforce the roof of a passageway in an underground coal mine (Figure P5.13). In installation, the bolt is tensioned to 5000 lb. Calculate the stress,...
In a pipeline that connects a production oilfield to a tanker terminal, oil having density 1.85 slug/ft 3 and viscosity 6 x 10 3 slug/(ft s) flows through a 48-in.-diameter pipeline at 6 mph. What...
The tie-down mount in Figure P5.23 is bolted to the deck of a cargo truck and restrains the steel cable under 1.2 kN of tension. Determine the shear stress in the 6-mm-diameter bolt. Neglect the...
A 3/8 -in.-diameter bolt connects the marine propeller to a boats 1 1/4 -in. driveshaft (Figure P5.30). To protect the engine and transmission if the propeller accidentally strikes an underwater...
(a) A luxury sports car has a frontal area of 22.4 ft 2 and a 0.29 coefficient of drag at 60 mph. What is the drag force on the vehicle at this speed? (b) A sport-utility vehicle has C D = 0.45 at 60...
A certain parachute has a drag coefficient of C D = 1.5. If the parachute and skydiver together weigh 225 lb, what should the frontal area of the parachute be so that the skydivers terminal velocity...
A thin-walled sampling tube must be fabricated to obtain good-quality undisturbed clay samples of 75 mm diameter. What is the maximum possible wall thickness?
If a mass-spring system has Coulomb friction on the surface rather than viscous friction, its equation of motion is where is the coefficient of friction. Develop a Simulink model for the case where...
Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A. Determine the required angle (0 45) and the component acting along member BC. Set F =...
Refer to Figure P3.3. Use Eqs. (3.10) and (3.11) to determine the variation of OCR and preconsolidation pressure 'c. Figure P3.3 Eqs. (3.10) Eqs. (3.11) Dry sand y = 16.5 kN/m3 1.5 m Groundwater...
A 1.5 m 2.0 m rectangular foundation is placed at 1.0 m depth in sand where ' = 40 and = 18.5 kN/m 3 . Bedrock is present at 1.0 m below the foundation. Using Eq. (7.3), determine the ultimate...
A 2.0 m wide continuous foundation is placed at 1.5 m depth in a saturated clay where c u = 40 kN/m 2 and = 18.5 kN/m 3 . At 2.0 m below the ground level, this clay layer is underlain by a stiffer...
A 2 m wide continuous foundation is placed at 1 m depth within a 1.5 m thick sand layer that is underlain by a weaker clay layer. The soil properties are as follows: Upper sand layer: unit weight =...
Replace the loading system acting on the post by an equivalent resultant force and couple moment at point B. 650 N 500 N 30 300 N 1500 N - m 60 A -3 m -5 m- m
A 2.0 m 4.0 m flexible loaded area shown in Figure P9.6 applies a uniform pressure of 150 kN/m 2 to the underlying silty sand. Estimate the elastic settlement below the center of the foundation....
A 400 mm 400 mm square precast concrete pile of 15 m length is driven into a sand where = 18.0 kN/m 3 and ' = 33. Assuming ' = 0.7' and K = 1.4 K o , determine the load-carrying capacity of the...
A concrete pile 20 m long having a cross section of 0.46 m 0.46 m is fully embedded in a saturated clay layer. For the clay, given: sat = 18 kN/m 3 , = 0, and c u = 80 kN/m 2 . Determine the...
A concrete pile 15.24 m long having a cross section of 406 mm 406 mm is fully embedded in a saturated clay layer for which g sat = 19.02 kN/m 3 , = 0, and c u = 76.7 kN/m 2 . Determine the...
Figure P12.36 shows a 3 5 pile group consisting of 15 concrete piles of 400 mm diameter and 12 m in length. What would be the maximum load that can be allowed on the mat with a factor of safety of...
A 1 m diameter straight drilled shaft is shown in Figure P13.7. Determine the load-carrying capacity of the drilled shaft with FS = 3. Take '/' as 0.8 for the sand. Figure P13.7. Sand y = 18 kN/m3 o'...
Refer to Figure P13.9. Assume the botton 8 m to be hard rock and the following values. Spacing of discontinuity in rock = 500 mm Thickness of individual discontinuity in rock = 3 mm Estimate the...
Figure P17.1 shows a gravity retaining wall retaining a granular (c' = 0) backfill. The same soil is present at the bottom of the wall and on the left. The unit weight and the friction angle of the...
Determine the factor of safety of the retaining wall shown in Figure P17.3 with respect to overturning, sliding, and bearing capacity failure. Given: unit weight of concrete = 24.0 kN/m 3 , ' = 2/3',...
Determine the area and the centroid x of the parabolic area. h
Determine the moment of inertia for the shaded area about the y axis. y -y? = 1 - x 1m 1 m -1m -
Determine the moment of inertia I x of the shaded area about the x axis. y -100 mm-100 mm- - 150 mm - 150 mm 75 mm 150 mm
An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore,...
Which geometric characteristics never reference datums? Why?
What is the difference between pound-mass and pound-force?
Reconsider Prob. 323E. Using appropriate software, determine the missing properties of water. Repeat the solution for refrigerant-134a, refrigerant-22, and ammonia.
A spin coater is used to apply photoresist to a bare silicon wafer. This operation usually occurs early in the semiconductor manufacturing process, and the average coating thickness and the...
A rigid, adiabatic container is filled through a single opening from a source of working fluid whose properties remain fixed. How does the final specific entropy of the single-phase contents of this...
Repeat Prob. 51 with the following principal stresses obtained from Eq. (313) : (a) A = 100 MPa, B = 100 MPa (b) A = 100 MPa, B = -100 MPa (c) A = 100 MPa, B = 50 MPa (d) A = 100 MPa, B = -50...
A ductile material has the properties S yt = 60 kpsi and S yc = 75 kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress given in Prob. 53 . For a...
Repeat Prob. 512 by first plotting the failure loci in the A , B plane to scale; then for each stress state, plot the load line and by graphical measurement estimate the factor of safety A ductile...
Given the root locus shown in Figure P8.7, a. Find the value of gain that will make the system marginally stable. b. Find the value of gain for which the closed-loop transfer function will have a...
The maximum safe air pressure of a tire is typically written on the tire itself. The label on a tire indicates that the maximum pressure is 35 psi (gage). Express this maximum pressure in kPa. FIGURE...
Reconsider Prob. 2103. Using appropriate software, investigate the effect of the convection heat transfer coefficient on the surface temperature of the plate. Let the heat transfer coefficient vary...
A Segway Personal Transporter (PT) is a two-wheeled vehicle in which the human operator stands vertically on a platform. As the driver leans left, right, forward, or backward, a set of sensitive...
Experience has shown that a manufacturer of rewritable CDs produces, on the average, only 1 defective CD in 100. Suppose that of the next 4 CDs manufactured, at least 1 is defective. What would you...
Repeat Problem 19 using nodal equations. Data From Problem 19: Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.5. Solve the problem using mesh analysis. +...
Given the following system represented in state space, solve for Y(s) using the Laplace transform method for solution of the state equation: -2 -4 1 x+ |0 0 e- 0 -6 y = [0 0 1]x; x(0) =
Given the following state-space representation of a system, find Y(s): 1 x + sin 3t -3 3. y = [1 2]x; x(0) = %3D
Two uniform spheres are positioned as shown. Determine the gravitational force which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. y opper 2R 6R 35 R Titanium Problem 1/6
Figure P4.16 shows the step response of an electric vehicles mechanical brakes when the input is the drive torque (N-m) and the output is the hydraulic brake pressure (bar) (Ringdorfer, 2011). a....
A train which is traveling at 80 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/hr as it passes a point 1/2...
The 300-Mg jet airliner has three engines, each of which produces a nearly constant thrust of 240 kN during the takeoff roll. Determine the length s of runway required if the takeoff speed is 220 km...
The drive system of the 350-ton tugboat causes an external thrust P = 7000 lb to be applied as indicated in the figure. If the tugboat pushes an 800-ton coal barge starting from rest, what is the...
A worker develops a tension T in the cable as he attempts to move the 50-kg cart up the 20 incline. Determine the resulting acceleration of the cart if (a) T = 150 N and (b) T = 200 N. Neglect all...
Two configurations for raising an elevator are shown. Elevator A with attached hoisting motor and drum has a total mass of 900 kg. Elevator B without motor and drum also has a mass of 900 kg. If the...
The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200-ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle...
The car of Prob. 3/61 is traveling at 25 mi/hr when the driver applies the brakes, and the car continues to move along the circular path. What is the maximum deceleration possible if the tires are...
The particle of mass m = 0.2 kg travels with constant speed v in a circular path around the conical body. Determine the tension T in the cord. Neglect all friction, and use the values h = 0.8 m and v...
The hollow tube assembly rotates about a vertical axis with angular velocity = = 4 rad /s and = = 2 rad /s 2 . A small 0.2-kg slider P moves inside the horizontal tube portion under the control...
Once under way at a steady speed, the 1000-kg elevator A rises at the rate of 1 story (3 m) per second. Determine the power input P in into the motor unit M if the combined mechanical and electrical...
The cars of an amusement-park ride have a speed v 1 = 90 km/h at the lowest part of the track. Determine their speed v 2 at the highest part of the track. Neglect energy loss due to friction....
A 60-g bullet is fired horizontally with a velocity v 1 = 600 m/s into the 3-kg block of soft wood initially at rest on the horizontal surface. The bullet emerges from the block with the velocity v 2...
The 90-kg man dives from the 40-kg canoe. The velocity indicated in the figure is that of the man relative to the canoe just after loss of contact. If the man, woman, and canoe are initially at rest,...
The rigid assembly which consists of light rods and two 1.2-kg spheres rotates freely about a vertical axis. The assembly is initially at rest and then a constant couple M = 2 N m is applied for 5 s....
Compute the final velocities v 1 and v 2 after collision of the two cylinders which slide on the smooth horizontal shaft. The coefficient of restitution is e = 0.8. v1 = 7 m/s U2 = 1 m/s %3D m1 = 2...
The 2-kg sphere is projected horizontally with a velocity of 10 m /s against the 10-kg carriage which is backed up by the spring with stiffness of 1600 N/m. The carriage is initially at rest with the...
A system is represented by the state and output equations that follow. Without solving the state equation, find a. The characteristic equation; b. The poles of the system 0 2 3 i = 0 6 5x+ 1 u(t) 4 2...
If v i (t) is a step voltage in the network shown in Figure P4.25, find the value of the resistor such that a 20% overshoot in voltage will be seen across the capacitor if C = 10 -6 F and L = 1 H. R...
For the unity feedback system shown in Figure P7.1, where find the steady-state errors for the following test inputs: 25u(t); 37tu(t); 47t 2 u(t). 450(s + 8)(s + 12)(s+ 15) G(s) = s(s + 38)(s + 2s+...
The two attached pulleys are driven by the belt with increasing speed. When the belt reaches a speed v = 2 ft/sec, the total acceleration of point P is 26 ft/sec 2 . For this instant determine the...
The thin hoop of negligible mass and radius r contains a homogeneous semicylinder of mass m which is rigidly attached to the hoop and positioned such that its diametral face is vertical. The assembly...
Mussel larvae are in great abundance in the drift material that washes up on Ninety Mile Beach in New Zealand. These larvae tend to settle on algae. Environmentalists at the University of Auckland...
Briefly describe the difference between an edge dislocation and a screw dislocation.
Refer to the Journal of Articles in Support of the Null Hypothesis (Vol. 6, 2009) study to determine whether video game players have superior visual attention skills over non-video game players,...
Some instruments having angular motion are damped by means of a disk connected to the shaft . The disk, in turn, is immersed in a container of oil, as shown. Derive a formula for the damping torque...
Is the block in this figure stable floating in the position shown? Show your calculations. L= 3H - W= 2H- H H Water
A pipe 15 cm in diameter bends through 135. The velocity of flow of gasoline (SG = 0.8) is 8 m/s, and the pressure is 100 kPa gage throughout the bend. Neglecting gravitational force, determine the...
State Newtons second law of motion. What are the limitations on the use of Newtons second law? Explain.
How long will it take the water surface in the tank shown to drop from h = 3 m to h = 50 cm? 60 cm diameter h 3 cm diameter V= V2gh
The Mach number downstream of a shock wave in helium is 0.85, and the static temperature is 110C. Calculate the velocity upstream of the wave.
A glider at 800 m altitude has a mass of 180 kg and a wing area of 20 m 2 . The glide angle is 1.7, and the air density is 1.2 kg/m 3 . If the lift coefficient of the glider is 0.83, how many minutes...
A bicyclist is capable of delivering 275 W of power to the wheels. How fast can the bicyclist travel in a 3 m/s headwind if his or her projected area is 0.5 m 2 , the drag coefficient is 0.3, and the...
A novelty scale for measuring a persons weight by having the person stand on a piston connected to a water reservoir and stand pipe is shown in the diagram. The level of the water in the stand pipe...
Flow over a rectangular plate produces an average wall shear stress of 1.2 pascals. Calculate the friction drag in units of N. The plate dimensions are 1.5 m by 2.0 m. The plate is inclined at 20...
What is the head loss in terms of V 0 2 /2g for the flow nozzle shown? Vo D 3
An electric hand mixer draws 1.5 amperes at 110 volts. It is used to mix 1 kg of cookie dough for 5 minutes. After mixing, the temperature of the cookie dough is found to have increased by 5C. If the...
Air at 60F and atmospheric pressure flows in a horizontal duct with a cross section corresponding to an equilateral triangle (all sides equal). The duct is 100 ft long, and the dimension of a side is...
Electric current is the fundamental SI electrical dimension, with the ampere (A) as its unit. Determine units for the following quantities as combinations of fundamental SI units. (a) Electric power...
Justify the following equations: ( - VR aln T P.x RT RT2 T.x GR Ex, In Exd In = 0 (const T, P) RT
If the molar density of a binary mixture is given by the empirical expression: find the corresponding expressions for V 1 and V 2 p= ag + ajx1 +a2xf
A single P-x 1 -y 1 data point is available for a binary system at 25C. Estimate from the data: (a) The total pressure and vapor-phase composition at 25C for an equimolar liquid mixture. (b) Whether...
Consider a binary liquid mixture for which the excess Gibbs energy is given by G E /RT = Ax 1 x 2 (x 1 + 2x 2 ). What is the minimum value of A for which liquid/liquid equilibrium is possible?
Given below are values of G E /Jmol 1 , H E /Jmol 1 , and C E P / J mol 1 K 1 for some equimolar binary liquid mixtures at 298.15 K. Estimate values of G E , H E , and S E at 328.15 K for one of...
Determine the output voltage of an op-amp for input voltages of V i1 = 200 mV and V i2 = 140 mV. The amplifier has a differential gain of Ad = 6000 and the value of CMRR is: a. 200. b. 10 5 .
Equations analogous to Eqs. (10.15) and (10.16) apply for excess properties. Because ln i is a partial property with respect to G E RT, these analogous equations can be written for ln 1 and ln 2...
Given the information provided in Fig. 4.123 , determine: a. R C . b. R E . c. R B . d. V CE . e. V B . 12 V 2 mA RC RB o 7.6 V Va Vce B = 80 02.4 V RE FIG. 4.123
The pressure above a mixture of ethanol and ethyl acetate at 70C is measured to be 78 kPa. What are the possible compositions of the liquid and vapor phases? Problems 12.3 through 12.8 refer to the...
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