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...

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 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 =...

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....

Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is 8 kNm clockwise. 6 kN/m 2 kN/m 4 m

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 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...

Determine the area and the centroid x of the parabolic area. h

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',...

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

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.

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...

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...

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...

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. +...

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...

Solve the following state equation and output equation for y(t), where u(t) is the unit step. Use the Laplace transform method. -3 x+ u(t) -1 y = [1 0]x; x(0) =

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....

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

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...

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...

A system is represented by the state and output equations that follow. Without solving the state equation, find the poles of the system. X = -4 3. x+ -2 u(t) y = [5 1]x

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...

Briefly describe the difference between an edge dislocation and a screw dislocation.

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

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...

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...

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...

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...

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

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...

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?

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...

Assuming an ideal diode, sketch v i , v d , and i d for the half-wave rectifier of Fig. 2.168. The input is a sinusoidal waveform with a frequency of 60 Hz. Determine the profit value of v i from the...

a. For the common-emitter characteristics of Fig. 3.13, find the dc beta at an operating point of V CE = 6 V and I C = 2 mA. b. Find the value of a corresponding to this operating point. c. At V CE =...

a. In Fig. 17.22, if V Z = 50 V, determine the maximum possible value the capacitor C 1 can charge to (VGK 0.7 V). b. Determine the approximate discharge time (5t) for R 3 = 20 k. c. Determine the...

For the fixed-bias configuration of Fig. 7.75 : a. Sketch the transfer characteristics of the device. b. Superimpose the network equation on the same graph. c. Determine I DQ and V DSQ . d. Using...

The stagnation temperature on the Apollo vehicle at Mach 36 as it entered the atmosphere was 11,000 K, a much different value than predicted in Problem 8.17 for the case of a calorically perfect gas...

A unity feedback system has the loop transfer function Determine the relationship between the steady-state error to a ramp input and the gain K and system parameter b. For what values of K and b can...

Extreme temperature changes result in many failures of electronic circuits. Temperature control feedback systems reduce the change of temperature by using a heater to overcome outdoor low...

A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has sliding support at A and the column is pin...

A simply supported beam is subjected to a linearly varying distributed load q(x) 0 maximum intensity q 0 at B. The beam has a length L = 4 m and a rectangular cross-section with a width of 200 mm and...

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

Determine the tension developed in cables OD and OB and the strut OC, required to support the 50-kg crate.The spring OA has an unstretched length of 0.8 m and a stiffness The force in the strut acts...

Determine the tension in the cables in order to support the 100-kg crate. x- C B 2 m N 2.5 m m D 2 m 1 m -y

The 25-kg flowerpot is supported at A by the three cords. Determine the force acting in each cord. x D N 60 30 30 B 45

If the bucket and its contents have a mass of 10 kg and are suspended from the cable by means of a small pulley at C, determine the location x of the pulley for equilibrium. The cable is 6 m long. 4...

Each cord can sustain a maximum tension of 500 N. Determine the largest mass of pipe that can be supported. FM E H B 60 1 Y H D E 25

If the mass of the block at A is 20 kg, determine the mass of the block at B and at C for equilibrium. Also, determine the angles u and f. A D 3 m B E -4 m C 3 m

The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord for equilibrium. G B 60 A H D E

Let P = 2a x 4a y + a z and Q = a x + 2a y . Find R which has magnitude 4 and is perpendicular to both P and Q.

The file cabinet contains four uniform drawers, each 2.5 ft long and weighing 30 lb/ft. If the empty cabinet (without drawers) has a weight of 40 lb and a center of mass at G, determine how many of...

Determine the force developed in the short link BD, and the tension in the cords CE and CF, and the reactions of the ball-and-socket joint A on the block. 3 m D 6 kN E 9 kN 1.5 m 4m

The truss is supported by a pin at A and a roller at B. Determine the support reactions. 5 kN 4 m 45 2 m 10 kN -2 m- -4 m-

Determine the reaction at fixed support A. A 6 m 0.5 kN/m -3 m- 3 kN 5 kN-m

The 2.5-Mg assembly has a center of mass at G and is hoisted with a constant velocity. Determine the force in each cable and the distance d for equilibrium. 3 m 1 m/ - 4 m P .G 4 m C B 4 m 1.25 m