The center of the wheel is moving to the right with a speed of 2 ft/s. If no slipping occurs at the ground, A, determine the velocity of points B and C. 1.5 ft C A 30 2 ft/s B

If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs. P 30 1.5 ft

Determine the angular acceleration of the 25-kg diving board, and the horizontal and vertical components of reaction at the pin A, the instant the man dives off. Assume that the board is uniform and...

If the carts mass is 30 kg and it is subjected to a horizontal A force of P = 90 N, determine the tension in cord AB and the horizontal and vertical components of reaction on end C of the uniform...

The gear is pinned at A and has a mass of 0.3 kg and a radius of gyration of k A = 25 mm. The gear rack has mass of 0.5 kg. If has spring is stretched 50 mm and released from rest, determine the...

The slender rod has a mass of 10 kg and is released from rest when it is in the vertical position. Determine its angular velocity at the instant it becomes horizontal. The attached block at D has a...

A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn without slipping on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has...

The assembly consists of a 3-kg pulley A and 10-kg pulley B. If a 2-kg block is suspended from the cord, determine the distance the block must descend, starting from rest, in order to cause B to have...

The assembly consists of a 3-kg pulley A and 10-kg pulley B. If a 2-kg block is suspended from the cord, determine the blocks speed after it descends 0.5 m starting from rest. Neglect the mass of the...

If the 50-lb bucket C is released from rest, determine its velocity after it has fallen a distance of 10 ft. The windlass A can be considered as a 30-lb cylinder, while the spokes are slender rods,...

The rotary screen S is used to wash limestone. When empty it has a mass of 800 kg and a radius of gyration of k G = 1.75 m. Rotation is achieved by applying a torque of M = 280 N m about the drive...

The 10-g bullet having a velocity of 800 m/s is fired into the 5-kg disk as shown. Determine the angular velocity of the disk just after the bullet becomes embedded. Also, calculate the angle the...

For Figure A-15-1, let w = 2 in, d = 0.3 in, and estimate K t . Use 1/4 symmetry and 1/8-in-thick 2-D elements. K 3.0 2.8 2.6 2.4 2.2 2.0 0 Figure A-15-1 0.1 0.2 F 0.3 0.4 d/w d 0.5 0.6 0.7 0.8

Repeat Problem 3-88 with T = 900 lbf in, a = 6 in, b = 5 in, c = 10 in, d = 1.375 in, e = 4 in, f = 10 in, and g = 6 in. Data in Problem 3-88 A torque T = 100 N m is applied to the shaft EFG, which...

Consider a pistoncylinder assembly containing 0.12 kg of nitrogen initially at 700 K and 300 kPa (state 1). The piston moves such that the final volume of the nitrogen (state 2) is three times larger...

Determine the reactions at B and C when a = 30 mm. 60 mm 40 mm A 250 N B C 100 mm 60 mm D

A 50-lb sign is supported by a pin and bracket at A and by a cable BC. Determine the reaction at A and the tension in the cable. C A 30 50 lb -3 ft 3 ft B 4 ft

Determine the range of values of for which the semicircular rod shown can be maintained in equilibrium by the small wheel at D and the rollers at B and C. P B 45 45 D

For the boom and loading shown, determine (a) The tension in cord BD, (b) The reaction at C. A 12 in. + 3 kips 16 in. B -32 in. D C 32 in.

A traffic-signal pole may be supported in the three ways shown; in part c, the tension in cable BC is known to be 1950 N. Determine the reactions for each type of support shown. 7.2 m B 3 m- 2.1 m...

Shafts A and B connect the gear box to the wheel assemblies of a tractor, and shaft C connects it to the engine. Shafts A and B lie in the vertical yz plane, while shaft C is directed along the x...

The two couples shown are to be replaced with a single equivalent couple. Determine (a) The couple vector representing the equivalent couple, (b) The two forces acting at B and C that can be used to...

Knowing that at the instant shown bar AB has a constant angular velocity of 10 rad/s clockwise, determine the angular acceleration of (a) Bar BD, (b) Bar DE. B A E -20 in.. Fig. P15.131 and P15.133...

The 15-kg rear hatch of a vehicle opens as shown and can be modeled as a uniform 0.6-m long slender rod. Knowing that the tailgate is released from rest in the position shown, determine the angular...

Evaluate the matrix elements (or expectation values) given below. If any vanishes, explain why it vanishes using simple symmetry (or other) arguments. [In (a) and (b), |nlm stands for the energy...

See Figure P123. The shaft rotating at 480 rpm carries two 4-in-diameter sheaves at D and E that each deliver 3 hp to mating sheaves as shown. Compute the torque delivered by the shaft to each sheave...

Determine the output voltage for an integrator with a single-pulse input, as shown in Figure 1556. For repetitive pulses, how long will it take this circuit to reach steady state? 8 V 0 1 ms O...

Repeat Prob. 246 for a volume expansion of 1.5 percent for water. Data from Problem 46 A water tank is completely filled with liquid water at 20C. The tank material is such that it can withstand...

Consider a flat plate of thickness t, width w into the page, and length b submerged in water, as in Fig. P390. The depth of water from the surface to the center of the plate is H, and angle is...

Determine the force in each member of the truss and state whether it is in tension or compression. A D 3 m 0.0 B 10 kN 3 m

Consider the flow field produced by a hair dryer (Fig. P1050C). Identify regions of this flow field that can be approximated as irrotational, and those for which the irrotational flow approximation...

Consider the slipper-pad bearing of Prob. 1023. (a) Generate a characteristic scale for v, the y-component of velocity. (b) Perform an order-of-magnitude analysis to compare the inertial terms to the...

A flow process that operates with steam has one inlet stream (A) and two outlet streams (B and C). Stream A is at 20 bar, 25 C, and has a mass flow rate of 10 kg/s; stream B is saturated liquid at 20...

a) An ideal gas (C P = 30 J/mole) is throttled from 20 bar, 25 C to 1 bar. What is the temperature at the exit? b) Water is throttled from 20 bar, 25 C to 1 bar. What is the temperature at the exit?...

A thermally insulated turbine generates 750 kW of power by expanding steam from 500 C and 3.5 MPa to 200 C and 0.3 MPa. a) What is the mass flow rate of steam through the turbine? b) Because of...

Suppose the pump of Fig. P1419C is situated between two large water tanks with their free surfaces open to the atmosphere. Explain qualitatively what would happen to the pump performance curve if a...

Using the data on equipment costs given in this chapter or commercial cost-estimating software, estimate the cost of the following equipment: 1. A shell and tube heat exchanger, heat transfer area 50...

The maximum allowable temperature for a reactor is 800 K. At present our operating set point is 780 K, the 20-K margin of safety to account for fluctuating feed, sluggish controls, etc. Now, with a...

Every May 22 I plant one watermelon seed. I water it, I fight slugs, I pray, I watch my beauty grow, and finally the day comes when the melon ripens. I then harvest and feast. Of course, some years...

The kinetics of a particular catalytic reaction A R are studied at temperature T in a basket reactor (batch-solids and mixed flow of gas) in which the gas composition is kept unchanged, despite...

A reaction has the stoichiometric equation A + B = 2R. What is the order of reaction?

In the mid-nineteenth century the entomologist Henri Fabre noted that French ants (garden variety) busily bustled about their business on hot days but were rather sluggish on cool days. Checking his...

Calculate the stagnation temperature for air flowing at 200C and 1.5 atm if the velocity is 0.9 of the sonic velocity.

A vertical cylindrical reactor 2.5 m in diameter and 4 m high is cooled by spraying water on the top and allowing the water to flow down the outside wall. The water flow rate is 0.15 m 3 /min, and...

A vertical tubular condenser is to be used to condense 2,100 kg/h of ethyl alcohol. which enters at atmospheric pressure. Cooling water is to flow through the tubes at an average temperature of 30C....

An absorption column is fed at the bottom with a gas containing 5 percent benzene and 95 percent air. At the top of the column a nonvolatile absorption oil is introduced, which contains 0.2 percent...

Estimate the vapor pressure of ethanol at temperatures of T = 0, 50, 100, and 150C, using the following methods. A. The Antoine equation B. The Clausius-Clapeyron equation with H vap = 42.0 kJ/mol...

The leaders power that is based on personal identification, imitation, and charisma is known as ______ power.

The reversible liquid-phase reaction A B is carried out in a 12-dm 3 CSTR with heat exchange. Both the entering temperature, T 0 , and the heat exchange fluid, Ta, are at 330 K. An equal molar...

Laboratory tests of a membrane for \(\mathrm{H}_{2} / \mathrm{CH}_{4}\) separation gave a permeate composition of \(80 \% \mathrm{H}_{2}\) and a \(20 \%\) cut when the feed was \(50 \%...

A member having the dimensions shown is used to resist an internal bending moment of M = 90 kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown),...

The 200-kg block \(D\) is dropped from rest at a height \(h=1 \mathrm{~m}\) onto end \(C\) of the A992 steel W200 \(\times 36\) overhang beam. If the spring at \(B\) has a stiffness \(k=200...

A simple lumped-parameter model of a building, shown as the inverted link in Figure 6.68, can be used for preliminary study of earthquake dynamics. Derive the equations of motion for this two...

What is the formal concentration (expressed as mol/L = M) of NaCl when 32.0 g are dissolved in water and diluted to 0.500 L?

What is the purpose of the trap in Figure 2-17 and the watchglass in Figure 2-20? Figure 2-17 Figure 2-20 Gooch filter crucible To air -Rubber adaptor -Glass funnel To house vacuum Porous glass Gooch...

When 22.63 mL of aqueous NaOH were added to 1.214 g of cyclohexylaminoethanesulfonic acid (FM 207.29, structure in Table 8-2) dissolved in 41.37 mL of water, the pH was 9.24. Calculate the molarity...

A 25.00-mL sample containing Fe3 [1] and Cu 2+ required 16.06 mL of 0.050 83 M EDTA for complete titration. A 50.00-mL sample of the unknown was treated with NH4F to protect the Fe 3+ . Then Cu 2+...

Convert the following potentials. The Ag | AgCl and calomel reference electrodes are saturated with KCl. (a) 0.523 V versus S.H.E. = ? versus Ag | AgCl (b) -0.111 V versus Ag | AgCl = ? versus S.H.E....

If a sample for spectrophotometric analysis is placed in a 10-cm cell, the absorbance will be 10 times greater than the absorbance in a 1-cm cell. Will the absorbance of the reagent-blank solution...

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 .

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?

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...

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...

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...

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...

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...