Determine the maximum force P that can be applied without causing the two 50-kg crates to move. The coefficient of static friction between each crate and the ground is s = 0.25. A B 30

The automobile jack is subjected to a vertical load of F = 8 kN. If a square-threaded screw, having a lead of 5 mm and a mean diameter of 10 mm, is used in the jack, determine the force that must be...

The friction pawl is pinned at A and rests against the wheel at B. It allows freedom of movement when the wheel is rotating counterclockwise about C. Clockwise rotation is prevented due to friction...

(a) Evaluate the relevant part of the integral to find the interaction energy V E between two identical insulating spheres, each with radius R and charge Q distributed uniformly over their surfaces....

Assume that (r) and |G(r)| both go to zero faster than 1/r as r . (a) Let F = and G = 0. Show that d 3 r F G = 0. (b) Let F = and G = 0. Show that d 3 r F G = 0. (c) Begin with the vector...

Show that D(x) = lim m sin mx/x is a representation of (x) by showing that dxf (x)D(x) = (0).

Use the Levi-Civit`a symbol to prove that (a) (A B) (C D) = (A C)(B D) (A D)(B C). (b) (f g) = g ( f) f ( g). (c) (A B) (C D) = (A C D)B (B C D)A. (d) The 2 2 Pauli matrices x...

Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s. It takes the driver of...

Application 6.3 modeled a meson (a quark-antiquark pair) as a finite dipole placed at the center of a spherical cavity with radius R and unit dielectric constant scooped out of an infinite medium...

The text used Poissons equation to show that the charge density of a point electric dipole with moment p located at the point r 0 is D (r) = p (r r 0 ). (a) Derive the given formula for D (r)...

For a short time, the 250-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s. If the track descends d = 12 m for every full revolution, = 2...

The 150-lb man lies against the cushion for which the coefficient of static friction s = 0.5 is Determine the resultant normal and frictional forces the cushion exerts on him due to rotation about...

A large stone having a mass of 500 kg is moved along the incline using a series of 150-mm-diameter rollers for which the coefficient of rolling resistance is 3 mm at the ground and 4 mm at the bottom...

Determine the minimum tension in the rope at points A and B that is necessary to maintain equilibrium. Take s = 0.3 between the rope and the fixed post D. 300 lb T D B 60 A

The tongs are used to suspend the 80-kg plate. Determine the smallest coefficient of static friction to prevent slipping of the plate. 150 mm C 20 mm, A P -150 mm 200 mm B 150 mm 150 mm

Solve Prob. 826 if the truck and crate are resting on an upward 10 incline. Prob. 826 The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can move if (a) the...

Determine the normal force, shear force, and moment at points C and D. A 2 ft 6 ft C 45% 3 ft D 2 kip/ft 3 ft B

The disk rolls without slipping such that it has an angular acceleration of = 4 rad/s 2 and angular velocity of = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the...

Determine the velocity of the center of gravity G of the connecting rod at the instant shown. Piston is moving upward with a velocity of 300 in./s. Up = 300 in./s G 30 P O B. 5 in. 2.75 in. 1.45 in.

If the motor turns gear A with an angular acceleration of A = 3 rad/s when the angular velocity is A = 60 rad/s, determine the angular acceleration and angular velocity of gear D. A B -100 mm C 40...

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 20-kg disk strikes the step without rebounding. Determine the largest angular velocity 1 the disk can have without losing contact with the step A. 200 mm A 130 mm

The frame of the roller has a mass of 5.5 Mg and a center of mass at G. The roller has a mass of 2 Mg and a radius of gyration about its mass center of k A = 0.45 m. If a torque of M = 600 N m is...

The drum of mass m, radius r, and radius of gyration K G rolls along an inclined plane for which the coefficient of static friction is s . If the drum is released from rest, determine the maximum...

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...

Two wires have been placed close together on a chip. They are so close, in fact, that the larger wire (the aggressor) couples to the smaller wire (the victim) and causes the voltage on the victim...

A hydraulic turbine is fed with water from a reservoir whose free surface is at z 1 = 22 m a.s.l. (above sea level). Water enters the turbine inlet pipe, flows through the turbine and its diffuser,...

An impact press consists of a piston that is accelerated rapidly by pumping high pressure gas into the cylinder. The high-speed piston slams into the material to be flattened. Derive the equations...

Write and verify the VHDL for the SOS flasher (datapath + microcoded FSM) of Exercise 18.7. Data in Exercise 18.7. Modify the microcoded FSM and microcode from Section 18.1 and Exercise 18.6 to act...

It has been proposed that energy be taken as heat from the atmosphere around Madagascar and used to run a power plant. Energy would be rejected as heat to the Indian Ocean. Estimate the maximum...

Oxygen flows through an adiabatic steady flow compressor as saturated vapor at a rate of 1000 kg/hr. The saturated vapor enters at 2.5 bar and exits at 17.5 bar and 175 K. Calculate the shaft work...

Potassium, an alkali metal, enters a condenser in the vapor phase with a mass flow rate of 0.02 kg/s and at a temperature and pressure of 1370 K and 0.4 MPa. It exits as a saturated liquid at 0.2...

An adiabatic pistoncylinder system contains a 1000 W immersion heater and 4 kg of water. The water is initially at 1 atm and 96% quality. The heater is operated for 7 minutes. Calculate the final...

Calculate the mass flow rate of the steam that enters an adiabatic duct with a velocity of 10 m/s, at a pressure of 1.5 bar and a temperature of 400C. The duct has a diameter of 0.16 m at the inlet...

One kilogram of carbon dioxide is expanded adiabatically in a pistoncylinder system from 10 bar and 500 K to the saturated-vapor state at 5 bar. How much work is done by carbon dioxide and on what?...

One kilogram of R134a is heated in a constant volume container from the critical point to 450 K. How much energy is transferred as heat to the fluid? Use the diagrams or data in Appendix A.4. Data...

A fluid formed by pentane and hexane obeys Raoults law quite well. Such a mixture can be used for example as the working fluid of an organic Rankine cycle power plant. The vapor pressure of pure...

Let V be the water velocity in a river of width w and depth d, flowing along at a height h above a hydraulic power station. Show that the maximum electrical power that could be obtained by converting...

A laboratory analysis shows that CO 2 becomes 10 % dissociated into CO and O 2 at 2390 K if the total pressure is 1 atm. Obtain the equilibrium constant from this information and compare it to the...

Compute the standardized enthalpy and entropy of a mixture formed by an equal mass amount of CO 2? and H 2 O at 2 atm and 311 K. If liquid is present for these conditions, assume that the vapor phase...

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...

Consider the recuperator of the supercritical CO 2 cycle power plant of Exercise 7.19 Assume that the energy rejected to the environment from the surface of the insulating material covering the...

Determine the efficiency and the net mechanical power output of the system of Exercise 7.15 in the case where the compressor includes one inter-cooling stage, the isentropic efficiency of the...

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

A renewable energy system for the (co)generation of electricity and cooling in sunny areas of the world consists of a solar Organic Rankine Cycle (ORC) power system, whose discharged thermal power is...

The fuel efficiency of reciprocating engines could be greatly increased (and thus pollution decreased) if the thermal energy that is wasted with the exhaust gases and by cooling the engine jacket and...

Consider a closed recuperative Brayton cycle turbine power plant employing supercritical CO 2? as the working fluid. The working fluid at the compressor inlet is at T = 32?C and P = 7.7 MPa. CO 2...

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.

In the regenerative gas turbine power plant whose process flow diagram is shown in Figure 7.27a, the mass flow of air entering the compressor at 1 bar and 25?C is 17.9 kg/s. The pressure ratio of the...

Calculate the increase in thermal efficiency due to the introduction of a regenerating dearator in the Rankine-cycle power plant of Exercise 7.5. The plant operates at the optimal pressure (the...

Determine the change in specific entropy in kJ/(kg ? K) between the states:? (a) Air, P 1 = 0.1 MPa, T 1 = 20?C, P 2? = 0.1 MPa, T 2? = 120?C;(b) Air, P 1 = 1 bar, T 1 = 27 ?C, P 2? = 3 bar, T 2? =...

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...

When designing the air-conditioning system of an airplane, the work required to is entropically compress air must be calculated. Consider the process at steady state, the inlet compressor pressure is...

Calculate the thermodynamic pressure of saturated water vapor at 100?C and compare the result with what can be obtained from tabulated values of vapor?liquid equilibrium pressures in Appendix A.3....

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...

Compute the maximum quality of oxygen that can be achieved by expanding it adiabatically in a piston?cylinder system from the saturated vapor state at 10 bar to twice the volume. Use Appendix A.8 for...

Steam enters the nozzle of a turbine with a velocity of 3 m/s at a pressure of 35 bar and a temperature of 800 K. At the exit of the nozzle the pressure and temperature are found to be 1 bar and 400...

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...

Steam enters an adiabatic diffuser at 800 m/s as a saturated vapor at 0.4 MPa. What is the maximum possible discharge pressure? Use Appendix A.3 for data. Data From A.3 SIV / T/ piat / v/ $ 1 UV/...

Referring to Appendix A.4, compute the minimum amount of power required by an adiabatic compressor that handles 5 kg/min of R134a, compressing it from a temperature and pressure of 320 K and 0.6 bar...

The conveyor fixture shown in Figure P362 carries three heavy assemblies (1200 lb each). Compute the maximum stress in the fixture, considering stress concentrations at the fillets and assuming that...

Thermal power systems for use in space normally reject energy as heat by radiating it into space. Since fluid-filled radiators are generally quite heavy, it has been suggested that this energy be...

An alkali metal, potassium, is the working fluid in a nuclear power system that was proposed in the 1960s for space application, either on board of a spacecraft or in power stations on the Moon or...

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...

Two adjacent tanks are connected by a valve. The tank on the left contains 0.5 kg of water at a pressure of 11 bar and a temperature of 600 K. The tank on the right contains 0.25 kg of saturated...

A 2 m 3? container for heating water is initially filled with H 2 O liquid and vapor at 400 K, with 20% of the volume being liquid. Use the aatables in Appendix A.3 to work this exercise. Check your...

Determine the energy transfer as heat (J) required to change the state of 2 kg of methane from a saturated liquid at 1 atm to a gas at 300 K and 1 atm, assuming that the methane is confined at...

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...

5 kg of refrigerant 134a at a pressure of 7.5 bar and 0.7 quality is to be cooled inside a sealed rigid container until the pressure reaches 2.1 bar. Referring to the tables in Appendix A.4,...

Refrigerant 134a in a heat pump is compressed in an adiabatic piston?cylinder system from 0.14 MPa, 280 K to 1 MPa, 400 K. Calculate the work done on the fluid by the piston. Use the tables in...

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

Determine the force in each member. AE is constant. 4 kN 6 kN 4 m. Prob. 9-25 D C. B 3 m 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...

Propane is in a 5 m 3 container as a saturated vapor at 300 K. The sealed tank is then cooled to 260 K by fresh snow. What are the pressure (Pa) and liquid volume in this 260 K state, and how much...

Calculate the density of gaseous CO 2 at each of the following states:a. 10 bar, 290 K,b. 30 bar, 333 K,c. 100 bar, 410 K,Using the perfect gas model. Compare the values obtained with the values...

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...

The actone(1) + chloroform(2) system has an azeotrope at x 1 = 0.38, 248 mmHg, and 35.17C. Fit the Wilson equation, and predict the P-x-y diagram.

Two long blocks, made up of different homogeneous materials, are at temperatures T 1 and T 2 when they are brought into contact with one another. The interface quickly reaches a temperature T 0 given...

How to Interpolate. Apply interpolation to the property data in Table B.2 to determine the following properties of saturated vapor H 2 O:A. The specific volume at 50.8 kPa.B. The saturation...

A heat exchanger is made up of two identical pipes separated by an impermeable diathermal wall of section area A, thickness h and thermal conductivity . In both pipes, a liquid flows at uniform...

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...

How to Interpolate. Apply interpolation to the property data in Table B.1 to determine the following properties of saturated liquid H 2 O:A. The specific volume at 300.7 KB. The saturation pressure...