The T-beam is subjected to a shear of V = 150 kN. Determine the amount of this force that is supported by the web B. 200 mm 40 mm V= 150 kN 200 mm 40 mm

Determine the location e of the shear center, point O, for the thin-walled member having a slit along its section. -100 mm- 100 mm Fe- 100 mm

Prove that the sum of the normal stresses x + y = x + y is constant. See Figs. 92a and 92b.

Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with respect to the element shown. Sketch the results on the element. 100 MPa 75 MPa 150 MPa

The stress acting on two planes at a point is indicated. Determine the shear stress on plane aa and the principal stresses at the point. 80 ksi 90 45 60 ksi i 60

Determine the equivalent state of stress on an element at the same point oriented 60° counterclockwise with respect to the element shown. Sketch the results on the element. 100 MPa 75 MPa 150 MPa

Determine the principal stresses in the box beam at points A and B. 1200 lb 800 lb 6 in. 6 in.T B 8 in. B sat25at -3 ft+2.5 ft+2.5 ft '8 in. -5 ft-

Determine the force in each member of the truss. State if the members are in tension or compression. 30 30 45 45 30 30 - 2 m 2 kN

Determine the force in members IH, ID, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m 3 kN 3 kN 3 kN 3 kN 1.5 kN |K oo...

Determine the force in members JI, IC, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m 3 kN 3 kN 3 kN 3 kN 1.5 kN IK H.

The tied three-hinged arch is subjected to the loading shown. Determine the components of reaction at A and C and the tension in the cable. 15 kN 10 kN 2 m -1 m-| -2 m -2 m- 0.5 m

Draw the shear and moment diagrams for each member of the frame. Assume the joint at A is a pin and support C is a roller.The joint at B is fixed.The wind load is transferred to the members at the...

A uniform live load of 1.75 kN/m and a single concentrated live force of 8 kN are placed on the floor beams. If the beams also support a uniform dead load of 250 N/m, determine (a) The maximum...

The beam is used to support a dead load of 500 lb/ft, a live load of 2 k/ft, and a concentrated live load of 8 k. Determine (a) The maximum positive (upward) reaction at A, (b) The maximum positive...

Determine the maximum moment in the suspended rail at point B if the rail supports the load of 2.5 k on the trolley. 8 ft- 8 ft -6 ft -6 ft B, A. 1 ft|2 ft 2.5 k

Determine the shear and moment throughout the beam as a function of x. -- L-

Determine the shear and moment throughout the beam as a function of x. Mo --

The L-shaped frame is made from two segments, each of length Land flexural stiffness EI. If it is subjected to the uniform distributed load, determine the vertical displacement of point B. Using...

Compute the pressure produced in the oil in a closed cylinder by a piston exerting a force of 2500 lb on the enclosed oil. The piston has a diameter of 3.00 in.

Air at 40C. Appendix D gives dynamic viscosity for a variety of fluids as a function of temperature. Using this appendix, give the value of the viscosity for the following fluids

If you want to choose a fluid that exhibits a small change in viscosity as the temperature changes, would you choose one with a high VI or a low VI?

Which type of viscosity measurement method uses the basic In the rotating-drum viscometer, describe how the velocity gradient is created in the fluid to be measured.definition of dynamic viscosity...

In a falling-ball viscometer, a steel ball with a diameter of 0.063 in is allowed to fall freely in a heavy fuel oil having a specific gravity of 0.94. Steel weighs 0.283 lb/in 3 . If the ball is...

Calculate the kinetic energy in Nm of a 3600-kg truck moving at 16 km/h. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Suppose a friend told you that the density of a sphere is 4/3 r 4 , where r is the radius of the sphere. Compute the dimensions of this expression and show that it cannot be correct.

A bucket contains several rocks with a combined mass (including the bucket) of 4.55 kg. Another rock of mass 0.224 kg is added to the bucket. What is the total mass of the bucket plus rocks? Be sure...

Show that the function is a nontrivial solution of the differential wave equation. In what direction does it travel? (z + vt U(Z, t) (12 + 2) = (1 2)p

For the manometer shown in Fig. 3.30, calculate (p A - p B ). Water IB 150 mm - Mercury (sg = 13.54) 900 mm Oil (sg = 0.86) 600 mm

What is the function of a barometer?

Use Fig. 4.47. The surface is 2.00 m long. Water 1.85 m 0.75-m radius

A 1.0-mW laser has a beam diameter of 2 mm. Assuming the divergence of the beam to be negligible, compute its energy density in the vicinity of the laser.

A ray of yellow light from a sodium discharge lamp falls on the surface of a diamond in air at 45. If at that frequency n d = 2.42, compute the angular deviation suffered upon transmission.

Considering the previous problem calculate R , R || , T , T || , and the net transmittance T and reflectance R.

A prism, ABC, is configured such that angle BCA = 90 and angle CBA = 45. What is the minimum value of its index of refraction if, while immersed in air, a beam traversing face AC is to be totally...

A cylindrical float has a 10-in diameter and is 12 in long. What should be the specific weight of the float material if it is to have 9/10 of its volume below the surface of a fluid with a specific...

A certain deep-well pump for a residence is rated to deliver 745 gal/h of water. Express this flow rate in ft 3 /s.

Bernoullis principle applies to Venturi tubes that are used in many practical devices such as air brush painters, vacuum systems, carburetors, water bed drains and many other devices. One such system...

Oil with a specific gravity of 0.90 is flowing downward through the venturi meter shown in Fig. 6.33. If the velocity of flow in the 2-in-diameter section is 10.0 ft/s, calculate the deflection h of...

For the siphon shown in Fig. 6.27, calculate (a) the volume flow rate of oil from the tank and (b) the pressures at points A, B, C, and D. +B 3,0 m Oil (sg - 0.86) 10.0 m 50-mm OD x 15-mm wall 25-mm...

For the siphon in Fig. 6.26, calculate the distance X required to obtain a volume flow rate of 7.1 Ã 10 -3 m 3 /s. +B Water 50-mm OD x 1.5-mm wall 25-mm diameter A+

A pressure washer available to home owners lists 1300 psi and 2 gpm among its specifications. We know, however, that the actual pressure of the water is atmospheric (0 gage) once it exits the nozzle....

Figure 7.14 shows a setup to determine the energy loss due to a certain piece of apparatus. The inlet is through a 2-in Schedule 40 pipe and the outlet is a 4-in Schedule 40 pipe. Calculate the...

Find the volume flow rate of water exiting from the tank shown in Fig. 7.12. The tank is sealed with a pressure of 140 kPa above the water. There is an energy loss of 2.0 Nm / N as the water flows...

A major water main is an 18-in ductile iron pipe. Compute the Reynolds number if the pipe carries 16.5 ft 3 /s of water at 50F.

As a test to determine the effective wall roughness of an existing pipe installation, water at 10C is pumped through it at the rate of 225 L/min. The pipe is standard steel tubing, 40 mm OD 2.0 mm...

In a chemical processing system, the flow of glycerin at 60F (sg = 1.24) in a copper tube must remain laminar with a Reynolds number approximately equal to but not exceeding 300. Specify the smallest...

Two forces are acting on an object. One force has a magnitude of 45 N and is directed along the +x axis. The other force has a magnitude of 30 N and is directed along the +y axis. What is the...

Evaluate R eq looking into each set of terminals for each of the circuits shown in Fig. 2.103 . a. b. 62 ww- 3 k2 2 k2 6 k2 ww 6 k2

Determine V in the circuit of Fig. 2.120. 30 2 ww- 16 2 10 15 2 20 100 V 35 2 12 2 +.

Find R ab in the four-way power divider circuit in Fig. 2.135 . Assume each R = 4 . ww- ww- ER ER R. :R

Repeat Prob. 2.75 for the eight-way divider shown in Fig. 2.136 . Prob 2.75 Find R ab in the four-way power divider circuit in Fig. 2.135. Assume each R = 4 Ω. inIim LinLw Lui bo ww- ww-...

Find the voltage across the capacitors in the circuit of Fig. 6.49 under dc conditions. 50 10 20 V2 C2 70 60 V (+I

Convert 2500 gal/min to ft 3 /s.

A heat sink for an electronic circuit is made by machining a pocket into a block of aluminum and then covering it with a flat plate to provide a passage for cooling water as shown in Fig. 9.22....

For the shell-and-tube heat exchanger described in Problem 9.25, compute the pressure difference for both fluids between two points 5.25 m apart if the heat exchanger is horizontal. In Problem Refer...

Repeat Problem 10.30 for a fully open gate valve. Repeat Problem Determine the equivalent length in meters of pipe of a fully open globe valve placed in a DN 250 Schedule 40 pipe.

Compute the energy loss that would occur as 50 gal/min of water flows from a tank into a steel tube with an OD of 2.0 in and a wall thickness of 0.065 in. The tube is installed flush with the inside...

Determine the energy loss for a gradual contraction from a DN 125 Schedule 80 steel pipe to a DN 50 Schedule 80 pipe for a flow rate of 500 L/min. The cone angle for the contraction is 105.

Figure 11.31 depicts a DN 100 Schedule 40 steel pipe delivering water at 15°C from a main line to a factory. The pressure at the main is 415 kPa. Compute the maximum allowable flow rate if the...

Oil is flowing at the rate of 0.015 m 3 /s in the system shown in Fig. 11.17. Data for the system are as follows: Oil specific weight = 8.80 kN/ m 3 Oil kinematic viscosity = 2.12 Ã 10 5 m 2...

A refracting astronomical telescope has an objective lens 50 mm in diameter. Given that the instrument has a magnification of 10 , determine the diameter of the eye-beam (the cylinder of light...

What must the focal length of a thin negative lens be for it to form a virtual image 50 cm away (measured from the lens) of an ant located 100 cm away (measured from the lens)? Given (just as a...

What is the speed of a satellite in a geosynchronous orbit about the Earth? Compare it with the speed of the Earth as it orbits the Sun.

A venturi meter similar to the one in Fig. 15.2 has an inlet diameter of 100 mm and a throat diameter of 50 mm. While it is carrying water at 80°C, a pressure difference of 55 kPa is observed...

The channel shown in Fig. 14.22 has a surface of floatfinished concrete and is laid on a slope that falls 0.1 m per 100 m of length. Calculate the normal discharge and the Froude number for a depth...

Find vo(t) in the circuit of Fig. 16.58 . 1H all 25e u(t) V 2 F=vo(t) 4.5u(t) A vo(t) 4 2 +1

The switch in the circuit of Fig. 16.47 has been closed for a long time but is opened at t = 0. Determine i(t) for t > 0. i(t) 2 40 V t = 0 -/4 1/2

If i s (t) = 7.5e 2t u(t) A in the circuit shown in Fig. 16.40 , find the value of i o (t). i,(t) is(t) 0.5 F 2 relle

A car (m = 1200 kg) is traveling at an initial speed of 15 m/s. It then slows to a stop over a distance of 80 m due to a force from the brakes. How much work is done on the car? Assume the...

Determine the resultant of the superposition of the parallel waves E 1 = E 01 sin (t + 1 ) and E 2 = E 02 sin (t + 2 ) when = 120, E 01 = 6, E 02 = 8, 1 = 0, and 2 = /2. Plot each function and...

Answer the following: (a) How many wavelengths of 0 = 500 nm light will span a 1-m gap in vacuum? (b) How many waves span the gap when a glass plate 5 cm thick (n = 1.5) is inserted in the path? (c)...

A standing wave is given by Determine two waves that can be superimposed to generate it. E = 100 sin 7x TX Cos 5Tt

Show that the group velocity can be written as dv = v - di Og

Figure P.7.42 depicts an electric field in time and the Fourier components that compose it. The units are arbitrary. Given that (a) Explain why the series contains both sine and cosine terms. (b) Why...

Examine Fig. P. 7.53, which shows three periodic functions and their corresponding Fourier frequency spectra. Discuss the graphs explaining whats happening in successive parts. What happens to the...

For the wheel described in Problem 16.22, compute the force exerted on the paddle when the wheel rotates at 40 rpm. In Problem Shown in Fig. 16.20 is a small decorative wheel fitted with flat paddles...

Compute the specific weight of air at 25 psig and 105F.

A skateboarder (m = 85 kg) takes a running jump onto a friend???s skateboard that is initially at rest as sketched in Figure P7.37. The friend is standing on the skateboard (mass of friend plus...

Cadmium red light has a mean wavelength of Î»Ì 0 = 643.847 nm (see Fig. 7.45) and a linewidth of 0.001 3 nm. When used to illuminate a Michelson Interferometer it is found that...

Imagine that we have an antenna at the edge of a lake picking up a signal from a distant radio star (Fig. P.9.32), which is just coming up above the horizon. Write expressions for δ and...

A 3 5 card containing two pinholes, 0.08 mm in diameter and separated center to center by 0.10 mm, is illuminated by parallel rays of blue light from an argon ion laser ( 0 = 487.99 nm). If the...

Will we get an interference pattern in Youngs Experiment (Fig. 9.11) if we replace the source slit S by a single long-filament lightbulb? What would occur if we replaced the slits S 1 and S 2 by...

Referring back to the multiple antenna system on p. 456, compute the angular separation between successive lobes or principal maxima and the width of the central maximum.

In the system of Figure 10-33, A, B, and C are BILBO registers. The B 1 and B 2 inputs to each of the registers determine its BILBO operating mode as follows: B 1 B 2 = 00, shift register; B 1 B 2 =...

Consider the Fraunhofer diffraction pattern for eight very narrow parallel slits under monochromatic illumination. (a) Sketch the resulting irradiance distribution. (b) Explain why the first minimum...

A car has a top speed of 70 m/s (about 150 mi/h) and has wheels of radius 30 cm. If the car starts from rest and reaches its operating speed after 9.0 s, what is the angular acceleration of the...

An air duct in a building has a radius of 10 cm and a length of 10 m. What pressure is required to push air through the duct at a flow rate of 1.0 m 3 /s?

Determine the sign of each charge q a , q b , and q c in Figure Q17.3. a 9b

When two objects (such as a glass rod and a silk cloth) are rubbed together, electrons can be transferred from one to the other. Can protons also be transferred? Explain why or why not.

A point particle with charge q = 4.5 C is placed on the x axis at x = -10 cm and a second particle of charge Q = 6.7 C is placed on the x axis at x = +25 cm. (a) Determine the x and y components of...

Two particles with the same charge are attached to strings that are 80 cm long and that hang from a ceiling as shown in Figure P17.97. If the angle between the strings is ? = 60? and the particles...

You are given four resistors, each with resistance R. Devise two ways to connect these resistors to get a total equivalent resistance less than R. Figure Ans Q19.12

Two resistors with R 1 = 1500 V and R 2 = 3500 V are connected in series as shown in Figure P19.29. (a) If the battery emf is = 12 V, what is the current through each of the resistors? (b) What is...

How could you connect another resistor to the circuit in Figure P19.42 so as to reduce the brightness of the bulb? That is, would you connect the new resistor to points A and B, A and C, or B and C?...

A particle of unknown charge has a velocity along the +y direction. There is a constant magnetic field along the +z axis, and it is found that the magnetic force on the particle is along +x. Is the...

When a large, time- varying current fl ows through a coil, a piece of steel placed within the coil will quickly become red hot (Fig. Q21.17). Why? If a piece of copper were placed in the coil, would...

The following Verilog code defines a function that computes the factorial of a number recursively. The automatic keyword is used to allow the function to be called recursively. Fill in the missing...

The Curiosity rover touched down on Mars when Earth and Mars were 14 light-minutes apart. At the instant of touchdown, clocks at Mission Control in Pasadena, California, read 10:31 pm. As judged by...

Linear light polarized horizontally passes through a quarterwave plate whose fast axis is /8 rad above the horizontal. Use the phasor method to graphically determine the polarization state of the...

Figure P.11.49 shows a transparent ring on an otherwise opaque mask. Make a rough sketch of its autocorrelation function, taking l to be the center-to-center separation against which you plot that...