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Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be... Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. a. b. c. d. The beams AB and BC are supported by the cable that has a parabolic shape. Determine the tension in the cable at points D, F, and E, and the force in each of the equally spaced hangers. 3'm 9 m A B 5... Draw the shear and moment diagrams for each member of the frame. The joints at A, B, and C are pin connected. 250 lb/ft B 120 lb/ft JA 6 ft- 6 ft 8 ft 60 Draw the shear and moment diagrams for each member of the frame.The members are pin connected at A, B, and C. 15 kN 10 kN -2 m -2 m -2 m A 4 kN/m 6 m 45% Draw the shear and moment diagrams for each member of the frame. Assume A is fixed, the joint at B is a pin, and support C is a roller. 20 k 0.5 k/ft B 8 ft |A - 6 ft- 6 ft The compound beam is subjected to a uniform dead load of 1.5 kN/m and a single live load of 10 kN. Determine (a) The maximum negative moment created by these loads at A, and (b) The maximum positive... Determine the absolute maximum moment in the beam due to the loading shown. 20 kN 40 kN 25 kN 15 mo -12 m- Determine the maximum moment at C caused by the moving load. 2400 lb 2 fi1 ft -15 ft -15 ft Use the cantilever method and determine (approximately) the reactions at supports A, B, C, and D. All columns have the same cross-sectional area. K 9 kN 4 m 12 kN 4 m 5 m 5 m 5 m - Determine the displacement at C. Assume A is a fixed support,Bis a pin, and Dis a roller. EI is constant. Use the conjugate-beam method. 25 kN -3 m -3 m 3 m Determine the equations of the elastic curve using the coordinates x 1 and x 3 , and specify the slope and deflection at point B. EI is constant. X2 L - Use the method of virtual work and determine the horizontal deflection at C. EI is constant. There is a pin at A. Assume C is a roller and B is a fixed joint. 400 lb/ft 6 ft 10 ft 45 Convert 3.65 10 3 cubic millimeters to cubic meters. The fuel tank of an automobile holds 0.095 m 3 . If it is full of gasoline having a specific gravity of 0.68, calculate the weight of the gasoline. Which would have the greater dynamic viscosity, a cold lubricating oil or fresh water? Why? Calculate the mass of a body in kg if it has a kinetic energy of 38.6 Nm when moving at 31.5 km/h. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity. The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN. Determine which of the following describe traveling waves: (a) (b) (c) (d) Where appropriate, draw the profile and find the speed and direction of motion. (y, t) = ea*y+br2abty) | V(z, t) = A sin (az... Show that the function is a solution of the differential wave equation. In what direction does it travel? (y, t) = (y 41) Write the expression relating gage pressure, absolute pressure, and atmospheric pressure. If milk has a specific gravity of 1.08, what is the pressure at the bottom of a milk can 550 mm deep? A water storage tank is on the roof of a factory building and the surface of the water is 50.0 ft above the floor of the factory. If a pipe connects the storage tank to the floor level and the pipe... For the tank shown in Fig. 3.21, determine the reading of the bottom pressure gage in psig if the top of the tank is sealed, the top gage reads 50.0 psig, and the depth of the oil h is 28.50 ft. Air... For the tank in Fig. 3.22, compute the depth of the water if the depth of the oil is 6.90 m and the gage at the bottom of the tank reads 125.3 kPa(gage). Vent Oil (sg = 0.86) h2 Water Refer to Fig. 4.32. 30 Orange (sg - 1.10) drink 3.0 m 4.6 m 2.4-m diameter 1.2 m Circular view port For the water tank shown in Fig. 4.43, compute the magnitude and location of the total force on the vertical back wall. 8 ft Water 60 15 ft 10 ft Prove that for a vacuum-dielectric interface at glancing incidence r ¥ -1, as in Fig. 4.49. Fig. 4.49. 1.0 0.5 -0.5 56.3 -1.0 30 90 0; (degrees) Amplitude coefficients A concrete block with a specific weight of 23.6 kN/m 3 is suspended by a rope in a solution with a specific gravity of 1.15. What is the volume of the concrete block if the tension in the rope is... A steel cube 100 mm on a side weighs 80 N. We want to hold the cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 470 N/m 3 , what is the minimum required volume... Figure 6.16 shows a fabricated assembly made from three different sizes of standard steel tubing listed in Appendix G.2. The larger tube on the left carries 0.072 m 3 /s of water. The tee branches... A standard Schedule 40 steel pipe is to be selected to carry 10 gal/min of water with a maximum velocity of 1.0 ft/s. What size pipe should be used? If water at 180 F is flowing with a velocity of 4.50 ft/s in a standard 6-in Schedule 40 pipe, calculate the weight flow rate in lb/h. The recommended velocity of flow in the discharge line of an oil hydraulic system is in the range of 8.0 to 25.0 ft/s. If the pump delivers 30 gal/min of oil, specify the smallest and largest... A spacecraft that is initially at rest turns on its engine at t - 0. If its mass is m - 3000 kg and the force from the engine is 45 N, what is the acceleration of the spacecraft? A rock is dropped from a very tall tower. If it takes 4.5 s for the rock to reach the ground, what is the height of the tower? A spa tub is to be designed to replace bath tubs in renovations. There are to be 6 outlet nozzles, each with a diameter of 12 mm, and each should have an outlet velocity of 12 m/s. What is the... Solve Problem 6.88 using the direct application of torricelli's theorem. What depth of fluid above the outlet nozzle is required to deliver 200 gal/min of water from the tank shown in Fig. 6.37? The... For the tank shown in Fig. 6.38, compute the velocity of flow from the outlet nozzle at varying depths from 10.0 ft to 2.0 ft in 2.0-ft increments. Then, use increments of 0.5 ft to zero. Plot the... Figure 6.37 shows a venturi meter with a U-tube manometer to measure the velocity of flow. When no flow occurs, the mercury column is balanced and its top is 300 mm below throat. Compute the volume... Figure 6.36 shows a system in which water flows from a tank through a pipe system having several sizes and elevations. For points A-G, compute the elevation head, the pressure had, the velocity head,... For the venturi meter shown in Fig. 6.30, calculate the manometer deflection h if the velocity of flow of water in the 25-mm-diameter section is 10 m/s. Direction of flow 25-mm diameter 50-mm... A standard 6-in Schedule 40 steel pipe is carrying 95 gal/min of water. The pipe then branches into two standard 3-in pipes. If the flow divides evenly between the branches, calculate the velocity of... Repeat Problem 6.51 for a 4-in Schedule 80 pipe. Repeat Problem Compute the resulting velocity of flow if 400 gal/min of fluid flows through a 4-in Schedule 40 pipe. A standard steel tube, 1.5 25-mm OD 1.5-mm wall (Appendix G.2), is carrying 19.7 L/min of oil. Calculate the velocity of flow. Water flows at 1.20 m/s in a circular section with a 150 mm inside diameter. Calculate the velocity of flow in a 300-mm-diameter section connected to it. Oil with a specific weight of 55.0 lb / ft 3 flows from A to B through the system shown in Fig. 6.35. Calculate the volume flow rate of the oil. A 4-in-ductile iron pipe carries 0.20 ft 3 /s of glycerin (sg = 1.26) at 100F. Is the flow laminar or turbulent? Calculate the maximum volume flow rate of fuel oil at 45C at which the flow will remain laminar in a DN 100 Schedule 80 steel pipe. For the fuel oil, use sg = 0.895 and dynamic viscosity = 4.0 10 -2... In a dairy, milk at 100F is reported to have a kinematic viscosity of 1.30 centistokes. Compute the Reynolds number for the flow of the milk at 45 gal/min through a 1-in steel tube with a wall... A tremendous amount of study has gone into the fluid effects of air over various spheres due to the impact on sports and recreation. Golf balls, for example, are dimpled due to the tremendous effect... Water at 10C flows at the rate of 900 L/min from the reservoir and through the pipe shown in Fig. 8.16. Compute the pressure at point B, considering the energy loss due to friction, but neglecting... Find I in the circuit of Fig. 2.110. 20 2 24 2 10 2 140 V 36 2 ww- 362 14 2 362 Find i and V o in the circuit of Fig. 2.100 . 80 2 24 Q ww 25 2 30 : 20 20 V V. 20 2 60 Find V o in the circuit in Fig. 2.86 and the power absorbed by the dependent source. 10 2 + V.- 2 V. 25 A 10 2 Find I and V in the circuit of Fig. 2.82. 4 A 202 -2 A 10 2 20 2 3A Use nodal analysis to find V o in the circuit of Fig. 3.72 . 3V 30 60 30 . 30 V 60 +1 If the voltage across a 7.5-F capacitor is 2te 3t V, find the current and the power. A simple heat exchanger is made by installing a close return bend on two ½-in Schedule 40 steel pipes as shown in Fig. 10.32. Compute the pressure difference between the inlet and the outlet... Determine the energy loss for a gradual contraction from a 4-in Schedule 80 steel pipe to a 1-in Schedule 80 pipe for a flow rate of 250 gal/min. The cone angle for the contraction is 76. Determine the energy loss when oil with a specific gravity of 0.87 flows from a 4-in pipe to a 2-in pipe through a sudden contraction if the velocity of flow in the larger pipe is 4.0 ft/s. Determine the pressure difference between two points on either side of a sudden enlargement from a tube with a 2-in ID to one with a 6-in ID when the velocity of flow of water is 4 ft/s in the... The tank shown in Fig. 11.24 is to be drained to a sewer. Determine the size of new Schedule 40 steel pipe that will carry at least 400 gal/min of water at 80 F through the system shown. The total... For the system in Fig. 11.26, compute the total head on the pump and the power delivered by the pump to the coolant. Figure 11.26 4 ft Flow 20 GPM 4.0 ft 4.0 ft L- 30 ft 1.0 ft 10 GPM Flow 18 ft 2.0... Water at 60F is to flow by gravity between two points, 2 mi apart, at the rate of 13 500 gal/min. The upper end is 130 ft higher than the lower end. What size concrete pipe is required? Assume that... Write a Verilog module that describes a 16-bit serial-in, serial-out shift register with inputs SI (serial input), EN (enable), CK (clock, shifts on rising edge), and a serial output (SO). In the following circuit, the XOR gate has a delay in the range of 2 to 16 ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24 ns. The setup time is 8 ns, and the hold... A 4-bit magnitude comparator chip (e.g., 74LS85) compares two 4-bit numbers A and B and produces outputs to indicate whether A < B, A = B, or A > B. There are three output signals to indicate each of... It is desired to carry 2.00 m 3 /s of water at a velocity of 3.0 m/s in a rectangular open channel. The bottom width is 0.80 m. Compute the depth of the flow and the hydraulic radius. Find v(t) for t > 0 in the circuit in Fig. 16.50 . t= 0 1H v = 4 F 10 5 6u(t) A 4.5 A Use the complex representation to find the resultant E = E 1 + E 2 , where E 1 = E 0 cos (k x + t) and E 2 = -E 0 cos (k x - t) Describe the composite wave. A baseball pitcher (m = 80 kg) is initially standing at rest on an extremely slippery, icy surface. He then throws a baseball (m = 0.14 kg) with a horizontal velocity of 50 m/s. What is the recoil... A constant force of magnitude 25 N acts on an object for 3.0 s. What is the magnitude of the impulse? Using the setup of Fig. 9.14, where the second lens has a focal length of f, determine an expression (in terms of f, , and a) for the separation between the centers of the first minima above and... The light from an ordinary flashlight is passed through a linear polarizer with its transmission axis vertical. The resulting beam, having an irradiance of 200 W/m 2 , is incident normally on a... (a) Draw a circuit diagram for an LFSR with n = 6 that generates a maximum-length sequence. (b) Add logic so that 000000 is included in the sequence. (c) Determine the 10 elements of the sequence... Water is flowing through a pipe (area 4.0 cm 2 ) that connects to a faucet adjusted to have an opening of 0.50 cm 2 . If the water is flowing at a speed of 5.0 m/s in the pipe, what is its speed as... The displacement of a harmonic oscillator is given by y = 3.4 sin(25t), where the units of y are meters and t is measured in seconds. Find (a) The amplitude (b) The frequency. A mass-on-a-spring system has m = 50 kg and k = 200 N/m. The mass is pulled a distance 0.25 m from its equilibrium position and then released. (a) What is the maximum acceleration of the mass? (b)... Spruce is a type of wood that is widely used in making musical instruments (such as violins and guitars) because its Youngs modulus is high and its density is low. If Y = 1.5 10 10 Pa and 420 kg/m... A shear force of 3.0 ? 10 5 N is applied to an aluminum bar of length L = 20 cm, width w = 5.0 cm, and height h = 2.0 cm as shown in Figure 11.23 . What is the shear deformation??x? Figure 11.23 ? A... A wave on a string has a speed of 200 m/s. If the diameter of the string is increased by a factor of two and the tension is held fixed, what is the speed of the wave on this new string? Using Equation 12.1, write the equation of a wave on a string that has an amplitude of 0.30 m, a frequency of 350 Hz, and a velocity of 250 m/s and travels to the right. Waves on a violin string travel at 900 m/s. If the string has a tension of 50 N and is 0.33 m long, what is its mass? Consider a standing wave that has a frequency of 2000 Hz and a speed of 300 m/s. What is the distance between a node and the nearest anti node? A violin string is 35 cm long and has a fundamental standing wave frequency of 440 Hz. If the tension is 75 N, what is the mass of the string? Sonar is a system similar to radar except that sound is used in place of radio waves. Sonar systems are generally operated under water, where the speed of sound is approximately 1500 m/s. Suppose you... A light bulb emits a spherical wave. If the intensity of the emitted light is 1.0 W/m 2 at a distance of 2.5 m from the bulb, what is the intensity at a distance of 4.0 m? A point source emits sound with a power of 250 W. What is the intensity level in decibels at a distance of 35 m? What is the pressure amplitude of a sound wave if the intensity level is 40 dB? Consider a sound wave of frequency f generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What... A guitarist plucks two strings simultaneously. One string is tuned to a (fundamental) frequency of 340.0 Hz. It is found that beats are audible, with a beat frequency of 0.5 Hz. What are possible... A siren has a frequency of 950 Hz when it and an observer are both at rest. The observer then starts to move and finds that the frequency he hears is 1000 Hz. (a) Is the observer moving toward or... When a glass rod is rubbed with silk, the rod becomes positively charged, but when a rubber rod is rubbed with fur, the rubber becomes negatively charged. Suppose you have a charged object but dont... Describe a compound manometer. Figure 11.25 depicts gasoline flowing from a storage tank into a truck for transport. The gasoline has a specific gravity of 0.68 and the temperature is 25?C. Determine the required depth h in the... The physics of a refrigerator most closely resembles the physics of a. a heat engine b. the melting of ice c. the freezing of water d. the evaporation of water Give the major product(s) of each of the following reactions. Write the expected major product of reaction of 1-propynyllithium, CH 3 C C - Li + , with each of the following molecules in THF. CI () C,CH,Br (b) () clohexanone CH3 (d) -H () C,CHH (f) The 1 H NMR spectrum of naphthalene shows two multiplets (Figure 15-16). The upfield absorption ( = 7.49 ppm) is due to the hydrogens at C2, C3, C6, and C7, and the downfield multiplet ( = 7.86 ppm)...
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