Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5, Problem 19P
To determine
The flow through the concreted culvert.
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Problem 3: The inertia matrix can be written in dyadic form which is particularly useful
when inertia information is required in various vector bases. On the next page is a right
rectangular pyramid of total mass m. Note the location of point Q.
(a) Determine the inertia dyadic for the pyramid P, relative to point Q, i.e., 7%, for unit
vectors ₁₁, 2, 3.
Can you solve for v? Also, what is A x u
The external loads on the element shown below at the free end are F = 1.75 kN, P = 9.0
kN, and T = 72 Nm.
The tube's outer diameter is 50 mm and the inner diameter is 45 mm.
Given: A(the cross-sectional area) is 3.73 cm², Moment inertial I is 10.55 cm4, and J
polar moment inertial is 21.1 cm4.
Determine the following.
(1) The critical element(s) of the bar.
(2) Show the state of stress on a stress element for each critical element.
-120 mm-
F
Chapter 5 Solutions
Fluid Mechanics (2nd Edition)
Ch. 5 - Prob. 1FPCh. 5 - Oil is subjected to a pressure of 300 kPa at A,...Ch. 5 - Prob. 3FPCh. 5 - Water flows through the pipe at 8 m/s. Determine...Ch. 5 - The tank has a square base and is filled with...Ch. 5 - Prob. 6FPCh. 5 - Water flows from the reservoir through the...Ch. 5 - Crude oil flows through the 50-mm-diameter pipe...Ch. 5 - Water at A has a pressure of 400 kPa and a...Ch. 5 - Water from the reservoir flows through the...
Ch. 5 - Prob. 11FPCh. 5 - The jet engine takes in air and fuel having an...Ch. 5 - Determine the required average change in pressure...Ch. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Air at 60°F flows through the horizontal tapered...Ch. 5 - Prob. 5PCh. 5 - The water in an open channel drainage canal flows...Ch. 5 - Water flows out of a faucet at A at 6 m/s....Ch. 5 - Water flows through the 30-mm-diameter pipe at...Ch. 5 - Water flows through the 30-mm-diameter pipe and is...Ch. 5 - Drainage under a canal is provided using a...Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - A fountain is produced by water that flows up the...Ch. 5 - Prob. 14PCh. 5 - Air is drawn into the 200-mm-diameter cylinder...Ch. 5 - The level of mercury in the manometer has the...Ch. 5 - A fountain ejects water through the two nozzles A...Ch. 5 - Prob. 18PCh. 5 - Heavy rain has caused reservoir A to reach a...Ch. 5 - A fire hydrant supplies water under a pressure of...Ch. 5 - Determine the velocity of water through the pipe...Ch. 5 - The sewage siphon regulates the level of water in...Ch. 5 - If the manometer contains mercury, determine the...Ch. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - When the valve at A is opened, the initial...Ch. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Air is pumped into the top of the tank so that the...Ch. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - A river has an average width of 5 m. Just after...Ch. 5 - A river has an average width of 5 m and flows with...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Water flows through the transition at 0.3 m3/s,...Ch. 5 - If the water in piezometers A and B rises to hA =...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Water flows through the pipe transition with a...Ch. 5 - Water from a faucet tapers from a diameter of 0.5...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - If the pressure at A is 325 kPa, and the velocity...Ch. 5 - If the pressure at A is 215 kPa, and the velocity...Ch. 5 - Prob. 47PCh. 5 - If the difference in the level of mercury within...Ch. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - If the pressure in the 6-in.-diameter pipe at A is...Ch. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - The solution is ejected from the 20-mm-diameter...Ch. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Water from the large closed tank is to be drained...Ch. 5 - Prob. 64PCh. 5 - Carbon dioxide at 20°C passes through the...Ch. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Determine the average velocity and the pressure in...Ch. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Water at a pressure of 12 psi and a velocity of 5...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - The siphon spillway provides an automatic control...Ch. 5 - Prob. 77PCh. 5 - A piezometer and a manometer containing mercury...Ch. 5 - Water is drawn into the pump, such that the...Ch. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - A pump is used to deliver water from a large...Ch. 5 - A 6-hp pump with a 3-in.-diameter hose is used to...Ch. 5 - The pump is used with a 3-in.-diameter hose to...Ch. 5 - Solve Prob. 5–86 by including frictional head...Ch. 5 - The pump discharges water at B at 0.3 ft3/s. If...Ch. 5 - Prob. 89PCh. 5 - Draw the energy and hydraulic grade lines for the...Ch. 5 - The turbine removes energy from the water in the...Ch. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Water in the reservoir flows through the...Ch. 5 - Prob. 95PCh. 5 - Determine the power delivered to the turbine if...Ch. 5 - The turbine at C draws a power of 90.5 hp. If the...Ch. 5 - Prob. 98PCh. 5 - Prob. 99PCh. 5 - Prob. 100PCh. 5 - The pump is connected to the 2-in.-diameter hose....Ch. 5 - Prob. 102PCh. 5 - Prob. 103PCh. 5 - Prob. 104PCh. 5 - Prob. 105PCh. 5 - Crude oil is pumped from a test separator at A to...Ch. 5 - Prob. 107PCh. 5 - Prob. 108PCh. 5 - Determine the power that the pump supplies to the...Ch. 5 - The pump delivers water at 120 ft3/min from the...Ch. 5 - Prob. 111PCh. 5 - Prob. 112P
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- A crate weighs 530 lb and is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 42 in above the top of the crate directly over the geometric center of the top surface. Use the dimensions given in the table below to determine the tension in each of the three ropes. 2013 Michael Swanbom ↑ Z C BY NC SA b x B у D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 30 in b 43 in с 4.5 in The tension in rope AB is lb The tension in rope AC is lb The tension in rope AD is lbarrow_forwardThe airplane weighs 144100 lbs and flies at constant speed and trajectory given by 0 on the figure. The plane experiences a drag force of 73620 lbs. a.) If = 11.3°, determine the thrust and lift forces required to maintain this speed and trajectory. b.) Next consider the case where is unknown, but it is known that the lift force is equal to 7.8 times the quantity (Fthrust Fdrag). Compute the resulting trajectory angle - and the lift force in this case. Use the same values for the weight and drag forces as you used for part a. Уллу Fdrag 10. Ө Fthrust cc 10 2013 Michael Swanbom BY NC SA Flift Fweight The lift force acts in the y' direction. The weight acts in the negative y direction. The thrust and drag forces act in the positive and negative x' directions respectively. Part (a) The thrust force is equal to lbs. The lift force is equal to Part (b) The trajectory angle is equal to deg. The lift force is equal to lbs. lbs.arrow_forwardThe hoist consists of a single rope and an arrangement of frictionless pulleys as shown. If the angle 0 = 59°, determine the force that must be applied to the rope, Frope, to lift a load of 4.4 kN. The three-pulley and hook assembly at the center of the system has a mass of 22.5 kg with a center of mass that lies on the line of action of the force applied to the hook. e ΘΕ B CC 10 BY NC SA 2013 Michael Swanbom Fhook Note the figure may not be to scale. Frope = KN HO Fropearrow_forward
- Determine the tension developed in cables AB and AC and the force developed along strut AD for equilibrium of the 400-lb crate. x. 5.5 ft C 2 ft Z 2 ft D 6 ft B 4 ft A 2.5 ftarrow_forwardA block of mass m hangs from the end of bar AB that is 7.2 meters long and connected to the wall in the xz plane. The bar is supported at A by a ball joint such that it carries only a compressive force along its axis. The bar is supported at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. Cable BD is elastic and can be modeled as a linear spring with a spring constant k = 400 N/m and unstretched length of 6.34 meters. Determine the mass m, the compressive force in beam AB and the tension force in cable BC. Z D (c, 0, d) C (a, 0, b), A e B y f m BY NC SA x 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 8.1 m b 3.3 m C 2.7 m d 3.9 m e 2 m f 5.4 m The mass of the block is The compressive force in bar AB is The tension in cable S is N. kg.arrow_forwardTwo squirrels are sitting on the rope as shown. The squirrel at A has a weight of 1.2 lb. The squirrel at B found less food this season and has a weight of 0.8 lb. The angles 0 and > are equal to 50° and 60° respectively. Determine the tension force in each of the rope segments (T₁ in segment, T₂ in segment Я, and T3 in segment DD) as well as the angle a in degrees. Ө A α B Note the figure may not be to scale. T₁ = lb lb T2 T3 = = lb απ deg A BY NC SA 2013 Michael Swanbomarrow_forward
- Each cord can sustain a maximum tension of 500 N. Determine the largest mass of pipe that can be supported. B 60° A E Harrow_forward2. Link BD consists of a single bar 1 in. wide and 0.5 in. thick. Knowing that each pin has a in. diameter, determine (a) the maximum value of the normal stress in link BD and the bearing stress in link BD if 0 = 0, (b) the maximum value of the normal stress in link BD if 0 = 90. -6 in.- 12 in. 30° D 4 kipsarrow_forwardIn the image is a right rectangular pyramid of total mass m. Note the location of point Q. Determine the inertia dyadic for the pyramid P, relative to point Q for e hat unit vectors.arrow_forward
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