EBK MUNSON, YOUNG AND OKIISHI'S FUNDAME
8th Edition
ISBN: 9781119547990
Author: HOCHSTEIN
Publisher: JOHN WILEY+SONS INC.
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Chapter 4.4, Problem 68P
To determine
The momentum flow rate across the vertical surface
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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 4 Solutions
EBK MUNSON, YOUNG AND OKIISHI'S FUNDAME
Ch. 4.1 - Prob. 2PCh. 4.1 - The velocity field of a flow is given by m/s,...Ch. 4.1 - A two-dimensional velocity field is given by u = 1...Ch. 4.1 - Streamlines are given in Cartesian coordinates by...Ch. 4.1 - Prob. 6PCh. 4.1 - Prob. 8PCh. 4.1 - Prob. 9PCh. 4.1 - Prob. 10PCh. 4.1 - Prob. 11PCh. 4.1 - Prob. 12P
Ch. 4.1 - The x and y components of a velocity field are...Ch. 4.1 - Prob. 14PCh. 4.1 - Prob. 15PCh. 4.1 - For any steady flow the streamlines and...Ch. 4.1 - Prob. 17PCh. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Prob. 21PCh. 4.1 - Classify the following flows as one-, two-, or...Ch. 4.2 - Prob. 23PCh. 4.2 - Air is delivered through a constant-diameter duct...Ch. 4.2 - Water flows through a constant diameter pipe with...Ch. 4.2 - The velocity of air in the diverging pipe shown in...Ch. 4.2 - A certain flow field has the velocity...Ch. 4.2 - Prob. 28PCh. 4.2 - Prob. 29PCh. 4.2 - A shock wave is a very thin layer (thickness = ℓ)...Ch. 4.2 - Estimate the average acceleration of water as it...Ch. 4.2 - Prob. 32PCh. 4.2 - As a valve is opened, water flows through the...Ch. 4.2 - The fluid velocity along the x axis shown in Fig....Ch. 4.2 - A fluid flows along the x axis with a velocity...Ch. 4.2 - A constant-density fluid flows through a...Ch. 4.2 - Prob. 37PCh. 4.2 - Prob. 38PCh. 4.2 - Prob. 39PCh. 4.2 - An incompressible fluid flows through the...Ch. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Prob. 45PCh. 4.2 - Prob. 46PCh. 4.2 - Assume that the streamlines for the wingtip...Ch. 4.2 - The velocity components for steady flow through...Ch. 4.2 - Water flows through the curved hose shown in Fig....Ch. 4.2 - Water flows though the slit at the bottom of a two...Ch. 4.2 - Prob. 51PCh. 4.2 - Prob. 52PCh. 4.2 - Fluid flows through a pipe with a velocity of 2.0...Ch. 4.2 - A gas flows along the x axis with a speed of V =...Ch. 4.2 - Assume the temperature of the exhaust in an...Ch. 4.2 - A bicyclist leases from her home at 9 a.m. and...Ch. 4.2 - The following pressures for the air flow in...Ch. 4.4 - In the region just downstream of a sluice gate,...Ch. 4.4 - At time t = 0 the valve on an initially empty...Ch. 4.4 - From calculus, one obtains the following formula...Ch. 4.4 - Air enters an elbow with a uniform speed of 10 m/s...Ch. 4.4 - A layer of oil flows down a vertical plate as...Ch. 4.4 - Figure P4.64 shows a fixed control volume. It has...Ch. 4.4 - Water enters a 5-ft-wide, 1-ft-deep channel as...Ch. 4.4 - The wind blows across a field with an approximate...Ch. 4.4 - Water flows from a nozzle with a speed of V = 10...
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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
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