FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 5.2, Problem 54P
(a)
To determine
Determine the tension in the cable supporting the tank.
(b)
To determine
Determine the force needed to support the dish.
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An acrobat is walking on a tightrope of length L
=20.1 m attached to supports A and B at a
distance of 20.0 m apart. The combined weight
of the acrobat and his balancing pole is 900 N,
and the friction between his shoes and the rope
is large enough to prevent him from slipping.
Neglecting the weight of the rope and any
elastic deformation, determine the deflection (y)
and the tension in portion AC and BC of the
rope for values of x from 0.5 m to 10 m using
0.5 m increments.
1. Determine the maximum deflection (y) in
the rope.
2. Plot tension of AC and BC vs. x (on the
same plot with x on the x-axis). Turn in the
plot and the table of x, TAC, and TBC (clearly
label each).
A
C
20.0 m
B
5. A 4000 lb block of concrete is attached by light inextensible cables to the truss in Figure 5.
Determine the force in each member. State whether each member is in tension or compression.
3
ΘΑ
D
E
cables
all dimensions in feet.
A block hangs from the end of bar AB that is 5.80 meters
long and connected to the wall in the xz plane. The bar is
supported at end A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported in
equilibrium 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. The z components of the
moments exerted on the bar by these two cables sum to 0.
The tension in cable BD is measured to be 210 Newtons.
Input answers of zero as 0.00 to avoid an invalid answer due
to significant figures.
Determine the equivalent force and couple system acting at
A that models only the forces exerted by both cables BD
→
and BC on the bar at B. Enter your results for Feq and Meg
in Cartesian Components.
Z
D
(c, 0, d)
C
(a, 0, b).
X
A
f
m
B
y
cc 040
BY NC SA
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…
Chapter 5 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 5.1 - Prob. 1PCh. 5.1 - An incompressible fluid flows horizontally in the...Ch. 5.1 - Water flows steadily through the horizontal piping...Ch. 5.1 - Water flows out through a set of thin, closely...Ch. 5.1 - Estimate the rate (in gal/hr) that your car uses...Ch. 5.1 - The pump shown in Fig. P5.6 produces a steady flow...Ch. 5.1 - The fluid axial velocities shown in Fig. P5.7 are...Ch. 5.1 - The human circulatory system consists of a complex...Ch. 5.1 - Air flows steadily between two cross sections in a...Ch. 5.1 - A hydraulic jump (see Video V10.11) is in place...
Ch. 5.1 - A woman is emptying her aquarium at a steady rate...Ch. 5.1 - An evaporative cooling tower (see Fig. P5.12) is...Ch. 5.1 - At cruise conditions, air flows into a jet engine...Ch. 5.1 - Water at 0.1 m3/s and alcohol (SG = 0.8) at 0.3...Ch. 5.1 - In the vortex tube shown in Fig. P5.15, air enters...Ch. 5.1 - Molten plastic at a temperature of 510 °F is...Ch. 5.1 - A water jet pump (see Fig. P5.17) involves a jet...Ch. 5.1 - To measure the mass flowrate of air through a...Ch. 5.1 - Two rivers merge to form a larger river as shown...Ch. 5.1 - Various types of attachments can be used with the...Ch. 5.1 - An appropriate turbulent pipe flow velocity...Ch. 5.1 - As shown in Fig. P5.22, at the entrance to a...Ch. 5.1 - Prob. 23PCh. 5.1 - Oil for lubricating the thrust bearing shown in...Ch. 5.1 - Flow of a viscous fluid over a flat plate surface...Ch. 5.1 - Air at standard conditions enters the compressor...Ch. 5.1 - Estimate the time required to fill with water a...Ch. 5.1 - For an automobile moving along a highway, describe...Ch. 5.1 - A water jet leaves a fixed nozzle with a velocity...Ch. 5.1 - A hypodermic syringe (see Fig. P5.30) is used to...Ch. 5.1 - Figure P5.31 shows a two-reservoir water supply...Ch. 5.1 - The Hoover Dam (see Video V2.4) backs up...Ch. 5.1 - Storm sewer backup causes your basement to flood...Ch. 5.1 - (See The Wide World of Fluids article “‘Green’...Ch. 5.2 - Prob. 35PCh. 5.2 - When a baseball player catches a ball, the force...Ch. 5.2 - Find the horizontal and vertical forces to hold...Ch. 5.2 - Water flows through a horizontal bend and...Ch. 5.2 - Find the magnitude of the force F required to hold...Ch. 5.2 - Water enters the horizontal, circular...Ch. 5.2 - A truck carrying chickens is too heavy for a...Ch. 5.2 - Exhaust (assumed to have the properties of...Ch. 5.2 - Air at T1 = 300 K, p1 = 303 kPa, and V1 = 0.5 m/s...Ch. 5.2 - Water flows steadily from a tank mounted on a cart...Ch. 5.2 - Determine the magnitude and direction of the...Ch. 5.2 - Figure P5.46 shows a lateral pipe fitting. This...Ch. 5.2 - Water flows steadily between fixed vanes, as shown...Ch. 5.2 - The hydraulic dredge shown in Fig. P5.48 is used...Ch. 5.2 - A static thrust stand is to be designed for...Ch. 5.2 - A vertical jet of water leaves a nozzle at a speed...Ch. 5.2 - A horizontal, circular cross-sectional jet of air...Ch. 5.2 - Calculate the pressure change (p2 − p1) for the...Ch. 5.2 - Air flows into the atmosphere from a nozzle and...Ch. 5.2 - Water flows from a large tank into a dish as shown...Ch. 5.2 - Figure P5.55 shows the configuration of the center...Ch. 5.2 - The plate shown in Fig. P5.56 is 0.5 m wide...Ch. 5.2 - Two water jets of equal size and speed strike each...Ch. 5.2 - Figure P5.58 shows coal being dropped from a...Ch. 5.2 - Determine the magnitude of the horizontal...Ch. 5.2 - Water flows steadily into and out of a tank that...Ch. 5.2 - The rocket shown in Fig. P5.61 is held stationary...Ch. 5.2 -
Air discharges from a 2-in.-diameter nozzle and...Ch. 5.2 - Water is sprayed radially outward over 180° as...Ch. 5.2 - A sheet of water of uniform thickness (h = 0.01 m)...Ch. 5.2 - The results of a wind tunnel test to determine the...Ch. 5.2 - A variable mesh screen produces a linear and...Ch. 5.2 - Prob. 67PCh. 5.2 - Prob. 68PCh. 5.2 - Prob. 69PCh. 5.2 - A Pelton wheel vane directs a horizontal, circular...Ch. 5.2 - Prob. 71PCh. 5.2 - Thrust vector control is a technique that can be...Ch. 5.2 - Prob. 73PCh. 5.2 - Prob. 74PCh. 5.2 - Prob. 75PCh. 5.2 - Prob. 76PCh. 5.2 - (See The Wide World of Fluids article titled “Bow...Ch. 5.2 - Water flows from a two-dimensional open channel...Ch. 5.2 - Prob. 79PCh. 5.2 - A snowplow mounted on a truck clears a path 12 ft...Ch. 5.2 - Prob. 81PCh. 5.2 - Water at 60 °F is flowing through the 2-in. steel...Ch. 5.2 - Five liters/s of water enter the rotor shown in...Ch. 5.2 - Figure P5.84 shows a simplified sketch of a...Ch. 5.2 - The hydraulic turbine shown in Fig. P5.85 has a 10...Ch. 5.2 - Prob. 86PCh. 5.2 -
Calculate the torque required to drive the pump...Ch. 5.2 - Prob. 88PCh. 5.2 - Prob. 89PCh. 5.2 - Prob. 90PCh. 5.3 - Distinguish between shaft work and other kinds of...Ch. 5.3 - Prob. 92PCh. 5.3 - A horizontal Venturi flow meter consists of a...Ch. 5.3 - Figure P5.94 shows the mixing of two streams. The...Ch. 5.3 - Liquid water at 40 °F flows down a vertical,...Ch. 5.3 - A simplified schematic drawing of the carburetor...Ch. 5.3 - Oil (SG = 0.9) flows downward through a vertical...Ch. 5.3 - An incompressible liquid flows steadily along the...Ch. 5.3 - Prob. 99PCh. 5.3 - A water siphon having a constant inside diameter...Ch. 5.3 - Figure P5.101 shows a test rig for evaluating the...Ch. 5.3 - For the 180° elbow and nozzle flow shown in Fig....Ch. 5.3 - An automobile engine will work best when the back...Ch. 5.3 - (See The Wide World of Fluids article titled...Ch. 5.3 - Based on flowrate and pressure rise information,...Ch. 5.3 - Oil (SG = 0.88) flows in an inclined pipe at a...Ch. 5.3 - The pumper truck shown in Fig. P5.107 is to...Ch. 5.3 - The hydroelectric turbine shown in Fig. P5.108...Ch. 5.3 - A pump is to move water from a lake into a large,...Ch. 5.3 - Water is pumped from the tank shown in Fig....Ch. 5.3 - Water is pumped steadily through the apparatus...Ch. 5.3 - Water is pumped from the large tank shown in Fig....Ch. 5.3 - Water flows by gravity from one lake to another as...Ch. 5.3 - The turbine shown in Fig. P5.114 develops 100 hp...Ch. 5.3 - Prob. 115PCh. 5.3 - Water is to be moved from one large reservoir to...Ch. 5.3 - Determine the volume flow rate and minimum power...Ch. 5.3 - Prob. 118PCh. 5.3 - Water is to be pumped from the large tank shown in...Ch. 5.3 - Prob. 120PCh. 5.3 - When the pump shown in Fig. P5.121 is stopped,...Ch. 5.3 - Air flows past an object in a pipe of 2-m diameter...Ch. 5.3 - Water flows steadily down the inclined pipe as...Ch. 5.3 - When fluid flows through an abrupt expansion as...Ch. 5.3 - Water (60 °F) flows through an annular space...Ch. 5.3 - Find the acceleration of the cart shown in Fig....Ch. 5.3 - Prob. 128PCh. 5.3 - Water flows vertically upward in a circular cross-...Ch. 5.3 - Prob. 130PCh. 5.3 - The cross-sectional area of a rectangular duct is...Ch. 5.3 - A small fan moves air at a mass flowrate of 0.004...Ch. 5.3 - Air enters a radial blower with zero angular...Ch. 5.3 - Water enters a pump impeller radially. It leaves...Ch. 5.3 - Water enters an axial-flow turbine rotor with an...Ch. 5.3 - An inward flow radial turbine (see Fig. P5.136)...Ch. 5.5 - Prob. 1LLPCh. 5.5 - Prob. 2LLPCh. 5.5 - Prob. 3LLPCh. 5.5 - Prob. 4LLP
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