Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 4, Problem 4.47PP
Use Fig 4.47. The surface is
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Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
mass of the shaft is negligible compared to the mass of the disk.
a. Find the angular momentum of the disk with respect to point G, based on the axis
orientation as shown. Include an MVD in your solution.
b. Find the angular momentum of the disk with respect to point O, based on the axis
orientation as shown. (Note: O is NOT the center of fixed-point rotation.)
c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
Problem 3.
The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same
mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a
particular moment. Find the angular momentum with respect to point O, in terms of the axes
shown.
Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k
3
m
r
b
2
C
لا
m
Only question 2
Chapter 4 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 4 - figure 4.2 shows a vacuum tank with a flat...Ch. 4 - The flat left end of the tank shown in Fig. 4.21...Ch. 4 - An exhaust system for a room creates a partial...Ch. 4 - A piece of 14 -in Schedule 40 pipe is used as a...Ch. 4 - A pressure relief valve is designed so that the...Ch. 4 - A gas-powered cannon shoots projectiles by...Ch. 4 - The egress hatch of a manned spacecraft is...Ch. 4 - A tank containing liquid ammonia at 77F has a flat...Ch. 4 - The bottom of a laboratory vat has a hole in it to...Ch. 4 - A simple shower for remote locations is designed...
Ch. 4 - Calculate the total force on the bottom of the...Ch. 4 - If the length of the tank in Fig. 4.24 is 1.2m,...Ch. 4 - An observation port in a small submarine is...Ch. 4 - A rectangular gate is installed in a vertical wall...Ch. 4 - '4.15 A vat has a sloped side, as shown in Fig....Ch. 4 - The wall shown in Fig. 4.28 is 20 ft long, (a)...Ch. 4 - If the wall in Fig. 4.29 is 4m long, calculate the...Ch. 4 - Refer to Fig. 4.30Ch. 4 - Refer to Fig. 4.31Ch. 4 - Refer to Fig.4.32Ch. 4 - Refer to Fig 4.33Ch. 4 - Refer to Fig. 4.34Ch. 4 - Refer to Fig. 4.35 (?Ch. 4 - Swimming poo!WilierGlasswindow2 ft diameterFigure...Ch. 4 - 4.25 Refer to Fig 4.37Ch. 4 - Refer to Fig.4.38Ch. 4 - Refer to Fig.4.39Ch. 4 - Refer to Fig.4.40Ch. 4 - Refer to Fig 4.41Ch. 4 - figure 4.42i5 shows a gasoline tank filled into...Ch. 4 - If the tank in Fig. 4.42 is filled just to the...Ch. 4 - If the tank in Fig. 4.42 is only half full of...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the orange-drink tank shown in Fig. 4.32,...Ch. 4 - For the orange-drink tank shown in Fig. 4.32,...Ch. 4 - For the oil tank shown in Fig. 4.35, compute the...Ch. 4 - For the oil tank shown in Fig. 4.35; compute the...Ch. 4 - figure 4.44 shows a rectangular gate holding water...Ch. 4 - figure 4.45 shows a gate hinged at its bottom and...Ch. 4 - figure 4.46 shows a tank of water with a circular...Ch. 4 - Repeat Problem 4.19(Fig. 4.31), except that the...Ch. 4 - Repeat Problem 4.22 (Fig. 4.32), except that the...Ch. 4 - Repeat Problem 4.26 (Fig. 4.38 ). except that the...Ch. 4 - Repeat Problem 4.28 (Fig. 4.40 ), except that the...Ch. 4 - Use Fig 4.47. The surface is 2.00m long.Ch. 4 - Use Fig.4.48. The surface is 2.50m long.Ch. 4 - Use Fig.4.49. The surface is 5.00 ft longCh. 4 - Use Fig.4.50. The surface is 4.50 ft long.Ch. 4 - Use Fig.4.51.The surface is 4.00 m long.Ch. 4 - Use Fig .4.52. The surface is 1.50m longCh. 4 - Use Fig. 4.53. The surface is 1.50m long.Ch. 4 - Use Fig. 4.54. The surface is 60 in longCh. 4 - Repeat Problem 4.47 using Fig. 4.47, except that...Ch. 4 - Repeat Problem 4.48 using Fig. 4.48, except that...Ch. 4 - The tank in Fig. 4.55 has a view port in the...Ch. 4 - Insulated concrete forms (ICFs) are becoming more...Ch. 4 - Lacks are installed in rivers to allow boats to...Ch. 4 - When a dam is installed in a river that has...Ch. 4 - A wealthy eccentric is interested in having an...Ch. 4 - A pneumatic cylinder like the one shown in Fig....Ch. 4 - Determine the magnitude and the location of the...Ch. 4 - For the hinged gate shown in Fig. 4.61, determine...Ch. 4 - Prob. 4.65PPCh. 4 - Write a program to solve Problem 4.41 with any...Ch. 4 - Write a program to solve Problem 4.42 (Fig. 4.46)...Ch. 4 - Write a program to solve curved surface problems...Ch. 4 - For Program 1, cause the depth h to vary over some...
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