International Edition---engineering Mechanics: Statics 4th Edition
4th Edition
ISBN: 9781305856240
Author: Pytel
Publisher: Cengage
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Chapter 8, Problem 8.66P
The picture board and its triangular supporting bracket form a composite surface. Calculate the height h of the support that minimizes the centroidal z-coordinate of the assembly.
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A 15 cm-OD pipe is buried with its centerline 1.25 m below the surface of the ground
[k of soil is 0.35 W/(m K)]. An oil having a density of 800 kg/m³ and a specific heat of 2.1 kJ/(kg
K) flows in the pipe at 5.6 L/s. Assuming a ground surface temperature of 5°C and a pipe wall
temperature of 95°C, estimate the length of pipe in which the oil temperature decreases by
5.5°C.
+
Tε = 5ºC
Z= 1.25 m
D= 15 cm
7p=95°C
Find the solution of the following Differential Equations
1) 4y+y=0,
y(0)=2,
y'(0) = 0.
2) y+y=0,
y(0) = A,
y'(0) = B.
3) "+2y'-8y=0,
y(0)=1,
y'(0)=8.
4) y"-2y-3y=0,
y(0)=1,
y'(0)=7.
5) y"-ky' =0,
y(0)=2,
y'(0) =k.
6) y+ky'-2k2y=0,
y(0)=2,
y'(0) = 2k.
7) y'+4y=0,
y(0)=2.8
y+y-17sin(21)
y(0)=-1.
9) y-y'-6y=0,
y(0)=6.
y'(0)=13.
10) y-y=0,
11) y"-4y+4y=0,
y(0)=4,
y'(0) = 0.
y(0) = 2.1,
y'(0)=3.9
12) y+2y+2y=0,
y(0)=1,
y'(0)=-3.
13)
"+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) "+9y=10e",
y(0)=0.
y'(0) = 0.
15) y+3y+2.25y=91³ +64.
y(0)=1,
y'(0) = 31.5
16) "-6y+5y= 29 cos(21),
y(0)=3.2,
y'(0) = 6.2
17) y+2y+2y=0,
y(0)=0,
y'(0)=1.
18) y+2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)-1,
y'(0) 2.
20) 9y-6y+y=0.
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
(0) 3.
y(0) 1.5
23) 4y-8y+5y=0,
(0)-0,
y(0) 1.
24) y+y+1.25y=0,
y(0) 1.
y'(0) -0.5
25) y+y=2 cos(1).
y(0) 2.
y'(0) = 0.
26) -4y+3y=0,
(0)-3,
y'(0) = 7.
27) y+2y+y=e",
y(0)-0.
y'(0) = 0.
29)
28) y+2y-3y-10sinh(2),…
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Chapter 8 Solutions
International Edition---engineering Mechanics: Statics 4th Edition
Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Use integration to determine the coordinates of...Ch. 8 - Using integration, locate the centroid of the area...Ch. 8 - Determine the y-coordinate of the centroid of the...Ch. 8 - Determine the y-coordinate 0f the centroid of the...Ch. 8 - Use integration to locate the centroid of the...
Ch. 8 - Locate the centroid of the parabola by...Ch. 8 - Use integration to locate the centroid of the...Ch. 8 - The parametric equations of the plane curve known...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - Use the method of composite areas to calculate the...Ch. 8 - The plane region is bounded by a semicircle of...Ch. 8 - The centroid of the plane region shown is at C....Ch. 8 - Compute the centroidal coordinates of the L-shaped...Ch. 8 - Find the centroidal coordinates of the plane...Ch. 8 - Using the method of composite areas, find the...Ch. 8 - Given that the centroid of the plane region is at...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Using the method of composite curves, locate the...Ch. 8 - Determine the ratio a/b for which the centroid of...Ch. 8 - Use numerical integration to locate the centroid...Ch. 8 - Determine the centroidal coordinates of the plane...Ch. 8 - Compute the centroidal y-coordinate of the plane...Ch. 8 - The equation of the catenary shown is y = 100 cosh...Ch. 8 - Use integration to locate the centroid of the...Ch. 8 - By integration, find the centroid of the surface...Ch. 8 - Locate the centroid of the volume obtained by...Ch. 8 - Solve Prob. 8.41 assuming that the triangle is...Ch. 8 - Use integration to find the centroidal coordinates...Ch. 8 - Solve Prob. 8.43 assuming that the area is...Ch. 8 - Verify the centroidal z-coordinate of the pyramid...Ch. 8 - Use integration to compute the z-coordinate of the...Ch. 8 - Determine the centroidal z-coordinate of the...Ch. 8 - Prob. 8.48PCh. 8 - Locate the centroid of the volume between the...Ch. 8 - Prob. 8.50PCh. 8 - Prob. 8.51PCh. 8 - By the method of composite volumes, determine the...Ch. 8 - By the method of composite volumes, determine the...Ch. 8 - By the method of composite volumes, determine the...Ch. 8 - By the method of composite volumes, determine the...Ch. 8 - By the method of composite volumes, determine the...Ch. 8 - By the method of composite volumes, determine the...Ch. 8 - Use the method of composite volumes to determine...Ch. 8 - The cylindrical container will have maximum...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - Using the method of composite surfaces, locate the...Ch. 8 - The picture board and its triangular supporting...Ch. 8 - By the method of composite curves, locate the...Ch. 8 - By the method of composite curves, locate the...Ch. 8 - By the method of composite curves, locate the...Ch. 8 - Use numerical integration to find the centroid of...Ch. 8 - Prob. 8.71PCh. 8 - Locate the centroid of the volume generated by...Ch. 8 - Prob. 8.73PCh. 8 - Prob. 8.74PCh. 8 - Prob. 8.75PCh. 8 - A 6-in. diameter hole is drilled in the conical...Ch. 8 - A torus is formed by rotating the circle about the...Ch. 8 - A solid of revolution is formed by rotating the...Ch. 8 - Compute the volume of the spherical cap that is...Ch. 8 - Calculate the surface area of the truncated sphere...Ch. 8 - The rim of a steel V-belt pulley is formed by...Ch. 8 - Determine the volume of the machine part shown.Ch. 8 - A solid is generated by rotating the plane area...Ch. 8 - Prob. 8.84PCh. 8 - Find the surface area of the 90 duct elbow.Ch. 8 - Determine the volume of the concrete arch dam.Ch. 8 - (a) Find the volume of liquid contained in the...Ch. 8 - Compute the surface area of the axi-symmetric...Ch. 8 - The steel cylinder with a cylindrical hole is...Ch. 8 - The hemispherical glass bowl is filled with water....Ch. 8 - What is the ratio L/R for which the uniform wire...Ch. 8 - Small screws are used to fasten a piece of...Ch. 8 - Prob. 8.93PCh. 8 - 3.94 The aluminum cylinder is attached to the...Ch. 8 - Prob. 8.95PCh. 8 - Prob. 8.96PCh. 8 - Prob. 8.97PCh. 8 - Locate the center of gravity of the hammer if the...Ch. 8 - Prob. 8.99PCh. 8 - The cylindrical water tank with R = 10 ft and H =...Ch. 8 - Prob. 8.101PCh. 8 - Five 34-in. diameter holes are to be drilled in a...Ch. 8 - Wind pressure acting on a cylinder can be...Ch. 8 - Prob. 8.104PCh. 8 - The pressure acting on the square plate varies as...Ch. 8 - Prob. 8.106PCh. 8 - Prob. 8.107PCh. 8 - If the intensity of the line loading is...Ch. 8 - Prob. 8.109PCh. 8 - The intensity of the line loading acting on a...Ch. 8 - Determine the resultant force or resultant couple...Ch. 8 - The inside surface of each thin shell carries a...Ch. 8 - Calculate the resultant force caused by the water...Ch. 8 - Determine the resultant force acting on the elbow...Ch. 8 - Determine the smallest distance I) that would...Ch. 8 - Each of the three gates has a constant width 1:...Ch. 8 - The concrete dam shown in cross section holds back...Ch. 8 - A concrete seawater dam is shown in cross section....Ch. 8 - Determine the force F required to pull up the...Ch. 8 - The normal pressure acting on the triangular plate...Ch. 8 - One side of the container has a 03-m square door...Ch. 8 - The 12-ft wide quarter-circular gate AB is hinged...Ch. 8 - The center of gravity of the plane wire figure is...Ch. 8 - The 10-m wide gate restrains water at a depth of 6...Ch. 8 - Find the resultant of the line load shown.Ch. 8 - Prob. 8.126RPCh. 8 - Determine the centroidal coordinates of the volume...Ch. 8 - Prob. 8.128RPCh. 8 - Prob. 8.129RPCh. 8 - Prob. 8.130RPCh. 8 - Using the method of composite areas, find the...Ch. 8 - Find the centroid of the truncated parabolic...Ch. 8 - Prob. 8.133RPCh. 8 - A solid of revolution is formed by rotating the...Ch. 8 - Two hemispherical shells of inner diameter 1 m are...Ch. 8 - Calculate the area of the surface generated when...Ch. 8 - Determine the resultant of the line loading, given...Ch. 8 - Determine the centroidal coordinates of the plane...Ch. 8 - The sheet metal trough has a uniform wall...Ch. 8 - The trough is filled with water (=62.4lb/ft3)....Ch. 8 - The thin-walled cylindrical can with a spherical...Ch. 8 - Find the location of the centroid of the shaded...
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