International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 8, Problem 8.26P
Using the method of composite areas, find the dimension h that maximizes the centroid coordinate
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In (Figure 1), take m₁ = 4 kg and mB = 4.6 kg.
Determine the z component of the angular momentum Ho of particle A about point O.
Determine the z component of the angular momentum Ho of particle B about point O. Suppose that
5 m
8 m/s
4 m
1.5 m
4 m
B
MB
1 m
2 m
5
30°
6 m/s
MA
The two disks A and B have a mass of 4 kg and 6 kg,
respectively. They collide with the initial velocities shown. The
coefficient of restitution is e = 0.75. Suppose that
(VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1)
Determine the magnitude of the velocity of A just after impact.
Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis.
Determine the magnitude of the velocity of B just after impact.
Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis.
(VB)1
B
(VA)1
60°
Line of impact
A hot plane surface is maintained at 100°C, and it is exposed to air at 25°C.The combined heat transfer coefficient between the surface and the air is 25W/m²·K. (same as above). In this task, you are asked to design fins to cool asurface by attaching 3 cm-long, 0.25 cm-diameter aluminum pin fins (thermalconductivity, k = 237 W/m·K) with a center-to-center distance of 0.6 cm. (Tip:do not correct the length). Determine the rate of heat transfer from thefinned structure to the air for a 1 m x 1 m section of the plate.
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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