1 Introduction To Statics 2 Basic Operations With Force Systems 3 Resultants Of Force Systems 4 Coplanar Equilibrium Analysis 5 Three-dimensional Equilibrium 6 Beams And Cables 7 Dry Friction 8 Centroids And Distributed Loads 9 Moments And Products Of Inertia Of Areas 10 Virtual Work And Potential Energy Chapter9: Moments And Products Of Inertia Of Areas
Chapter Questions Section: Chapter Questions
Problem 9.1P: Compute the moment of inertia of the shaded region about the y-axis by integration. Problem 9.2P: The properties of the plane region are JC=1000in.4,Ix=7000in.4, and Iy=4000in.4. Calculate A,Ix, and... Problem 9.3P: The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4,... Problem 9.4P: The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4... Problem 9.5P: Using integration, find the moment of inertia and the radius of gyration about the x-axis for the... Problem 9.6P: Use integration to determine the moment of inertia of the shaded region about the x-axis. Problem 9.7P: Determine Ix and Iy for the plane region using integration. Problem 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check... Problem 9.9P: Use integration to compute Ix and Iy for the parabola. Check your answers with the results for the... Problem 9.10P: By integration, determine the moments of inertia about the x-and y-axes for the region shown. Problem 9.11P: Compute the moment of inertia about the x-axis for the region shown using integration. Problem 9.12P: By integration, find the moment of inertia about the y-axis for the region shown. Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867... Problem 9.14P: Compute the dimensions of the rectangle shown in Fig. (b) that has the same kx and ky as the W867... Problem 9.15P: Compute Ix and Iy for the W867 shape dimensioned in the figure. Assume that the section is composed... Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020... Problem 9.17P: A W867 section is joined to a C1020 section to form a structural member that has the cross section... Problem 9.18P: Compute Ix and Iy for the region shown. Problem 9.19P Problem 9.20P: Calculate Ix for the shaded region, knowing that y=34.27mm. Problem 9.21P: Compute Iy for the region shown, given that x=12.93mm. Problem 9.22P Problem 9.23P Problem 9.24P: Determine Ix for the triangular region shown. Problem 9.25P: Determine the distance h for which the moment of inertia of the region shown about the x-axis will... Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what... Problem 9.27P Problem 9.28P: Determine the ratio a/b for which Ix=Iy for the isosceles triangle. Problem 9.29P: As a round log passes through a sawmill, two slabs are cut off, resulting in the cross section... Problem 9.30P Problem 9.31P: By numerical integration, compute the moments of inertia about the x- and y-axes for the region... Problem 9.32P: Use numerical integration to compute the moments of inertia about the x- and y-axes for the... Problem 9.33P: The plane region A is submerged in a fluid of weight density . The resultant force of the fluid... Problem 9.34P: Use integration to verify the formula given in Table 9.2 for Ixy of a half parabolic complement. Problem 9.35P: For the quarter circle in Table 9.2, verify the following formulas: (a) Ixy by integration; and (b)... Problem 9.36P: Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin... Problem 9.37P: The product of inertia of triangle (a) with respect to its centroid is Ixy=b2h2/72. What is Ixy for... Problem 9.38P Problem 9.39P: For the region shown, Ixy=320103mm4 and Iuv=0. Compute the distance d between the y- and v-axes.... Problem 9.40P Problem 9.41P: Calculate the product of inertia with respect to the x- and y-axes. Problem 9.42P Problem 9.43P Problem 9.44P: The figure shows the cross section of a standard L806010-mm structural steel, unequal angle section.... Problem 9.45P Problem 9.46P Problem 9.47P Problem 9.48P: Use numerical integration to compute the product of inertia of the region show with respect to the... Problem 9.49P: Determine the dimension b of the square cutout so that Ixy=0 for the region shown. Problem 9.50P: For the rectangular region, determine (a) the principal moments of inertia and the principal... Problem 9.51P Problem 9.52P Problem 9.53P Problem 9.54P Problem 9.55P Problem 9.56P: The u- and v-axes are the principal axes of the region shown. Given that Iu=7600in.4,Iv=5000in.4,... Problem 9.57P: The x- and y-axes are the principal axes for the region shown with Ix=6106mm4 and Iy=2106mm4. (a)... Problem 9.58P Problem 9.59P: The inertial properties of the region shown with respect to the x- and y-axes are Ix=Iy=16.023106mm4... Problem 9.60P: Determine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis. Problem 9.61P: Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the... Problem 9.62P: Show that every axis passing through the centroid of the equilateral triangle is a principal axis. Problem 9.63P Problem 9.64P: The L806010-mm structural angle has the following cross-sectional properties:... Problem 9.65P: Compute the principal centroidal moments of inertia for the plane area. Problem 9.66P Problem 9.67P: Determine the principal axes and the principal moments of inertia for the plane region. Problem 9.68P: Compute the principal centroidal moments of inertia and the corresponding principal directions for... Problem 9.69P: Find the moments and the product of inertia of the rectangle about the u-v axes at the centroid C. Problem 9.70P: Determine the moments and product of inertia of the half-parabola about the u-v axes that pass... Problem 9.71P: Find the principal moments of inertia and the principal directions at the centroid C of the... Problem 9.72P: Determine the moments and product of inertia of the elliptical area with respect to the u-v axes.... Problem 9.73P Problem 9.74P Problem 9.75P: The u- and v-axes are the principal axes of the region shown. Given that Iu=8400in.4,Iv=5000in.4,... Problem 9.76P: The x- and y-axes are the principal axes for the region shown, with Ix=8106mm4 and Iy=2106mm4. (a)... Problem 9.77P Problem 9.78P: The L806010-mm structural angle has the following cross-sectional properties:... Problem 9.79RP Problem 9.80RP Problem 9.81RP: By integration, show that the product of inertia with respect to the x- and y-axes for the quarter... Problem 9.82RP: Compute Ix and Iy for the shaded region. Problem 9.83RP: Using integration, evaluate the moments of inertia about the x- and y-axes for the parallelogram. Problem 9.84RP: The inertial properties at point 0 for a plane region are Ix=200106mm4,Iy=300106mm4, and... Problem 9.85RP: Compute Ix and Iy for the shaded region. Problem 9.86RP: The flanged bolt coupling is fabricated by drilling 10 evenly spaced 0.5-in. diameter bolt holes in... Problem 9.87RP Problem 9.88RP: Compute Ix,Iy, and Ixy for the shaded region. Problem 9.89RP: Determine Ix and Ixy for the shaded region shown. Problem 9.90RP: Calculate Ix,Iy, and Ixy for the shaded region shown. Problem 9.91RP: For the shaded region shown, determine (a) Ix and Iy; and (b) Ix and Iy using the parallel axis... Problem 9.92RP: Use integration to find Ix,Iy, and Ixy for the shaded region shown. Problem 9.93RP: Determine the principal moments of inertia and the principal directions at the centroid of the... Problem 9.94RP: The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine... Problem 9.46P
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(A.) Find the approximately height of water upstream of the dam or the headwater in meters, such that an air bubble, upon reaching the water surface has a volume 3 times than it had at the
bottom?
B. Compute the absolute pressure at the bottom of the dam.
C. Compute the gage pressure at the bottom of the dam
(Our subject is FLUID MECHANIC all I need is a solution)
Transcribed Image Text: V,-3V
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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