5. Consider the disk with a rectangular cutout shown in the figure below. The disk has the dimensions shown and has a thickness of 3 m and a density of 4000 kg/m³. a. Calculate the total mass of the disk. b. Calculate the x and y coordinates of the disk's center of gravity from Point O. C. Calculate the disk's moment of inertia about the z-axis passing through Point O. Y X thickness of 3 m 10 m 3 m 6 m

5. Consider the disk with a rectangular cutout shown in the figure below. The disk has the dimensions shown and has a thickness of 3 m and a density of 4000 kg/m³. a. Calculate the total mass of the disk. b. Calculate the x and y coordinates of the disk's center of gravity from Point O. C. Calculate the disk's moment of inertia about the z-axis passing through Point O. Y X thickness of 3 m 10 m 3 m 6 m

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.96P

See similar textbooks

Similar questions

For the body shown. If point P3 is the center of mass for rod part P1-P2, and point P4 is the center of mass for rod part P3-P5, and P6 is the center of mass of the disk part. Find the mass moment of inertia around axis perpendicular to the page and passes through point P5. Given; L = 1 m, mass density of rod parts = 5 kg / m, mass density of disk = 12 Kg / m?
Find the centroid of the region in the first quadrant bounded by the x-axis, the parab y=2x, and the line x +y = 4. Find the moment of inertia about the x-axis of a thin plate bounded by the parabola y and the linex+y =0 if 8(x, y) = x + y.
2. The brick shown below is formed by a rectangular prism with three cylindrical holes. The brick has a density of 2000 kg/m³ and a depth (not pictured) of 50 mm. Each cylindrical hole has a diameter of 50 mm. a. Calculate the total mass of the brick. b. Calculate the center of mass of the brick measured from Point O. You may do this by inspection (no work required). Calculate the moment of inertia of the body about an axis into the plane of the page and passing through Point O. C. y O each dim. 50 mm OOO 200 mm 100 mm
The figure shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L = 28.8 cm. Find the x-coordinate of the center of mass of the box. Find the y-coordinate of the center of mass of the box. Find the z-coordinate of the center of mass of the box.
Find the center of mass (x̄, ȳ, z̄) of the object shown, given: L1 = 20 mm, L2 = 34 mm, L3 = 50 mm, L4 = 65 mm, L5 = 16 mm, L6 = 90 mm.
the machine element was made from steel by combining a cylindrical base with a cone on top, then cutting a semicylinder from the base. (steel density = 7850kg/m3)a. what's the x-coordinate of center of mass of the entire assemblyb. what's the y-coordinate of center of mass of entire assemblyc. what's moment of inertia of the entire assembly with respect to the y-axis
Find the moment of inertia of the following figure about X-X and Y-Y axis passing through the centre of gravity. PQ = 50 cm, QS = 60 cm & PR = 90 cm R S Q
Find the centroid of the area bounded by the function f(x) = 1+ sin(æ) and the x-axis and the lines x-1 and x=3. Calculate the center of mass for R (round to 2 decimal places) xbar = ybar Find the centroid (E, 9) of the region bounded by: y = 3x2 + 6x, y = 0, = 0, and r = 3
1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R
The shaded area given in Figure 3; Calculate (a) the x-value of the center of gravity, (b) the moment of inertia about the given y-axis.
Find the centroid in terms of x and y from the origin for the shape shown below. Clearly mark which point you chose as the origin.
A) Determine the position of the center of gravity of the figure's structure. B)Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 600 kg/m3 and the cylinder a density of 800 kg/m3. Consider H = 83