*17-4. The paraboloid is formed by revolving the shaded area around the x axis. Determine the radius of gyration k,. The density of the material is p = 5 Mg/m². y? = 50x 100 mm 200 mm
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- Determine the moment of inertial about an axis perpendicular to the page and passing through the pin at O. The thin plate has a hole in its center. Its thickness is 50 mm and the material has a density of ρ = 50 kg/m^3Locate the center of mass x̄ of the straight rod if itsmass per unit length is given by m = m0(1 + x2/L2).Determine the moment of inertia of the thin plate about an axis perpendicular to the page and passing through the pin at O. The plate has a hole in its center. Its thickness is 50 mm and the material has a density of 50 kg/m^3
- The pendulum consists of a 6.5- kg circular plate and a 2.5- kg slender rod. Determine the radius of gyration of the pendulum about an axis perpendicular to the page and passing through point O.Check the alternative that presents the moment of inertia of the hatched figure in relation to the y axis. a = 2cm b = 4.8cm Alternatives: a) 75,52 b) 6,28 c) 5,41 d) 52,19 e) 49,92H6. Find the position of the cross-section’s centroid. Then, determine the moments of inertia of horizontal & vertical axes through the centroid. (I'm not sure if the width of the verticle rectangle is needed or not. If it is, assume 5 mm.)
- he assembly consists of a disk having a mass of 5 kg and slender rods ABand DC which have a mass of 2 kg/m. If L = 0.6 m, determine the moment of inertia and radius of gyration of the assembly about an axis perpendicular to the page and passing through point O. Also, find the position of the center of mass Gin relation to O. Please explain steps5. Determine the MI of the Z Section about centroidal axis. (Ix= 22.6(106) mm4,Iy = 9.81(106) mm4)The assembly consists of a cantilevered beam CB and a simply supported beam AB. If each beam is made of A-36 steel and has a moment of inertia about its principal axis of Ix = 118 in4, determine the displacement at the center D of beam BA.
- Determine the volume of the solid obtained by rotating the area of Prob. 5.4 about (a) the x axis, (b) the y axis.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 6000 kg/m3 and the cylinder a density of 8000 kg/m3. Consider H = 83Determine the polar radius of gyration of the shaded area about point O