PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The slender rods have a mass of 59 Kg/m. Determine the moment of inertia of the assembly about an axis
perpendicular to the page and passing through point A.
2 m
1m
1.5 m 1.5 m
1. Determine the moment of inertia about an axis perpendicular to the page and passing through
the pin at 0. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a
density of p = 60 kg/m³. What is the radius of gyration about this point?
150 mm
1.40 m
1.40 m
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- The pendulum is suspended from point O and consists of two bars, each weighing 10 lb. Determine the moment of inertia of the pendulum about the axis through pin O.arrow_forwardFormulas Moments of Inertia x= [y²d ly = fx²dA Theorem of Parallel Axis Ixr = 1 + d² A * axis going through the centroid x' axis parallel to x going through the point of interest d minimal distance (perpendicular) between x and x' ly₁ = 15+d²A ỹ axis going through the centroid y' axis parallel to y going through the point of interest d minimal distance (perpendicular) between y and y' Composite Bodies 1=Σ 4 All the moments of inertia should be about the same axis. Radius of Gyration k=arrow_forwardThe slender rods have a mass of 8 kg/m . Suppose that a = 150 mm and b = 250 mm . Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point A. Express your answer to three significant figures and include the appropriate units.arrow_forward
- Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O. The material has a specific weight of 90 lb/ft3.arrow_forwardDetermine the moment of Inertia Ix (mm4) about the x-axis. Given: X1 = 1.6 mm x2 = 8 mm Y₁ = 1.8 mm Y2 = 9 mm X₂ X₁ У1 Y₂ Xarrow_forwardThe slender bar lies in the x-y plane. Its mass is 6 kg and the material is homogeneous. Use integration to determine its moment of inertia about the z-axisarrow_forward
- Determine the moment of inertia and the radius of gyration of the shaded area with respect to the y-axis. Given: r= 75 mm. 125 mm 125 mm- 250 mm The moment of inertia is The radius of gyration is *106 mm4. mm.arrow_forwardDetermine the moment of inertia and the radius of gyration of the shaded area with respect to the x-axis. Given: r = 79 mm. 125 mm 125 mm - 250 mm The moment of inertia is The radius of gyration is *106 mm4. mm.arrow_forwardDetermine the moment of inertia of the solid steel assembly about the x axis. Steel has a specific weight of Ya - 490 lb/ft³. 0.25 ft 0.5 ft -3 ftarrow_forward
- 3. If the large ring, small ring, and each spoke weigh 90 lb, 20 lb, and 15 lb respectively. Find the mass moment of inertia of an axis that extends perpendicular to the page and passes through point A. ✔ S.W. O 1 ft- 4 ftarrow_forwardThe shaded area has the following properties: 4 = 126 x10 mm* ; 1, = 6,55 x10* mm* ; and Pay =-1.02 10° mm* Determine the moments of inertia of the area about the x' and v' axes if e=30°.arrow_forwardDetermine the moment of Inertia about given x and y axis in the following figure if a = 10 mm.arrow_forward
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