A thin plate with uniform thickness of 2 mm, on which there are two circular holes and a hole composed of a rectangle and semi-circle, as illustrated in Figure 7. The plate is made of gold in density of p = 19,300 kg/m. Please determine: 1) The moment of inertia I, Iy, I, and ly, with respect to the two-coordinate frame located outside (x, y) and inside (x',y). 2) The product of inertia Iy and Ly, with re respect to the two-coordinate frame located outside (x, y) and inside (r',y'). 3) The polar moment of inertia J, and Ja, respect to the two-coordinate frame located outside (x, y) and inside (x',y'). 120 mm 20 mm 30 mm 20 mm 120 mm 20 mm 30 mm B0 mm 30 mm 10 mm 40 mm 10 mn S0 mm 50 mm

A thin plate with uniform thickness of 2 mm, on which there are two circular holes and a hole composed of a rectangle and semi-circle, as illustrated in Figure 7. The plate is made of gold in density of p = 19,300 kg/m. Please determine: 1) The moment of inertia I, Iy, I, and ly, with respect to the two-coordinate frame located outside (x, y) and inside (x',y). 2) The product of inertia Iy and Ly, with re respect to the two-coordinate frame located outside (x, y) and inside (r',y'). 3) The polar moment of inertia J, and Ja, respect to the two-coordinate frame located outside (x, y) and inside (x',y'). 120 mm 20 mm 30 mm 20 mm 120 mm 20 mm 30 mm B0 mm 30 mm 10 mm 40 mm 10 mn S0 mm 50 mm

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.87RP

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