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

Elements Of Electromagnetics
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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
30 mm
20 mm
20 mm
120 mm
30 mm
20 mm
B0 mm
30 mm
10 mm
40 mm
10 mn
S0 mm
L.
s0 mm
Figure 7.
Transcribed Image Text: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 30 mm 20 mm 20 mm 120 mm 30 mm 20 mm B0 mm 30 mm 10 mm 40 mm 10 mn S0 mm L. s0 mm Figure 7.
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