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DHS 13.3 - Option 14. Decisions Ryabushko AP
Uploaded: 17.01.2024
Content: 14v-IDZ13.3.doc 125 kB
Product description
1. Calculate the mass of the D heterogeneous plate, given the limited lines, if the areal density at each point μ = μ (x, y)
1.14. D: x = 0, y = 0, x + y = 1, μ = 2x2 + y2
2. Calculate the static moment of a homogeneous plate the D, limited data lines, with respect to said axis, using polar coordinates.
2.14. D: x2 + y2 - 2ax = 0, x2 + y2 - ax = 0, y ≥ 0, Oy
3. Calculate the coordinates of the center of mass of a homogeneous body, occupying the area of the V, bounded by said surfaces.
3.14. V: 4y = √x2 + z2, x2 + z2 = 16, y = 0
4. Calculate the moment of inertia with respect to said homogeneous body axes, occupying the area of the V, the limited data surfaces. body density δ taken equal to 1.
4.14. V: z = x2 + y2, z = 3, Oz
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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