**Content:** 17v-IDZ13.3.doc (130.00 KB)

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1. Calculate the mass of the D heterogeneous plate, given the limited lines, if the areal density at each point μ = μ (x, y)

1.17. D: y = x2 - 1, y = 1, μ = 3x2 + 2y2 + 1

2. Calculate the static moment of a homogeneous plate the D, limited data lines, with respect to said axis, using polar coordinates.

2.17. D: x2 + y2 - 2ay = 0, x2 + y2 - ay = 0, x ≤ 0, Ox

3. Calculate the coordinates of the center of mass of a homogeneous body, occupying the area of the V, bounded by said surfaces.

3.17. V: z = 3 (x2 + y2), x2 + y2 = 9, z = 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.

4.17. V: x2 = y2 + z2, x = 2, Ox

1.17. D: y = x2 - 1, y = 1, μ = 3x2 + 2y2 + 1

2. Calculate the static moment of a homogeneous plate the D, limited data lines, with respect to said axis, using polar coordinates.

2.17. D: x2 + y2 - 2ay = 0, x2 + y2 - ay = 0, x ≤ 0, Ox

3. Calculate the coordinates of the center of mass of a homogeneous body, occupying the area of the V, bounded by said surfaces.

3.17. V: z = 3 (x2 + y2), x2 + y2 = 9, z = 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.

4.17. V: x2 = y2 + z2, x = 2, Ox

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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