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Izz Izy Izz I= Iyr Iyy lyz Izz Izy Izz) エ For a set of discrete mass m, with cartesian coordinates (ri, yi, zi) connected by massless rod, the components of the moment of inertia can be obtained using the following relations: Ixx = Σmi (y² + z²) Iyy = Σmi (x² +2²) Izz = [m₂(x² + y²) Izy = Iyx = - Σmix ¡Yi -Σmixizi -Σmyizi Izz = Izx Iyz = Izy I= (4ma² == == 0 0 4ma² 0 0 0 08ma² (b) A rigid body consists of three point masses of 2 kg, 1 kg, and 4 kg connected by massless rod. These masses are located at coordinates (1,-1, 1), (2,0, 2), and (-1, 1, 0) (in meters) respectively. . Using the formulae given for the components of the moment of inertia tensor, compute the inertia tensor of this system. • What is the angular momentum vector of this body if it is rotating with an angular velocity w (3,-2, 4)?

Izz Izy Izz I= Iyr Iyy lyz Izz Izy Izz) エ For a set of discrete mass m, with cartesian coordinates (ri, yi, zi) connected by massless rod, the components of the moment of inertia can be obtained using the following relations: Ixx = Σmi (y² + z²) Iyy = Σmi (x² +2²) Izz = [m₂(x² + y²) Izy = Iyx = - Σmix ¡Yi -Σmixizi -Σmyizi Izz = Izx Iyz = Izy I= (4ma² == == 0 0 4ma² 0 0 0 08ma² (b) A rigid body consists of three point masses of 2 kg, 1 kg, and 4 kg connected by massless rod. These masses are located at coordinates (1,-1, 1), (2,0, 2), and (-1, 1, 0) (in meters) respectively. . Using the formulae given for the components of the moment of inertia tensor, compute the inertia tensor of this system. • What is the angular momentum vector of this body if it is rotating with an angular velocity w (3,-2, 4)?

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Ixx Izy Izz --(29 Iyx Iyy lyz Iza Izy Izz, I = For a set of discrete mass m, with cartesian coordinates (xi, yi, Zi) connected by massless rod, the components of the moment of inertia can be obtained using the following elations: Ixx = Σmi(y² + z²) Iyy = Σm₂(x² +2²) Ixy I = i Izz = [m₂(x² + y²) i = Iyx = -mixiyi Izz = Izx = - Iyz = Izy 4ma² 0 0 -Σmix izi -Σmiyizi == 0 4ma² 0 0 0 8ma² (b) A rigid body consists of three point masses of 2 kg, 1 kg, and 4 kg connected by massless rod. These masses are located at coordinates (1, -1, 1), (2,0, 2), and (-1, 1,0) (in meters) respectively. Using the formulae given for the components of the moment of inertia tensor, compute the inertia tensor of this system. What is the angular momentum vector of this body if it is rotating with an angular velocity w=(3, -2, 4)? • Find the principal moments and a set of principal axes.
Transcribed Image Text:Ixx Izy Izz --(29 Iyx Iyy lyz Iza Izy Izz, I = For a set of discrete mass m, with cartesian coordinates (xi, yi, Zi) connected by massless rod, the components of the moment of inertia can be obtained using the following elations: Ixx = Σmi(y² + z²) Iyy = Σm₂(x² +2²) Ixy I = i Izz = [m₂(x² + y²) i = Iyx = -mixiyi Izz = Izx = - Iyz = Izy 4ma² 0 0 -Σmix izi -Σmiyizi == 0 4ma² 0 0 0 8ma² (b) A rigid body consists of three point masses of 2 kg, 1 kg, and 4 kg connected by massless rod. These masses are located at coordinates (1, -1, 1), (2,0, 2), and (-1, 1,0) (in meters) respectively. Using the formulae given for the components of the moment of inertia tensor, compute the inertia tensor of this system. What is the angular momentum vector of this body if it is rotating with an angular velocity w=(3, -2, 4)? • Find the principal moments and a set of principal axes.
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