Mathematics
Mathematics, 29.07.2019 22:00, adrianna2324

Find the inertia tensor for an equilateral triangle in the xy plane.

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Physics, 04.07.2019 23:20, idk12345677
A)a child of mass 35 kg is sitting on the seat of a swing, suspended from a rigid bar on ropes that are 2.0 m long. calculate the moment of inertia of the child with respect to the bar about which the swing rotates. b) two very thin concentric circular hoops of mass 0.20 kg and 0.30 kg have radi of 1.5 m and 0.90 m respectively. they are connected by rigid links of negligible mass such that they lie in the same plane. calculate the system's moment of inertia about an axis through the centre and perpendicular to the plane of the hoops. c)two charges of +2.0 uc and +3.0 uc are held fixed at the lower two corners of an equilateral triangle of side length 1.0 m, in a vacuum. how much energy is required to move a point charge of -4.0 uc from a point midway between the other two charges to the apex of the triangle?
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Physics, 13.07.2019 01:20, hoboethan
Consider a solid cone with uniform density \rho, height h, and circular base with radius r (mass hr ). let the vertex of the cone be the origin of the body frame. by symmetry, choose basis vectors \mathbf{e}_{i} for the body frame such that the inertia tensor i_{ij} is diagonal. (a) will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? calculate the inertia tensor in this basis. (b) how will the inertia tensor change if we change the body origin to the center of mass while the basis vectors remain fixed? hint: steiner’s parallel axis theorem might with this part of the problem.
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Mathematics, 06.11.2019 05:31, madcat226
Consider a rigid plane body or "lamina," such as a flat piece of sheet metal, rotating about a point 0 in the body. if we choose axes so that the lamina lies in the xy plane, which elements of the inertia tensor i are automatically zero? prove that 4, = ixx + iyy•
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