Find the moment of mass for solid about xy-plane in the first octant which bounded by xy-plane, xz-plane, plane z + y = 2 and x = Given density function 8(x,y, z) ==. 1
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A: Given M1= 142.54 kg M2= 82.55 kg M3= 8 kg D1= (3,6) D2= (1,6) D3= (5,9)
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- • Problem 3.22 The potential energy between the atoms of an hydrogen molecule can be modelled by means of the Morse potential -2(r – ra) (r V (r) = V exp 2 еxp where Vo = 7 × 10 12 erg, ) = 8 x 10-º cm and a = 5 x 10-º em.Now compute the torque, in N • cm. Now calculate the torque produced by each force.Let B be the solid bounded by the surfaces z = x^2+2y^2, x^2+y^2=16, and the xy-plane(distances in cm). If B has a constant mass density of 5g/cm^3, find the moment of inertia of B about the axis through(4,3,2) that is perpendicular to the yz-plane
- In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of and an adjacent C-H bond is at the direction . results to an angular bond of approximately 109o for a static frozen molecule. However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.93i + 0.91j + 1.09k B = 1.02i + -0.99j + -1.08kExample 11-6: Torque vector. Suppose the vector ř is in the xz plane, and is given by i = (1.2 m)î + 1.2 m)k Calculate the torque vector t if F= (150 N) i.(a) Explain what a principal axis system for a rigid body is. (b) Write down the definition of the moment of inertia of a rigid body with respect to a fixed axis ñ. (c) If the principal moments of inertia of a rigid body are all equal, I₁ = I₂ = I3, does that imply that the mass-distribution p(x) in the rigid body is spherically symmetric? Give a short explanation. (d) State what a normal mode is.