Use integration to find the centre of mass of the uniform lamina occupying the finite regi bounded by the curve with equation y = 3x², the x-axis and the line x = 2. (1.5,3.6)

Q: If n1 is an eigenvector for a strain tensor, prove it is also a principal direction for the stress…

A: The relative change in the position of points within a body that has experienced deformation is…

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A: The given information in the problem is represented in the following attached image:

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A: Given f(x,y) =5y3x2 ;(-2,-1)

Q: Coupled Harmonic Oscillators X, =0 x= x' = 2t Derivative X= x" = 2nd Derivative ki k2 k3 we M A)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Show that the following vector field is conservative: F (4 xy - 2z)î +(2 x² - 6 yz ) ĵ +(-3 y² -…

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Q: Use De Moivrés theorem to determine the modulii and the arguments of (9 - j3)^(1/3) Give your…

A: to find:the moduli and argument using De Moivres theorem in polar and cartisian formgiven:

Q: Find solutions for the divergence and curl of the vector field y at (1, 0, -1). v (x, y, z) = x²z²į…

A: The vector field is V=x2z2i⇀+xyzj⇀+zcosy4k⇀. The position is (1,0,-1) The divergence is ∇·V is the…

Q: find & By, and B.

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Q: The inertia matrix about O, 1(0, x, y, z), of a cylinder of height H, radius Rand mass M is: R R²/2…

A: To find: The inertia matrix of the solid cylinder about the mentioned co-ordinates. Formula used:…

Q: Problem 3.2 If ni is an eigenvector for the strain tensor, show it is also a principal direction for…

A: The relative change in the position of points within a body that has experienced deformation is…

Q: (c) y(x) = 1, r= √√√√√x² + y² + z² I 2

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Q: Plz answer this engineer math question ASAP,and used parameter equation,thx find the derivative…

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Q: ollowing integrand is the product of an odd and an even function. What is the result of the integral…

A: Given integration is

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.