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Ģ) 1. Given the components of a tensor Λ1a as the matrix (0 1 0 1...
anti Symmetric electromagne the tensor Components IF te fu is an 1 Ereld tensor Show that maxwell Full the components opthe represent electromagn etic Freld equa tron
anti Symmetric electromagne the tensor Components IF te fu is an 1 Ereld tensor Show that maxwell Full the components opthe represent electromagn etic Freld equa tron
1. Consider the conjugate-metric tensor, whose components in inertial system S is element of the matrix y = diag(-1, +1, +1, +1). In another inertial system s', the components of the conjugate- metric tensor are given by = AA, where A', is element to of the matrix A= - n | - n1+ 6 -1) 1 - ny 7:6-1) -yon. 7:7(7-1) - ny (7-1) 1+n: 6-1) 7.7, 6-1) 1.6 - 1) 6-1) 1+ (-1) ) that is associated with the...
4.1.2 The components of tensor A are equal to the corresponding components of tensor B in one particular coordinate system denoted, by the superscript 0, that is, A - B Show that tensor A is equal to tensor B, Aj = By, in all coordinate systems. The let throa ramanente af. 4. vartar vanish in each of tware foranca framae If the 412
could u help me for this one??
14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For each matrix...
can I have the answer for (a)? thank u!!
14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For...
For an isotropic material, (a) Calculate the components of the strain tensor and the stress tensor for the following set of given displacements for an isotropic material: Uj = - X1 , U2 = -V – X2, U3 = -V – X3 , E E E where o is a constant. (b) Check the equilibrium equations to see if they are satisfied for zero body forces. (c) Show the edge tractions on a diagram of the body0 S XL SL,0...
4 Stress Tensor 1. Given: T=14 1 01 MPa. 0 0 1 (a) find the stress vector on the plane whose normal is in the direction of +ý (b) Find the normal stress on the same plane. (c) Find the magnitude of the tangential stress on the same plane. (d) Find the three principal directions of stress. Hint: the determinant of a 3 x3 11 a12 13 det a a2 a23a11 (a22033-a3223) a12 a1a33-a31a23)+a13(a2132-a31022) 031 a32 33 Given the following...
Equation 3.5.10 is below
We were unable to transcribe this image114 KINEMATICS OF 3.5.3 Infinitesimal Rotation Tensor e displacement gradient tensor can be expressed as the sum of a tensor and a skew symmetric tensor. We have where the symmetric part is similar to the infinitesimal strain tensor (and a when VuVoul << 1), and the skew symmetric part is known as the infinitesimal rotation tensor 3.i1 We note that there is no restriction placed on the magnitude of Vu...
for (a) plz thank u!!?
14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For each matrix A below,...
Linear Algebra
Problem # 4 Let A be a 4x4 matrix; the row vectors are a1-(1 230); a2 (452 1):a3-(12 5 0); a4-(2 311) Find a Symmetric matrix S and a skew symmetric T such that A- S+T