QUESTION 1 In the 'primary' coordinate basis, second order tensor has components -500 S= 0 3...

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QUESTION 1 In the 'primary' coordinate basis, second order tensor has components -500 S= 0 3 1 0 13 (a) Find the principal invariants of this tensor. [3 marks) (b) A new 'secondary co-ordinate basis is introduced through counter-clockwise 90° rotation of the 'primary coordinate system about the x3 axis. Determine the transformation matrix Q for this coordinate transformation. [4 marks] (C) Find components of tensor s in the 'secondary' coordinate basis. [3 marks) QUESTION 1 In the 'primary' coordinate basis, second order tensor has components -500 S= 0 3 1 0 13 (a) Find the principal invariants of this tensor. [3 marks) (b) A new 'secondary co-ordinate basis is introduced through counter-clockwise 90° rotation of the 'primary coordinate system about the x3 axis. Determine the transformation matrix Q for this coordinate transformation. [4 marks] (C) Find components of tensor s in the 'secondary' coordinate basis. [3 marks)