Question: Question 2 (10 marks) Consider a tetrahedron T bounded by the planes Where all dimensions are in metres. The tetrahedron is made of a material

 Question 2 (10 marks) Consider a tetrahedron T bounded by the

Question 2 (10 marks) Consider a tetrahedron T bounded by the planes Where all dimensions are in metres. The tetrahedron is made of a material with uniform density p(x, y, z) : 3 kg m'3 and has a total mass of 18 kg. a. Sketch or plot the tetrahedron in 3 dimensions and clearly label each side with the corresponding plane. You may use software to help. (3 marks) . _ 3 b. Calculate the centre of mass along they ax1s, y : E If y dV. 1" (2 marksfor limits + 5 marksfor integral : 7 marks)

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