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152_Problem CHAPTER 9

152_Problem CHAPTER 9 - PROBLEM 9.124 Determine by direct...

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PROBLEM 9.124 Determine by direct integration the moment of inertia with respect to the x axis of the tetrahedron shown assuming that it has a uniform density and a mass m . SOLUTION Have 1 ay xy a a hh  =+   and 1 by zy b b For the element shown 2 11 1 22 y dm xzdy ab dy h ρρ == + Then 2 0 1 1 2 h y md m a b d y h ρ + ∫∫ 0 3 1 1 23 h hy ab h + () ( ) 33 1 1 6 abh =− 1 6 abh = Now, for the element
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