207_Problem CHAPTER 9

207_Problem CHAPTER 9 - PROBLEM 9.149 The figure shown is...

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PROBLEM 9.149 The figure shown is formed of 3-mm-diameter steel wire. Knowing that the density of the steel is 3 7850 kg/m , determine the mass moment of inertia of the wire with respect to each of the coordinate axes. SOLUTION Have mV A L ρ = = Then ( ) () ( ) 2 3 12 7850 kg/m 0.0015 m 0.36 m mm ππ  == × ×   21 0.062756 kg ( ) ( ) 2 3 34 7850 kg/m 0.0015 m 0.36 m π × 0.019976 kg = Using the equations given above and the parallel axis theorem, have ( ) ( ) ( ) ( ) 1234 x xx xx I IIII =+++ where ( ) ( ) x x I I = Then ( ) 22 2 11 0.062756 kg 0.36 m
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