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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 m V AL ρ ρ = = Then ( ) ( ) ( ) 2 3 1 2 7850 kg/m 0.0015 m 0.36 m m m π π = = × × 2 1 0.062756 kg m m = = ( ) ( ) ( ) 2 3 3 4 7850 kg/m 0.0015 m 0.36 m m m π = = × 0.019976 kg = Using the equations given above and the parallel axis theorem, have ( ) ( ) ( ) ( ) 1 2 3 4 x x x x x I I I I I = + + + where ( ) ( ) 3 4 x x I I = Then ( ) ( ) ( ) ( ) ( ) 2 2 2 1 1 0.062756 kg 0.36 m 0.062756
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