160_Problem CHAPTER 9

160_Problem CHAPTER 9 - PROBLEM 9.128 A thin triangular...

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PROBLEM 9.128 A thin triangular plate of mass m is welded along its base AB to a block as shown. Knowing that the plate forms an angle θ with the y axis, determine by direct integration the mass moment of inertia of the plate with respect to ( a ) the x axis, ( b ) the y axis, ( c ) the z axis. SOLUTION For line BC 2 h x h a ζ = −+ () 2 h ax a =− Also 1 2 mV t a h ρρ  ==   1 2 tah ρ = ( a ) Have 2 2 1 12 2 x dI dm dm ′′ =+ 2 1 3 dm = where dm t dx
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