The three masses shown in the figure(Figure 1) are connected by massless, rigid

Question

The three masses shown in the figure(Figure 1) are connected by massless, rigid rods.

A) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.

B) Find the moment of inertia about an axis that passes through masses B and C.

The three masses shown in the figure(Figure 1) are connected by massless, rigid rods. A) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. B) Find the moment of inertia about an axis that passes through masses B and C.

Explanation / Answer

"x" coordinate of the system

(mArA + mBrB + mCrC) / (mA + mB + mC)

[ ( {200 g}*{0cm} ) + ( {100 g}*{0cm} ) + ( {100g}*{12 cm} ) ] / (200.0g + 100.0 g + 100.0 g)

= ({100.0g}*{12cm}) / (200.0g + 100.0 g + 100.0 g)

= (1200gcm) / (400g)

= 3 cm

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find the "y" coordinate.

(mArA + mBrB + mCrC) / (mA + mB + mC)

[ ( {200.0g}*{0cm} ) + ( {100 g}*{12cm} ) + ( {100.0g}*{0cm} ) ] / (200g + 100 g + 100 g)

({100 g}*{12cm}) / (200g + 100 g + 100 g)

(1200gcm) / (400g)

= 3 cm.

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