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

Question

The four masses shown in the figure( Figure 1 ) are connected by massless, rigid rods. Assume that m = 150 g. What is the z-coordinate of the center of mass? Express your answer to two significant figures and include the appropriate units. What is the y-coordinate of the center of mass? Express your answer to two significant figures and include the appropriate units. Find the moment of inertia about an axis that passes through mass A and is perpendicular to the plane of the image. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A) ZCM = (mAzA+mBzB+mCzC+mDzD)/(mA+mB+mC+mD) = 0.0 cm

B) ZCM = (mAyA+mByB+mCyC+mDyD)/(mA+mB+mC+mD) = (0.1*0+0.15*0.08+0.15*0.1+0.15*0)/(0.15+0.1+0.1+0.1) = 0.06 m = 6.0 cm

C) rC = sqrt(0.^2+0.08^2) = 0.128 m

I = mArA2 +mBrB2 + mCrC2 +mDrD2 = 0.1*02 +0.15*0.082 +0.15*0.1282 +0.15*0.102 = 0.0049 kg*m2

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