# Two balls with masses M and m are connected by a rigidrod of length L and negligible mass as shown in FigureP10.28. For an axis perpendicular to the rod, (a) show thatthe system has the minimum moment of inertia when theaxis passes through the center of mass. (b) Show that this R moment of inertia is I = uL2, where u=mM/(m 1 M).

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Two balls with masses M and m are connected by a rigid
rod of length L and negligible mass as shown in Figure
P10.28. For an axis perpendicular to the rod, (a) show that
the system has the minimum moment of inertia when the
axis passes through the center of mass. (b) Show that this R moment of inertia is I = uL2, where u=mM/(m 1 M).

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Step 1

Given:

Masses of the balls are M and m respectively.

Length of the rod, = L

We know that moment of inertia around the axis:

Step 2

(a)

Writing the moment of inertia from the fig.

Step 3

Which is also the center of...

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