5. Problem 11.50E (HRW) Two particles, each with mass m, are fastened to each
other, and to a rotation axis at O, by two thin rods, each with length l and
mass M as shown in the figure. The combination rotates around the rotation axis
with angular velocity
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Solution: Click For PDF Version (a) As mass of each rod is m and their combined length is
2l, the moment of inertia of the rods with respect to rotation axis at
O is
The moment of inertia of the two balls about O is
Therefore, the algebraic expression for the rotational inertia of the combination about O is
(b) And, the kinetic energy of rotation about O is
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