Serway & Jewett — Rotation of a Rigid Object about a Fixed Axis: Problem 25

Rigid rods of negligible mass lying along the $y$ axis connect three particles (Fig. P10.25). The system rotates about the $x$ axis with an angular speed of $2.00\text{ rad/s}$. Find (a) the moment of inertia about the $x$ axis, (b) the total rotational kinetic energy evaluated from $\frac{1}{2}I\omega^2$, (c) the tangential speed of each particle, and (d) the total kinetic energy evaluated from $\sum \frac{1}{2}m_iv_i^2$. (e) Compare the answers for kinetic energy in parts (b) and (d).