Halliday, Resnick & Walker — Rotation: Problem Problem_62

In Fig. 10.16, three 0.0100 kg particles have been glued to a rod of length $L = 6.00 \text{ cm}$ and negligible mass and can rotate around a perpendicular axis through point $O$ at one end. How much work is required to change the rotational rate (a) from 0 to $20.0 \text{ rad/s}$, (b) from $20.0 \text{ rad/s}$ to $40.0 \text{ rad/s}$, and (c) from $40.0 \text{ rad/s}$ to $60.0 \text{ rad/s}$? (d) What is the slope of a plot of the assembly’s kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)?