Walker, Halliday & Resnick — Rotation: Problem 35

35 A meter stick of negligible mass can rotate about a vertical axis through a point at distance x from the point marked “0”. A small block of mass 0.100 kg is glued at the mark of “0” and a small block of mass 0.500 kg is glued at the opposite end, at the mark of “1.” The stick and blocks are to rotate with an angular speed of 5.00 rad/min. (a) For what choice of x is the associated rotational kinetic energy least and (b) what is that least energy?