y m m M b a M м —х a a M m m Figure 10.19 (Example 10.10) Four spheres form an unusual baton. (a) The baton is rotated about the y axis. (b) The baton is rotated about the zaxis.
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Four tiny spheres are fastened to the ends of two rods of negligible mass lying in the xy plane to form an unusual baton (as shown). We shall assume the radii of the spheres are small compared with the dimensions of the rods. (A) If the system rotates about the y axis (10.19a) with an angular speed ω, find the moment of inertia and the rotational kinetic energy of the system about this axis. (B) Suppose the system rotates in the xy plane about an axis (the z axis) through the center of the baton (10.19b). Calculate the moment of inertia and rotational kinetic energy about this axis.
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