Tracey and Corey are doing intensive research on theoretical baton-twirling. Each is using The Beast as a
Question:
Tracey and Corey are doing intensive research on theoretical baton-twirling. Each is using "The Beast" as a model baton: two uniform spheres, each of mass 500 g and radius 5 cm, mounted at the ends of a 30-cm uniform rod of mass 60 g (Figure). Tracey and Corey want to calculate the moment of inertia of The Beast about an axis perpendicular to the rod and passing through its center. Corey uses the approximation that the two spheres can be treated as point particles that are 20 cm from the axis of rotation, and that the mass of the rod is negligible. Tracey, however, makes her calculations without approximations.
(a) Compare the two results.
(b) If the spheres retained the same mass but were hollow, would the rotational inertia increase or decrease? Justify your choice with a sentence or two. It is not necessary to calculate the new value ofi.
Transcribed Image Text:
L-!30 em 10 cm 10 cm m160 g 500g 5008 Axis of rotation
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a Use point mass approximation for I app I app 2 05 02 2 kgm 2 004 kgm 2 Using Table 9...View the full answer
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