Imagine a metal rod 0.4 m long with a mass of 2 kg. You attach the rod at one end by a lightweight 3.0-m-long cord and twirl the rod around your head. Which expression below gives the best estimate of the moment of inertia of the rod-cord system?
a) I=mr^2, where m = 2kg and r = 3.2m
b) I=1/3mr^2, where m = 2kg and r = 3.4
c) I=1/12mr^2, where m = 2kg and r = 1.7m
d) I=mr^2, where m= 2kg and r = 3.4m
Answers: 3
![I=\frac{M}{L}[\frac{3.4^3}{3}-\frac{3^3}{3} ] \\\\I=\frac{2}{(0.4\times3)}[\frac{3.4^3}{3}-\frac{3^3}{3} ]\\\\I=\frac{2}{1.2}(39.304-9)\\\\I=1.67\times12.304\\\\I=20.51](/tpl/images/0698/5572/82b37.png)
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