Answer to Question #328911 in Mechanics | Relativity for Liam

Question

A 2 kg rectangular thin plate has a length of 0.5 m and a width of 0.20. the moment of inertia

of the plate is 0.29 kg-m2

. Where is the location of the axis of rotation?

Answer 1

$I_0=\frac{m(a^2+b^2)}{12}=\frac I6,$

$I=6I_0=I_0+md^2,$

$md^2=5I_0=\frac 56I,$

$d=\sqrt\frac{5I}{6m}=0.35~m.$