Answer to Question #328911 in Mechanics | Relativity for Liam

Question #328911

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?



1
Expert's answer
2022-04-19T16:32:00-0400

I0=m(a2+b2)12=I6,I_0=\frac{m(a^2+b^2)}{12}=\frac I6,

I=6I0=I0+md2,I=6I_0=I_0+md^2,

md2=5I0=56I,md^2=5I_0=\frac 56I,

d=5I6m=0.35 m.d=\sqrt\frac{5I}{6m}=0.35~m.


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