Moment of Inertia doubt

3 Answers

1
Anirban ·

plz tell ur answer asish

1
Anirban ·

plz elaborate a little bit more(ur answer is right)

106
Asish Mahapatra ·

deleting previous posts for convenience

SOl:
Let X be axis thru centre of plate and perpendicular to plane of plate
Consider axis BB' and its perpendicular axis (say CC').
As the square plate is as symmetrical about BB' as it is about CC',

So MOI(BB') = MOI(CC')

but according to perp. axis theorem,

MOI(BB') + MOI(CC') = MOI(X) ... (1)

But MOI(AA') = MOI(X)/2 .. (2) (Use perp. axis thm with itself and a perpendicular axis)

=> MOI(BB') = MOI(AA') = Io

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