Parallel axis theorem and moment of inertia

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Edwardo_Elric
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Homework Statement


A thin rectangular sheet of steel is 0.30m by 0.40m and has mass 0.470kg. Find the moment of inertia about an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.


Homework Equations


Parallel axis theorem:
Ip = Icm + Md^2
Rectangular plate(but not thin):
Icm = 1/12 M(a^2 + b^2) << where a and b are the sides of the rectangle


The Attempt at a Solution



Ip = 1/12((0.30)^2 + (0.40m)^2) + (0.470kg)((0.15m)^2 + (0.20m)^2)
Ip = (0.0208333 + 0.029375)kg * m^2
Ip = 0.05021 kg * m^2
 
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Edwardo_Elric said:

Homework Statement


A thin rectangular sheet of steel is 0.30m by 0.40m and has mass 0.470kg. Find the moment of inertia about an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.


Homework Equations


Parallel axis theorem:
Ip = Icm + Md^2
Rectangular plate(but not thin):
Icm = 1/12 M(a^2 + b^2) << where a and b are the sides of the rectangle


The Attempt at a Solution



Ip = 1/12((0.30)^2 + (0.40m)^2) + (0.470kg)((0.15m)^2 + (0.20m)^2)

you didn't multiply by M... 1/12M (a^2 + b^2)
 
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