A rectangular brass bar of mass M has dimensions a, b, c as shown in the figure below. The moment of inertia I about the axis at the centre of the ab face and perpendicular to it, is given by: ?=?/12(?^2+?^2). The following measurements are made: ?=135.0±0.1? ? =80±1 ?? ? =10±1 ?? ? =20.00±0.01 ?? Calculate the standard error in: a) the density ρ of the material b) the moment of inertia I

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A rectangular brass bar of mass M has dimensions a, b, c as shown in the
figure below. The moment of inertia I about the axis at the centre of the ab
face and perpendicular to it, is given by: ?=?/12(?^2+?^2).

The following measurements are made:
?=135.0±0.1?
? =80±1 ??
? =10±1 ??
? =20.00±0.01 ??
Calculate the standard error in:
a) the density ρ of the material
b) the moment of inertia I

 

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