(a) Prove the theorem of perpendicular axes. (b) Prove the theorem of

1.	(a) Prove the theorem of perpendicular axes. (b) Prove the theorem of parallel axes.
Answer» Solution :(a) Square of the distance of a point `(X, y)` in the x–y plane from an AXIS through the origin and perpendicular to the plane is `x^(2)+y^(2)` If the centre of MASS of a SYSTEM of n particles is CHOSEN to be the origin `Sigmam_(i)r_(i)=0`.

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