1.

(a) Provethe theorem of perpendicular axes.(Hint:Square of the distance of a point (x,y)in the x–yplanefrom an axis through the origin perpendicular to the plane is x2+y2).(b) Provethe theorem of parallel axes.(Hint:If the centre of mass is chosen to be the origin ).

Answer»

(a) Prove
the theorem of perpendicular axes.



(Hint:
Square of the distance of a point (
x,
y
)
in the
x–y
plane
from an axis through the origin perpendicular to the plane is
x2
+
y
2).



(b) Prove
the theorem of parallel axes.



(Hint:
If the centre of mass is chosen to be the origin

).



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