By the theorem of parallel axes:

According to the theorem of parallel axes I = I_("cm") + Mx^(2) , the graph between I and x will be

(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 and perpendicular to the plane is ^(x2)+y^(2)) . (b) Prove the theorem of parallel axes. (Hint : If the centre of mass of a system of n particles is chosen to be the origin summ_(i)r_(i)=0 ).

State theorem of parallel axes and therom of perpendi cular axes about moment of inertia.

State and prove theorem of parallel axes.

Using theorem of parallel axes, calculate the moment of inertia of a disc of mass 400 g and radius 7 cm about an passing through its edge and perpendicular to its plane.

Theorem of parallel axes is applicable for

योग का प्रमेय (Theorem of Addition)|समांतर अक्षों का प्रमेय (Theorem of Parallel axes)|लंब अक्षों का प्रमेय (Theorem of Perpendicular axes)|बल-आघूर्ण और जड़त्व-आघूर्ण में सम्बन्ध (Relation between force and moment of inertia)|कोणीय संवेग और जड़त्व-आघूर्ण में संबंध (Relation between angular momentum and moment of Inertia)|कोणीय संवेग संरक्षण का नियम (Law of Conservation of angular momentum)

By the theorem of perpendicular axes, if a body be in X-Z-plane then :-