Moment Of Inertia

 

Card # 9 Moment of inertia of regular shaped bodies: Moment of Inertia Moment of inertia of rotating motion is the property due to with, it opposes the torque. Moment of inertia I = mr2 and Its S.I. unit is kg m2

Radius of Gyration If the mass of the body is assumed to be concentrated at a point then the perpendicular distance between that point and the axis of rotation is called radius of gyration of the body. It is represented by K. I = MK2, I = ∑mr2 or ∑mr2/M

Center of mass: The center of mass of a body is the point of a body, where the whole mass of the body can be assumed to be concentrated. If r1, r2, r3 ……. are the position vector of the respectively. Then the position of center of mass of the system is masses m1, m2 3…… given by