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Moment of Inertia Moment of Inertia Area moment of Inertia Mass moment of Inertia Mass Moment of Inertia The resistance of a body to changes in angular acceleration is described by the body’s mass moment of inertia about the axis of rotation. By definition, the mass moment of inertia is I = ∫m r2 dm Graphics and problem statements © 2004 R.C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. Where r is the distance from the axis of rotation to the differential mass element dm. Moment of Inertia of rectangular plate about the axis passing through Diagonal C B M/2 h M/2 A D b 2 I AC 2 1 bh M 2 2 6 b h Moment of Inertia of rectangular plate about the axis passing through Diagonal y B C h x h/2 x A b/2 b y D Find out the moment of inertia about & identify the maximum and minimum (i) XX (ii) YY (iii) AD (iv) AB (v) AC Moment of Inertia of hallow sections Relative density (Specific gravity) Density of the body Relative Density (Specific gravity) of a body Density of water b Vb b g wt of the body in air rb w Vb w g Buoyant Force Wair wt of the body in air wt of the body in air rb Buoyant Force Wt lost by the body Wair Wwater Relative density (Specific gravity) Density of the liquid Relative Density (Specific gravity) of a liquid Density of water l Vb l g Buoyant force in liquid rl w Vb w g Buoyant Force in water Wair Wliquid Buoyant force in liquid Wt lost by the body in liquid rl Buoyant Force in water Wt lost by the body in water Wair Wwater