Determine The Moment Of Inertia Of Rectangular Lamina (i) About An Axis Parallel To Its Breadth And Passing Through Its Centre Of Mass, The Axis Lying In The Plane Of The Lamina, (ii) About An Axis Parallel To Its Length And Passing Through Its Centre Of Mass, The Axis Lying In The Plane Of The Lamina, (iii) About An Axis Passing Through Its Centre Of Mass And Perpendicular To The Plane Of The Lamina.

(i) Moment of inertia of rectangular lamina about an axis parallel to its breadth and passing through its centre of mass: Fig. 1 Let us consider a rectangular lamina ABCD…

Continue ReadingDetermine The Moment Of Inertia Of Rectangular Lamina (i) About An Axis Parallel To Its Breadth And Passing Through Its Centre Of Mass, The Axis Lying In The Plane Of The Lamina, (ii) About An Axis Parallel To Its Length And Passing Through Its Centre Of Mass, The Axis Lying In The Plane Of The Lamina, (iii) About An Axis Passing Through Its Centre Of Mass And Perpendicular To The Plane Of The Lamina.

Calculate The Moment Of Inertia Of A Thin Uniform Rod (i) About An Axis Passing Through Its Centre And Perpendicular To Its Length, (ii) About An Axis Passing Through One Of Its End And Perpendicular To Its Length.

(i) Moment of inertia of a thin uniform rod about an axis passing through its centre and perpendicular to its length: Fig. 1 Let us consider a thin uniform rod…

Continue ReadingCalculate The Moment Of Inertia Of A Thin Uniform Rod (i) About An Axis Passing Through Its Centre And Perpendicular To Its Length, (ii) About An Axis Passing Through One Of Its End And Perpendicular To Its Length.

Calculate The Moment Of Inertia Of A Hollow Sphere (i) About A Diameter, (ii) About A Tangent, (iii) About An Axis Through The Centre Of The Hollow Sphere.

(i) Moment of inertia of a hollow sphere about a diameter: Fig. 1 Let us consider a hollow sphere of inner radius and outer radius . So the volume of…

Continue ReadingCalculate The Moment Of Inertia Of A Hollow Sphere (i) About A Diameter, (ii) About A Tangent, (iii) About An Axis Through The Centre Of The Hollow Sphere.

Derive An Expression For Moment Of Inertia Of A Uniform Solid Sphere (i) About A Diameter, (ii) About A Tangent, (iii) About An Axis Passing Through The Centre.

(i) Moment of inertia of a uniform solid sphere about one of its diameter: Fig. 1 Let us consider a uniform solid sphere of radius r and mass M, rotating…

Continue ReadingDerive An Expression For Moment Of Inertia Of A Uniform Solid Sphere (i) About A Diameter, (ii) About A Tangent, (iii) About An Axis Passing Through The Centre.

Obtain An Expression For The Moment Of Inertia Of A Hollow Cylinder (i) About Its Own Axis, (ii) About An Axis Passing Through The Centre Of Mass Of The Cylinder And Perpendicular To Its Length.

(i) Moment of inertia of a hollow cylinder about its own axis: Fig. 1 Let us consider a hollow cylinder of inner radius , outer radius and length . So…

Continue ReadingObtain An Expression For The Moment Of Inertia Of A Hollow Cylinder (i) About Its Own Axis, (ii) About An Axis Passing Through The Centre Of Mass Of The Cylinder And Perpendicular To Its Length.

Calculate The Moment Of Inertia Of A Solid Circular Cylinder (i) About Its Own Axis, (ii) About An Axis Passing Through Its Centre Of Mass And Perpendicular To Its Length.

Moment of inertia of a solid circular cylinder about its own axis: Let us consider a solid circular cylinder of length l and radius r be rotating about its own…

Continue ReadingCalculate The Moment Of Inertia Of A Solid Circular Cylinder (i) About Its Own Axis, (ii) About An Axis Passing Through Its Centre Of Mass And Perpendicular To Its Length.

Determine The Moment Of Inertia Of An Annular Disc Or Ring (i) About An Axis Through Its Centre And Perpendicular To Its Plane, (ii) About A diameter, (iii) About A Tangent In Its Own Plane, (iv) About A Tangent Perpendicular To Its Plane.

An annular disc is a flat circular ordinary disc, which has a concentric circular hole in it. (i) Moment of inertia of an annular ring or disc through its centre…

Continue ReadingDetermine The Moment Of Inertia Of An Annular Disc Or Ring (i) About An Axis Through Its Centre And Perpendicular To Its Plane, (ii) About A diameter, (iii) About A Tangent In Its Own Plane, (iv) About A Tangent Perpendicular To Its Plane.

Determine The Moment Of Inertia Of A Plane Circular Disc (i) About An Axis Through Its Centre And Perpendicular To Its Plane, (ii) About A Diameter, (iii) About A Tangent, (iv) About An Axis Tangential To The Disc And Perpendicular To Its Plane.

(i) Moment of inertia of a plane circular disc about an axis through its centre and perpendicular to its plane: Fig.1 Let us consider a circular disc of radius r…

Continue ReadingDetermine The Moment Of Inertia Of A Plane Circular Disc (i) About An Axis Through Its Centre And Perpendicular To Its Plane, (ii) About A Diameter, (iii) About A Tangent, (iv) About An Axis Tangential To The Disc And Perpendicular To Its Plane.