Rigid Body Dynamics
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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: Let us consider a thin uniform rod AB of…
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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: Let us consider a rectangular lamina ABCD of mass…
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Calculate The Moment Of Inertia Of A Circular Ring (i) About An Axis Passing Through Its Centre And Perpendicular To The Plane Of The Ring, (ii) About An Axis Passing Through Its Centre And Lying In The Plane.
(i) Moment of inertia of a circular ring about an axis passing through its centre and perpendicular to the plane of the ring: Let us consider a circular uniform ring…
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Determine The Moment Of Inertia Of A Uniform Elliptic Lamina Or Elliptic Disc (i) About Its Minor Axis, (ii) About Its Major Axis, (iii) About An Axis Passing Through The Centre Of The Disc And Perpendicular To Its Plane.
(i) Moment of inertia of a uniform elliptic lamina or elliptic disc about its minor axis: Let us consider a uniform elliptic lamina or elliptic disc of mass M, semi-major…
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Determine The Moment Of Inertia Of A Triangular Lamina (i) About One Of Its Sides, (ii) About An Axis Passing Through The Centre Of Gravity And Parallel To One Side, (iii) About An Axis Passing Through One Of Its Vertices And Parallel To Opposite Side.
(i) Moment of inertia of a triangular lamina about one of its side: Let us consider a triangular lamina ABC of mass M, is rotating about one of its sides…
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Obtain An Expression For The Moment Of Inertia Of A Solid Cone (i) About Its Axis Of Symmetry, (ii) About An Axis Passing Through The Vertex And Perpendicular To The Axis Of Symmetry
(i) Moment of inertia of a solid cone about its axis of symmetry: Let us consider a right circular solid cone ABC of mass M and height h, as shown…
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Two Circular Metal Discs Have The Same Mass ‘M’ And The Same Thickness ‘t’. Disc ‘1’ Has A Uniform Density, Which Is Less Than That Of The Disc ‘2’. Which Disc Has The Larger Moment Of Inertia.
Ans. For disc 1, mass and thickness are M and t respectively. Let, be the radius of the circular disc and be the uniform density of the disc. The volume…
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Calculate The Kinetic Energy Of A Thin Rod Of Length ‘l’ And Mass ‘m’ Per Unit Length Rotating About An Axis Through The Middle Point And Perpendicular To Its Length With Angular Velocity ω.
Ans: The length of the thin rod is l and mass density i.e., mass per unit length is m. So the total mass of the rod is .The rod is…