Rigid Body Dynamics

  • Derive An Expression For The Angular Momentum Of A Rigid Body.

    Angular momentum: Let us consider a rigid body rotates with angular velocity about a fixed point O which is taken as origin . OX, OY and OZ are the three…

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  • Derive An Expression For The Moment Of Inertia Tensor Of A Rigid Body.

    Moment of inertia tensor: Let us consider a rigid body rotates with angular velocity about a fixed point O which is taken as origin . OX, OY and OZ are…

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  • Define Moment Of Inertia And Product Of Inertia For A Rigid Body.

    Moment of inertia & Product of inertia: The angular momentum of of a rigid body in vector notation can be represented as where, is the moment of inertia tensor. The…

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  • Define Principal Axes Of Inertia And Principal Moment Of Inertia.

    Let us consider a frame of reference with three mutually perpendicular axes meeting at the origin O. This is fixed in a rotating body so it rotates with the body…

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  • Derive An Expression For The Kinetic Energy Of Rigid Body In Terms Of Angular Velocity And Principal Moment Of Inertia.

    Let us consider three mutually perpendicular axes, OX, OY, and OZ meeting at the origin O. A body is rotating with angular velocity about the fixed point O. So we…

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  • Derive An Expression For The Moment Of Inertia Of A Rigid Body About Any Axis Through A Point, The Point Through Which Three Mutually Perpendicular Axes Pass.

    Moment of inertia about an arbitrary axis: Let us consider, three mutually perpendicular axes OX, OY and OZ meeting at the origin O. Now we want to calculate the moment…

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