Rigid Body Dynamics
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What Is A Rigid Body?
Rigid body: A rigid body is a system of particles (an assembly of a large number of particles), in which the distance of the inter-particle remains unchanged when it is…
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Derive An Expression For The Kinetic Energy Of A Rotating Body.
Kinetic energy of rotating body: Let us consider a rigid body of mass M is rotating about a fixed axis with an uniform angular velocity . Let us consider, the…
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Define The “Moment of Inertia”.
Moment of inertia: Let us consider, a rigid body is rotating about an fixed axis with a uniform angular velocity . This rigid body consists of a large number of…
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Define ‘Radius Of Gyration’.
Radius of gyration: Let us consider that a rigid body consists of n number of particles, each of the same mass m. So the total mass of the rigid body…
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What Is The Physical Significance Of Moment Of Inertia?
Physical significance of moment of inertia: According to Newton’s 1st law of motion, the stationary object is fixed forever and the moving object continues to move along a straight line…
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Derive A Relation Between Angular Momentum And Moment Of Inertia.
Relation between angular momentum and moment inertia: Let us consider that a rigid body consists of a large number of particles of masses , , , etc., rotating about a…
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Derive A Relation Between Torque And Moment Of Inertia.
Relation between torque and moment of inertia: Let us consider that a rigid body consists of a large number of particles of masses , , , etc., rotating about a…
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State And Prove The Theorem Of Parallel Axes.
Parallel Axes Theorem: Parallel axis theorem states that the moment of inertia of a body about any axis is equal to the sum of its moment of inertia about a…