Angular Momentum & Centre Of Mass – Page 2

Category: Angular Momentum & Centre Of Mass

A Quadrilateral ABCD Has Masses 1,2,3 And 4 Units Located At Its Vertices A(-1,-2,2), B(3,2,-1), C(1,-2,4) And D(3,1,2). Find The Coordinate Of The Centre Of Mass.

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Two Particles Having Masses “m1” And “m2” Move So That Their Relative Velocity is “v” And The Velocity Of Their Centre Of Mass Is “V”. Calculate The Total Potential Energy.

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Show That Centre Of Mass Of Two Particles System Divides The Line Joining The Two Particles In The Inverse Ratio Of Their Masses.

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What Is Angular Impulse Of A System Of Particles?

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What Is Linear Impulse Of A System Of Particles?

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Prove That The Total Momentum Of A System Is Constant i.e., Conserved Then The Centre Of Mass Is Either At Rest Or In Motion With Constant Velocity.

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Prove That The Centre Of Mass Of A System Of Particles Moves As If The Total Mass And The Resultant External Force Were Applied At This Point.

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Prove That The Total External Torque Acting On A System Of Particles Is Equal To The Time Rate Of Angular Momentum Of The System, Provided That The Internal Forces Between The Particles Are Central Forces (i.e., The Internal Forces Between Any Two Particles Are Always Directed Along The Line Joining The Particles).

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Define Total External Torque Acting On A System Of Particles.

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Define Angular Momentum For A System Of Particles.

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Category: Angular Momentum & Centre Of Mass

A Quadrilateral ABCD Has Masses 1,2,3 And 4 Units Located At Its Vertices A(-1,-2,2), B(3,2,-1), C(1,-2,4) And D(3,1,2). Find The Coordinate Of The Centre Of Mass.

Two Particles Having Masses “m1” And “m2” Move So That Their Relative Velocity is “v” And The Velocity Of Their Centre Of Mass Is “V”. Calculate The Total Potential Energy.

Show That Centre Of Mass Of Two Particles System Divides The Line Joining The Two Particles In The Inverse Ratio Of Their Masses.

What Is Angular Impulse Of A System Of Particles?

What Is Linear Impulse Of A System Of Particles?

Prove That The Total Momentum Of A System Is Constant i.e., Conserved Then The Centre Of Mass Is Either At Rest Or In Motion With Constant Velocity.

Prove That The Centre Of Mass Of A System Of Particles Moves As If The Total Mass And The Resultant External Force Were Applied At This Point.

Define Total External Torque Acting On A System Of Particles.

Define Angular Momentum For A System Of Particles.

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