Angular Momentum & Centre Of Mass
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Define Angular Momentum Of A Particle And Torque Acting On It.
Angular Momentum: The angular momentum of a particle about a fixed point is defined by the moment of linear momentum of the particle about that fixed point. If be the…
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Show That The Torque Acting On A Particle Is Equal To The Time Rate Of Change Of Its Angular Momentum.
Ans. The angular momentum of a particle is given by, where is the linear momentum of a particle of mass m whose position vector with respect to the origin of…
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State And Prove The Law Of Conservation Of Angular Momentum.
Law of conservation of angular momentum: If the total external torque acting on a particle is zero, then the angular momentum remains conserved. This is known as the law of…
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What Do You Mean By Angular Impulse?
Angular Impulse: The product of torque acting on a particle and the time during which it acts, is called angular impulse. If an external torque acts on a particle during…
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Show That Angular Impulse Is Equal To The Change Of Angular Momentum.
If an external torque acts on a particle during the time from to , then the angular impulse is given by, Again we know that the torque acting on a…
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Define Centre Of Mass.
Centre of mass: Let us consider a system of n particles of masses m1, m2, …. mn with position vectors , , , respectively with respect to the origin O,…
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Derive The Velocity And Acceleration Of Centre Of Mass.
Velocity of centre of mass: For a system of n particles of masses , , , having position vectors , , , respectively with respect to the origin O, the…
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Show That The Sum Of The Products Of Mass And Position Vectors Of All Particles i.e., The Sum Of Moments Of Mass Points About The Centre Of Mass Is Zero.
The total moment of mass about the centre of mass: Let us consider a system of n particles of masses , , having position vectors , , , respectively with…