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in Systems of Particles and Rotational Motion by (33.8k points)
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Table below given analogy between translational and rotational motions. Match the following.

Linear motion Relation motion
velocity Angular momentum
mass 1/2 τω2
\(\frac{1}{2}\) mv2 τ = \(\frac{dL}{dt}\)
a = \(\frac{dv}{dt}\) Moment of inertia
F = \(\frac{dp}{dt}\) 1/2 lω2
F = \(\frac{dl}{dt}\)
Torque a =\(\frac{dω}{c^"}\)

1 Answer

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Best answer
Linear motion Relation motion
velocity Angular momentum
mass Momentum of inertia
Force Torque
\(\frac{1}{2}\) mv2  1/2 τω2
a = \(\frac{dv}{dt}\)

  a =\(\frac{dω}{c^"}\)

F = \(\frac{dp}{dt}\)

 τ = \(\frac{dL}{dt}\) 

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