Deduce the relation between torque and angular momentum
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Torque is a rotational analouge of force.It plays the same role in rotational dynamics as force playes in linear motion.Torque is defined as the moment of force or turning effect of force about the given axis or point.It is measured as the cross product of position and force vector while as angular momentum.
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Answer:
We know :
τ = F × d x .
Kinematics and dynamics are have common analogy .
As in Kinematics there is Force there here in dynamics there is torque .
Linear momentum here angular momentum.
We know :
F = d P / d t
Here :
τ = d L / d t
Where L is angular momentum and t is time .
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