When conservation does not apply

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SUMMARY

This discussion focuses on the principles of conservation of angular momentum and the effects of net torque on these principles. It establishes that when a net torque is applied to a system, the conservation of angular momentum does not hold, as external forces influence the final angular momentum. The equation for angular momentum under external torque is defined as Initial L + delta L = Final L, where delta L represents the change in angular momentum over the time the torque is applied. The analogy of pedaling a bicycle illustrates how torque increases angular momentum, emphasizing the importance of understanding these concepts in dynamics.

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  • Understanding of angular momentum and its conservation laws
  • Familiarity with the concept of torque and its effects on rotational motion
  • Basic knowledge of mechanics and dynamics principles
  • Ability to apply equations of motion in rotational systems
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Students of physics, mechanical engineers, and anyone interested in the principles of dynamics and rotational motion will benefit from this discussion.

pakmingki
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im just talking in general about conservation of linear momentum, angular momentum, mechanical energy, etc.

So, for angular momentum, if angular momentum is constant, then initial angular momentum = final angular momentum.

But, what if there is a net torque? How do you take that into account when calculating the final angular momentum?
 
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It's quite analogous to linear momentum and linear force. When a torque is applied over a certain amount of time, it adds angular momentum. For example, imagine pedaling a bicycle. The motion of the wheels remains mostly constant, then once you start pedaling it speeds up, increasing angular momentum.

In general, torque can be thought of as a rate of change in angular momentum.
 
Conservation laws only work for isolated systems. If there is an external force or torque for example, conservation of momentum does not apply.

For the case where there is an external torque, then;

Initial L + delta L = Final (L)

To find delta L (change in angular momentum) you need to know the time over which the torque was applied.

Claude.
 

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