Conservation of Angular Momentum in a Sling Experiment

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SUMMARY

The discussion centers on the conservation of angular momentum in a sling experiment where a girl spins a rock. The key conclusion is that when a force with both tangential and normal components is exerted on the rock, its angular momentum increases, confirming option #4 as the correct answer. The principles of angular momentum conservation dictate that unless an external torque is applied, angular momentum remains constant. The increase in speed while maintaining string length indicates a direct relationship between force application and angular momentum change.

PREREQUISITES
  • Understanding of angular momentum and its conservation laws
  • Familiarity with forces acting in tangential and normal directions
  • Basic knowledge of circular motion dynamics
  • Concept of torque and its effects on rotational motion
NEXT STEPS
  • Study the principles of angular momentum conservation in detail
  • Explore the effects of torque on rotational motion
  • Learn about the relationship between force, speed, and angular momentum
  • Investigate real-world applications of angular momentum in sports and engineering
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of rotational motion and angular momentum.

ltl94
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Homework Statement
A girl places a rock in a sling and begins spinning it in a circular path above her head. By exerting a force on the sling, she increases the rock's speed while it goes around her head a few times, before releasing the rock. Options:
1. She exerts a force on the rock that is both parallel to and normal to its velocity. The angular momentum of the rock is constant.
2. She exerts a force on the rock that is parallel to its velocity. The angular momentum of the rock increases.
3. She exerts a force on the rock that is normal to the direction of its velocity. The angular momentum of the rock is constant.
4. She exerts a force on the rock that has components both tangential and normal to the rock's velocity. The angular momentum of the rock increases.

The attempt at a solution
Angular momentum in an orbit is conserved, unless an external torque is applied. And it seems most forces in physics occur in tangential and normal vectors, so the only part I'm not sure of is if the force exerted increases the angular momentum, which I believe it does. So my choice is #4 but I don't want to be thinking it through incorrectly.
 
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ltl94 said:
The only part I'm not sure of is if the force exerted increases the angular momentum,
You are told the speed increases. Does the string length change? What does that tell you about angular momentum?
 

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