2 hard angular momentum problems

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SUMMARY

This discussion focuses on solving two angular momentum problems: Atwood's Machine and a coin projected with angular velocity. For Atwood's Machine, the acceleration of the masses can be derived using force and torque, leading to the result a=2g/7 through conservation of energy principles. The second problem involves determining the initial linear velocity (V) and angular velocity (w) of a coin to ensure it comes to rest after traveling a distance d, considering kinetic friction. Key equations include L=rxp and t=dL/dt, emphasizing the importance of free-body diagrams in analyzing forces.

PREREQUISITES
  • Understanding of angular momentum and torque concepts
  • Familiarity with Atwood's Machine mechanics
  • Knowledge of frictional forces and their effects on motion
  • Ability to apply conservation of energy principles
NEXT STEPS
  • Study the dynamics of Atwood's Machine in detail
  • Learn about the effects of friction on rotational motion
  • Explore advanced angular momentum problems in classical mechanics
  • Review free-body diagram techniques for complex systems
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Students and educators in physics, particularly those focusing on classical mechanics and angular momentum problems, as well as anyone preparing for advanced physics examinations.

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Homework Statement


the easier one
Atwood's Machine. The masses are M and 2M, and the pulley is a uniform disk of mass M and radius R. the string is massless and does not slip with respect to the pulley. Find the acceleration of the masses. Use force and Torque.
answer should be something like a=2g/7 (using conservation of energy) but i only care about how to get there using force and torque

The harder one
A coin stands vertically on a table. It is projected forward (in the plane if itself) with speed V and angular speed w. The coefficient of kinetic friction between the coin and the table is u. What should V and w be so that the coin comes to a rest(both translationally and rotationally) a distance d from where it started.
the coin in this problem has a backward spin. it is not rolling forward.

I know the general equations here I am really just looking for a prob in the right direction. I really do not know how to approach these questions.

Homework Equations


L=rxp
t=dL/dt
t=rxF
dL/dt=d/dt(rxp)
 
Physics news on Phys.org
As always with force and torque problems, start by identifying the forces acting on the body and drawing a free-body diagram.
 

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