Pendulum collision and elastic collision

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SUMMARY

The discussion focuses on the physics of pendulum collisions, specifically analyzing two pendulums with masses 2m and m that collide and stick together after being released from rest at angle Ø. The key equations involved are the conservation of energy and momentum, represented as Ui + Ki + Win - Wout = Kf + Uf. The final swing angle of the combined masses and the direction of the swing are determined by calculating the velocity and momentum of each pendulum just before the collision, ultimately leading to a symbolic solution for the final height and angle after the collision.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Familiarity with conservation of momentum concepts
  • Basic knowledge of pendulum mechanics
  • Ability to solve symbolic equations in physics
NEXT STEPS
  • Study the conservation of momentum in inelastic collisions
  • Learn about the dynamics of pendulum systems and their energy transformations
  • Explore symbolic solutions in physics problems
  • Investigate the effects of mass ratios on collision outcomes
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Physics students, educators, and anyone interested in understanding pendulum dynamics and collision mechanics.

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1. Homework Statement
2 pendulums collide and stick together after being released from rest at angle Ø (each one is at Ø)
pendulum 1 mass is 2m, pendulum 2 mass is m
What is the final swing angle of the stuck together masses? in what direction is the swing?

repeat for elastic collision

2. Homework Equations
Ui+Ki+Win-Wout=Kf+Uf (conservation of energy)
conservation of momentum


3. The Attempt at a Solution
a very sad one

sorry i couldn't put a picture up, even though it would help a great deal
but any suggestions would help
and if you couldn't tell it has to be solved symbollically
 
Last edited:
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They will collide at angle phi=0 (the lowest point on the pendulum), right? What is the velocity (and hence momentum) of each pendulum just before they collide? If they stick together, then after the collision you have a single object with the same momentum. What's it's velocity? Translate that into to how high it will go, and what the angle is. Try and start answering some of these questions. It will make for a much improved 'attempt at a solution'.
 

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