How Do You Solve the Motion of Two Colliding Pendulums?

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SUMMARY

The discussion focuses on solving the motion of two colliding pendulums in a physics homework scenario. Pendulum A has a mass of 2kg and a period of 2.0 seconds, while the length L of each pendulum can be calculated using the formula T = 2π√(L/g). The maximum speed of Pendulum A after being released from a height of 0.6m can be determined using kinetic and potential energy principles. Additionally, the mass of Pendulum B can be found using the conservation of momentum, given that it moves backward with half of its original speed after colliding with Pendulum A.

PREREQUISITES
  • Understanding of pendulum motion and period equations
  • Knowledge of kinetic and potential energy concepts
  • Familiarity with conservation of momentum principles
  • Basic algebra for solving equations
NEXT STEPS
  • Learn how to derive the period of a pendulum using T = 2π√(L/g)
  • Study the relationship between kinetic energy (KE) and potential energy (PE) in pendulum systems
  • Explore conservation of momentum in elastic and inelastic collisions
  • Investigate the effects of friction on pendulum motion and energy conservation
USEFUL FOR

Students studying AP Physics, particularly those focusing on mechanics and pendulum dynamics, as well as educators looking for examples of collision problems in physics.

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AP Physics HW Help -- Motion of 2 Pendulums

Homework Statement



A system consists of two metal balls hanging by strings of length L fixed at a common point as shown. Pendulum A has a mass of 2kg and Pendulum B has a period of 2.0s.

a. What is the length L of each pendulum?
b. What is the maximum speed Pendulum A reaches after being released from a height of 0.6m above its equilibrium position (neglect friction)
c. Pendulums A and B are released at the same time from the same height, colliding right in the middle of their arcs. If Pendulum A comes to a complete stop after the collision while Pendulum B moves backward with half of its original speed, what is the mass of Pendulum B>

Homework Equations



Period equations
Kinetic Energy Maybe?
Conservation of momentum

The Attempt at a Solution



For a. I used to formula Tp=2Pi(sqrrt of L/g)
For b. I have no clue maybe use something with KE and PE
For c. Conservation of momentum formula I am thinking?HERE IS THE DIAGRAM:

http://imgur.com/GK1ZvFf
 
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