Pendulums colliding - collision

  • Thread starter Thread starter superdave
  • Start date Start date
  • Tags Tags
    Collision
Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving two pendulums, where an upper ball collides with a stationary lower ball after being released from a height. The goal is to determine the maximum angular displacement after the collision, considering the masses and lengths of the strings involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using conservation of energy and momentum to analyze the collision and subsequent motion. There are attempts to convert potential energy to kinetic energy and questions about applying trigonometry to find angles and sides related to the pendulum's motion.

Discussion Status

The discussion includes various approaches to the problem, with some participants providing hints and guidance on using conservation laws. There is an acknowledgment of the complexity of the trigonometric aspects involved, and one participant indicates they have resolved their question.

Contextual Notes

Participants note the lack of specific values for certain variables, such as angular displacement, and the need for additional geometric relationships to fully solve the problem.

superdave
Messages
149
Reaction score
3
In the figure View Figure the upper ball is released from rest, collides with and the stationary lower ball, and sticks to it. The strings are both 50.0 cm long. The upper ball has mass is 2.00 kg and it is initially 10.0 cm higher than the lower ball, which has mass 3.00 kg.

yf_Figure_13_36.jpg


Find the maximum angular displacement of the motion after the collision.

I've found omega, if that helps.
 
Physics news on Phys.org
since we don't know what omega is, it doesn't.

Convert the potential energy the ball being held up starts with into the kinetic energy it will have when it strikes the bottom ball. Then use conservation of momentum for an inelastic collision, and convert the new kinetic energy to the maximum potential energy the system can achieve. From there, use trig
 
superdave said:
In the figure View Figure the upper ball is released from rest, collides with and the stationary lower ball, and sticks to it. The strings are both 50.0 cm long. The upper ball has mass is 2.00 kg and it is initially 10.0 cm higher than the lower ball, which has mass 3.00 kg.

yf_Figure_13_36.jpg


Find the maximum angular displacement of the motion after the collision.

I've found omega, if that helps.

Use conservation of energy to find the speed of the first mass just before it hits the second one. Then use momentum conservation to find the speed of the two masses combined just after the collision (when they are still at the lowest point). Finally, use conservation of energy again to find how high they will swing up. Once you have that, simple geometry will give you the angle they reach.
 
can you give me a hint with the trig? Because I can only find one side, and the right angle. I need at least one more angle or side.
 
nevermind, I got it. Thanks for the help.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
7K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 9 ·
Replies
9
Views
2K