Using Energy and momentum conservation to derive the equation

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Homework Help Overview

The discussion revolves around deriving an equation to find the initial velocity of a ball based on the angle through which a pendulum bob swings. The context involves concepts of energy and momentum conservation, as well as kinematics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about how to start the derivation and question the completeness of the problem statement. There are suggestions to create a free body diagram and to clarify the variables involved in the equation.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem statement and emphasizing the importance of visual aids like diagrams. There is no consensus yet, as multiple interpretations of the problem are being explored.

Contextual Notes

Participants note the need for more information regarding the initial conditions of the pendulum and the specific definitions of the variables mentioned in the equation.

Jenna
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Homework Statement


I need to find the intial velocity of a ball, given the angle the pendulum bob swings through.
I need to derive this equation.
[/B]
V0=4.43mtotalL1/2{1-cosΔθ}1/2/mball

Homework Equations

The Attempt at a Solution


I have barely any attempts since I can't even think where to start. How am I supposed to derive this using kinematics??
 
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Jenna said:
I need to find the intial velocity of a ball, given the angle the pendulum bob swings through.
That cannot be the whole question. Please state it exactly.
Jenna said:
barely any attempts
Nevertheless, you need to post what you have, and any thoughts.
A free body diagram, perhaps?
Jenna said:
Relevant equations
What standard equations do you think might be relevant?
 
A diagram is essential. Your statement of the problem is not complete. What is 4.43mTotalL, etc.? In what position does the pendulum start?
 
Try and draw a free body diagram and I'm sure there will be some kind of equation in your textbook or where you are learning this from.
 

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