- #1
wetlife
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Homework Statement
The Attempt at a Solution
Could someone explain how to setup an equation for position so that I can find an acceleration constraint?
How do I setup an equation for the acceleration constraint?
- Thread starter wetlife
- Start date
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- Tags
- Acceleration Constraint
Click For Summary
Homework Help Overview
The discussion revolves around setting up an equation related to an acceleration constraint involving a string's constant length in a physics context. The participants are exploring how to relate position variables to derive acceleration constraints.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the relationship between position variables xa and yb in the context of a string's length constraint. There is an attempt to express this relationship in a differentiable form to find acceleration constraints.
Discussion Status
Some guidance has been offered regarding differentiation of the equation relating the string length to the position variables. Participants are actively questioning how to relate velocities and accelerations to the derivatives of xa and yb.
Contextual Notes
There is a focus on the implications of the constant length of the string, which may impose specific relationships between the variables involved. The discussion hints at potential challenges in differentiating the established equation.
Could someone explain how to setup an equation for position so that I can find an acceleration constraint?
- #2
ehild
Science Advisor
Homework Helper
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The constraint here is the constant length of the string. What relation does it mean between xa and yb?
ehild
ehild
- #3
wetlife
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- 0
I see that
L = 2x_a + y_b + C
The problem comes when I try to put that in terms of something I can differentiate. How would you do it?
L = 2x_a + y_b + C
The problem comes when I try to put that in terms of something I can differentiate. How would you do it?
- #4
ehild
Science Advisor
Homework Helper
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You can differentiate both sides of this equation. What is the differential quotient of a constant? and what is the relation of the velocities and accelerations to the first and second time derivatives of xa and yb respectively?
ehild
ehild