How do I setup an equation for the acceleration constraint?

AI Thread Summary
To set up an equation for the acceleration constraint involving a constant length string, the relationship can be expressed as L = 2x_a + y_b + C. To differentiate this equation, one must consider the differential quotient of a constant, which is zero. The discussion emphasizes the need to relate velocities and accelerations to the first and second time derivatives of x_a and y_b. Understanding these relationships is crucial for deriving the acceleration constraint. The focus is on establishing a clear connection between position, velocity, and acceleration in the context of the problem.
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Homework Statement


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The Attempt at a Solution


Could someone explain how to setup an equation for position so that I can find an acceleration constraint?
 
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The constraint here is the constant length of the string. What relation does it mean between xa and yb?

ehild
 
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?
 
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
 

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