- #1
wetlife
- 4
- 0
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
-
- Tags
- Acceleration Constraint
Click For 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.
Could someone explain how to setup an equation for position so that I can find an acceleration constraint?
- #2
ehild
Science Advisor
Homework Helper
- 15,536
- 1,917
The constraint here is the constant length of the string. What relation does it mean between xa and yb?
ehild
ehild
- #3
wetlife
- 4
- 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
- 15,536
- 1,917
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