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In contrary to the principle with relative motion where two or more particles are moving independently, dependent motion has one particle's movement depending on the other. This motion commonly occur between interconnected particles with cords and pulley systems.
There are various pulley systems that can be considered in this case.
- A single rope system where one cord goes around pulleys and the particles under study.
- Two and more rope systems where there can be 2 or more ropes involved in the system.
No matter which system is involved, the analysis would be easier by using CSLM (constant string length method). Analysis on the velocity and acceleration of the particles would have to start with the position or the length. Later on, after identifying which equation to use, time derivatives are used to transform the length equation to either velocity or acceleration equation.
Click here for PDF Notes on Dependent Motion
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