(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In this example, I know that I can define the horizontal contribution of kinetic energy to the ball as ##\frac{1}{2}m(\dot{x} + \dot{X})^2##.

In the following example,

Mass ##M_{x1}##'s horizontal contribution to KE is defined as ##\frac{1}{2}m(\dot{X} - \dot{x_1})^2##. Why is this? I have a hunch that it is due to the "origin" (##X## line) ##x_1## and ##x_2## originate from, though I can't exactly put my finger on the exact reason.

Assistance is greatly appreciated!

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Generalized Velocity: Lagrangian

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