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Finding the lagrangian of a system

A triangular piece of wood is free to slide, without friction, in one dimension along a table, forming a moving inclined plane. A block of wood, placed on this inclined plane only moves as the result of the triangular block moving. There is no friction between the triangular piece of wood and the block. Find the lagrangian for this system. Write down the equations of motion.

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Solution Summary

This solution is provided in 101 words in both an attached .doc and .pdf file. A diagram of the incline system is included to enhance understanding of the angles and coordinates. It uses equations to find the speed of the block and kinetic energy to ultimately find the lagrangian of the system.