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H4.

 

A block with a mass of the spring, whose mass is neglected and the spring constant given in the figure, is connected to this block with a massive pendulum. While the massive block vibrates on a horizontal frictionless ground, the pendulum oscillates. a) Write the Lagrangian function of the system using the given coordinates. b) Obtain the Lagrangian equation of motion. c) Rearrange these equations for the small oscillations approximation. X m V=0
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Transcribed Image Text:A block with a mass of the spring, whose mass is neglected and the spring constant given in the figure, is connected to this block with a massive pendulum. While the massive block vibrates on a horizontal frictionless ground, the pendulum oscillates. a) Write the Lagrangian function of the system using the given coordinates. b) Obtain the Lagrangian equation of motion. c) Rearrange these equations for the small oscillations approximation. X m V=0
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