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. m V=0
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. m V=0
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H4.
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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