Consider a pendulum of mass "m" attached to a spring of mass “M" that is free to move in single dimension along a frictionless horizontal surface. Take the gravity g = 10 m/s? and the gravitational potential energy is equal to zero at the level of block (y = 0). X Datum of potential energy: PE = 0 m e', g) Write the Lagrangian equation h) Deduce the equations of motion from Euler-Lagrange equations

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Consider a pendulum of mass “m" attached to a spring of mass “M" that is free to move in
single dimension along a frictionless horizontal surface. Take the gravity g = 10 m/s² and the
gravitational potential energy is equal to zero at the level of block (y = 0).
X
M
Datum of potential energy: PE = 0
e',
g) Write the Lagrangian equation
h) Deduce the equations of motion from Euler-Lagrange equations
Transcribed Image Text:Consider a pendulum of mass “m" attached to a spring of mass “M" that is free to move in single dimension along a frictionless horizontal surface. Take the gravity g = 10 m/s² and the gravitational potential energy is equal to zero at the level of block (y = 0). X M Datum of potential energy: PE = 0 e', g) Write the Lagrangian equation h) Deduce the equations of motion from Euler-Lagrange equations
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