Consider a simple plane pendulum consisting of a mass m attached to a string of length I. After the pendulum is set into motion, the length of the string is shortened at a constant rate dl -α = constant dt The suspension point remains fixed. The kinetic energy is given by T = m(a² +1²0²).
Consider a simple plane pendulum consisting of a mass m attached to a string of length I. After the pendulum is set into motion, the length of the string is shortened at a constant rate dl -α = constant dt The suspension point remains fixed. The kinetic energy is given by T = m(a² +1²0²).
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1.Calculate the following;
Potential Energy
Langrangian Function
Hamiltonian function
Transcribed Image Text:Consider a simple plane pendulum consisting of a mass m attached to a string of length I. After
the pendulum is set into motion, the length of the string is shortened at a constant rate
dl
-α = constant
dt
The suspension point remains fixed. The kinetic energy is given by
T = m(a² +1²0²).
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