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Transcribed Image Text:3.2
A simple pendulum consists of a particle of mass m on an inextensible massless
string of length l.
The kinetic energy of the system in Cartesian coordinates is given by
T==m (x2 + y²) where x and y may also be expressed in their polar coordinates
format as x = l sin 0, and y = -l cos 0 respectively.
3.2.1 Assuming the origin is located at the point where the string is attached to the
support, show that the Lagrangian of the system is given by:
+ mgł cos e
3.2.2 State the number of degrees of freedom and the number (name them also) of the
generalised coordinates of the system?
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