Problem 1) We consider the following system when placed in a uniform gravitational field (with acceleration g): An ordinary 2 dimensional pendulum of length { is placed at the edge of a disc of radius a. The disc rotates with constant angular velocity w. Neglect all masses apart from the mass m at the end of the 2D pendulum.
Problem 1) We consider the following system when placed in a uniform gravitational field (with acceleration g): An ordinary 2 dimensional pendulum of length { is placed at the edge of a disc of radius a. The disc rotates with constant angular velocity w. Neglect all masses apart from the mass m at the end of the 2D pendulum.
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Transcribed Image Text:Problem 1) We consider the following system when placed in a uniform gravitational field
(with acceleration g): An ordinary 2 dimensional pendulum of length l is placed at the edge
of a disc of radius a. The disc rotates with constant angular velocity w. Neglect all masses
apart from the mass m at the end of the 2D pendulum.
mass n
a) How many degrees of the freedom does the system have, after taking into account the
presence of constraints?
b) Find the Lagrangian for the system
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