Question

what are generalized coordinates of a simple pendulum ? why Cartesian coordinates are not suitable here?

Answer 1

Explanation:

When writing the equations of motion for the simple pendulum, why do textbooks always choose θ to be the generalized coordinate? The force of gravity is in the y-direction so wouldn't it be natural to write everything in terms of y instead of θ? Since the string is of fixed length l, we can write x=

√

l2−y2

and so shouldn't we be able to write the Equations of Motion completely in terms of y?

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