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Consider a pendulum which can swing in x and y direction. The attachment of the pendulum...

Consider a pendulum which can swing in x and y direction. The attachment of the pendulum is movable.  State the degrees of freedom and the symmetries with it's corresponding conserved quantities for these three cases.

a) the attachment is movable in the whole xy-plane.

b) the attachment can be moved on a rail (<=> x-axis).

c) the attachment can be moved along a circular rail.

Science   Advanced-Physics   
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