# Coupled Pendulum Oscillations

Coupled Pendulum Oscillations

Two pendulums, connected by a massless spring, are allowed to vibrate in the same vertical plane. For the limiting case of small oscillations, the equations of motion for the system are given by

m

1

l

1

..

θ

1

m

1

θ

1

l

1

θ

1

l

2

θ

2

m

2

l

2

..

θ

2

m

2

θ

2

l

2

θ

2

l

1

θ

1

where is the acceleration of gravity. You set the masses, lengths and initial displacements. The resulting graph shows the angle between the two pendulums as a function of time.

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