Question #102686

Consider two simple pendulums P and Q of equal length L and masses m1 and m2 respectively. Suppose the bobs of the pendulum are connected to each other by a weightless spring of force constant k such that in the equilibrium position, the spring is unstretched. Calculate the normal mode frequencies, and draw labelled diagrams corresponding to each mode.

Expert's answer

Normal mode frequencies can be calculated by the following two equations:

The diagram corresponding to the first mode:

The diagram corresponding to the second mode:

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