Constrained Motion (JEE)

One end AA of rod ABAB (length 4 m4 \ \text{m}) is pivoted to the ground, while the other end BB is pivoted to the rod BCBC (also length 4 m4 \ \text{m}). The end CC of rod BCBC is such that it can only slide on the ground in a straight line. It cannot be lifted.

If the rod ABAB rotates about AA with ω=1 rad/s\omega=1 \ \text{rad/s} as shown, then find the speed, in m/s, of the end CC when ABC=60o\angle ABC=60^{o}.

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