Constrained Motion (JEE)

One end \(A\) of rod \(AB\) (length \(4 \ \text{m}\)) is pivoted to the ground, while the other end \(B\) is pivoted to the rod \(BC\) (also length \(4 \ \text{m}\)). The end \(C\) of rod \(BC\) is such that it can only slide on the ground in a straight line. It cannot be lifted.

If the rod \(AB\) rotates about \(A\) with \(\omega=1 \ \text{rad/s}\) as shown, then find the speed, in m/s, of the end \(C\) when \(\angle ABC=60^{o}\).

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