Three masses of small size are attached by light inextensible strings of various lengths to a point O on the ceiling. All of the masses swing round
in horizontal circles of various radii with the same angular frequency $ω$ (one such circle is drawn in the shown figure.) Then pick up the correct statement.

Question

Infinity Learn · Accepted Answer

For conical pendulum of length λ mass m moving along horizontal circle as shownT $$cos$$ θ $$=$$ $$mg-------------(i)T$$ $$sin$$ θ $$=$$ mω$$2l$$ $$sin$$ θ$$--------(ii)From$$ equation (i) and equation (ii),l $$cos$$ θ $$=$$ gω$$2l$$ $$cos$$ θ is the vertical distance of bob below O point of suspension. Hence if ω of all three pendulums are same, they shall revolve in same horizontal plane.

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