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A-uniform-rod-AB-3m-long-and-weght-120N-rests-in-equilibrium-with-end-A-on-a-rough-horizontal-table-and-supported-by-a-force-P-applied-at-its-end-B-at-right-angles-to-the-rod-The-rod-makes-an-angl




Question Number 57839 by pete last updated on 13/Apr/19
A uniform rod AB, 3m long and weght  120N, rests in equilibrium with end A  on a rough horizontal table and supported   by a force P applied at its end B at right  angles to the rod. The rod makes an angle  of 3o° with the table. Find the force P,  and the reaction at the floor.
$$\mathrm{A}\:\mathrm{uniform}\:\mathrm{rod}\:\mathrm{AB},\:\mathrm{3m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{weght} \\ $$$$\mathrm{120N},\:\mathrm{rests}\:\mathrm{in}\:\mathrm{equilibrium}\:\mathrm{with}\:\mathrm{end}\:\mathrm{A} \\ $$$$\mathrm{on}\:\mathrm{a}\:\mathrm{rough}\:\mathrm{horizontal}\:\mathrm{table}\:\mathrm{and}\:\mathrm{supported}\: \\ $$$$\mathrm{by}\:\mathrm{a}\:\mathrm{force}\:\mathrm{P}\:\mathrm{applied}\:\mathrm{at}\:\mathrm{its}\:\mathrm{end}\:\mathrm{B}\:\mathrm{at}\:\mathrm{right} \\ $$$$\mathrm{angles}\:\mathrm{to}\:\mathrm{the}\:\mathrm{rod}.\:\mathrm{The}\:\mathrm{rod}\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle} \\ $$$$\mathrm{of}\:\mathrm{3o}°\:\mathrm{with}\:\mathrm{the}\:\mathrm{table}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{force}\:\mathrm{P}, \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{reaction}\:\mathrm{at}\:\mathrm{the}\:\mathrm{floor}. \\ $$

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