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An object weighing $258.5$ pounds is held in equilibrium by two ropes that make angles of $27.34^{\circ}$ and $39.22^{\circ}$, respectively, with the vertical. Find...

Question

An object weighing $258.5$ pounds is held in equilibrium by two ropes that make angles of $27.34^{\circ}$ and $39.22^{\circ}$, respectively, with the vertical. Find the magnitude of the force exerted on the object by each rope.

An object weighing $258.5$ pounds is held in equilibrium by two ropes that make angles of $27.34^{\circ}$ and $39.22^{\circ}$, respectively, with the vertical. Find the magnitude of the force exerted on the object by each rope.



Answers

ROPE TENSION A tetherball weighing 1 pound is pulled outward from the pole by a horizontal force $\mathbf{u}$ until the rope makes a $45^{\circ}$ angle with the pole (see figure). Determine the resulting tension in the rope and the magnitude of $\mathbf{u}$.


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