1. A system of ropes is holding the Joe\'s Diner sign (200 N) in place. One runs

Question

1. A system of ropes is holding the Joe's Diner sign (200 N) in place. One runs straight up from the sign to a knot; from the knot, one runs due north to a tree while the other, running to his roof edge, makes an angle of 30o with the vertical. List, in a neat table, all the forces on (and only those on) the knot. (This requires giving suitable identification, not value, elements.)

2. In problem 1, find the tension in the northward rope; assume masses are negligible for all the ropes. Indicate your reasoning.

Explanation / Answer

Tvertical= Tangle cos30   = 200 /2 =100 N

Tangle = 115.47 N

Tnorthward = Tangle sin30 = 57.74 N

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