Six identical 2-meter massless rods are supporting identical 12-Newton weights.

Question

Six identical 2-meter massless rods are supporting identical 12-Newton weights. In each case, a vertical rope (thick, black line in the drawing below) is holding the rods and the weights at rest. The left end of each rod is held in place by a frictionless pin. The rods are marked at half-meter intervals. Rank the magnitude of the tension in the vertical ropes, from GREATEST to LEAST. A. E=F > C > D=A > B B. B=D > A=E > C > F C. F > C > A=E > B=D D. E > D=F > A=B=C E. A=B=C=D=E=F

Explanation / Answer

4fa = 2w

fa = w/2

4fb = w

fb = w/4

4fc = 3w

fc = 3/4w

fd = w/2

fe = 2w

ff = 2w

so E=F>C>A=D>B Option (a)

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