A 3.00-{\ m m}-long, 210-{\ m N}, uniform rod at the zoo is held in a horizontal

Question

A 3.00-{ m m}-long, 210-{ m N}, uniform rod at the zoo is held in a horizontal position by two ropes at its ends (the figure (Figure 1) ). The left rope makes an angle of 150 ^circ with the rod and the right rope makes an angle heta with the horizontal. A 86-{ m N} howler monkey (Alouatta seniculus) hangs motionless 0.50 { m m} from the right end of the rod as he carefully studies you a)Calculate the tension in the left rope. b)Calculate the tension in the right rope. c)Calculate the angle heta.

Explanation / Answer

Let

L = length of the rod = 3 m
W = weight of the rod = 210 N
w = weight of the monkey = 86 N
d? = distance of the monkey to the right end of the rod = 2.5 m
d? = distance of the monkey to the right end of the rod = 0.5 m
? = angle of the left rope = 150

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