Two Person Hammock

By admin, on January 27th, 2009

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Two Person Hammock

Two Person Hammock

Physics problem?

A person who weighs 612 N. If the person sits in the midst of a hammock that is 3.0 m long and 1.0 m sinks below the point support, what force could be exerted by each of the two ropes of the hammock?

Draw ETA to understand it better. So we have a force 612 N directly in the center. Assuming he does not fall through the net, which means that everything is in balance. fnet = 0 Here, only care about what's happening in the y direction The string tension to balance the needs of the weight here. Then do this .... Fnety = 0 2Tcosθ - Fw = 0 = 612N But no 2Tcosθ angle is given here ?!?!? Have no fear, can be calculated using the given length. We will have 2 triangles symmetrical here, where the opposite side of angle is the total length / 2 and the adjacent side is the vertical sinking 1m tanθ = 1.5 / 1 and θ = 56.31 Now the plug can resolve the tension in the strings. 2Tcos56.31 = 612N T = 551.65N

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