Posted by mike on Tuesday, March 22, 2011 at 3:11pm.
A 54.0 kg person takes a nap in a (lightweight) backyard hammock. Both ropes supporting the hammock are at an angle of 16.9° above the horizontal. Find the tension in the ropes.
physics - lily, Saturday, December 1, 2012 at 10:02pm
physics - Daniel, Tuesday, August 19, 2014 at 8:17pm
T on each cord is to be 276.54N
physics - nigel, Tuesday, May 5, 2015 at 8:30pm
both above wrong...stupid!!!!
physics - Henry, Tuesday, July 7, 2015 at 11:11pm
M*g = 54 * 9.8 = 529.2 N. = Wt. of the person.
Eq1: T1*Cos16.9 = -T2*Cos(180-16.9).
0.957T1 = 0.957T2.
T1 = T2.
Eq2: T1*sin16.9 + T2*sin(180-16.9) = -529.2[270o].
0.291T1 + 0.291T2 = 529.2.
Replace T1 with T2:
0.291T2 + 0.291T2 = 529.2
0.581T2 = 529.2
T2 = 910 N. = T1.
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