A 50.0-kg person takes a nap in a backyard hammock. Both ropes supporting the hammock are at an angle of 15.0degrees above the horizontal. Find the tention of the ropes.
Physics - drwls, Monday, March 8, 2010 at 5:53pm
Draw a free body diagram. Then perform a static force balance.
Physics - ct, Tuesday, March 9, 2010 at 12:50pm
Physics - ct, Tuesday, March 9, 2010 at 1:06pm
Physics - Henry, Tuesday, July 7, 2015 at 10:42pm
M*g = 50 * 9.8 = 490 N.
Eq1: T1*Cos15 + T2*Cos165 = 0
T1*Cos15 = -T2*Cos165
T1 = T2
Eq2: T1*sin15 + T2*sin165 = -490.
0.259T1 + 0.259T2 = 0 + 490
Replace T1 with T2:
0.259T2 + 0.259T2 = 490
0.518T2 = 490
T2 = 947 N. = T1