An object weighting 300 N is suspended by means of two cords. (There is a cord on the ceiling with is at 45 degrees. The second cord is attached to the wall and is horizontal. These two cords are attached to a cord which has the 300N object on it.) The tension in the horizontal cord is

a)0 N
b)150 N
c)210 N
d)300 N
e)400 N

would I use 300sin 90 which equals 300N?

No. If T is the horizontal cord tension, and T' is the vertical cord tension
T' sin 45 = 300 N
T' cos 45 = T
Solve for T, eliminating T'. Remember that sin 45 = cos 45

1 answer

T = 300 N / sqrt(2) = 210 N