You fashion a sling shot with a rather long and wide rubber band and practice hurling pebbles. You pull back on the center of the band with a force of 2.31 N. The angle between the two halves is 107°. What is the tension in the band?

Question

I get the gist of setting up Newton's 2nd law x and y diagrams, but this one has me stumped. I just need help setting up the equations. Thank you!

Answer 1

A = (180-107)/2 = 36.5o Above the hor.

F = 2.31/2 = 1.16 N., each half.

sin36.5 = F/T = 1.16/T.
T = 1.16/sin36.5 = 1.94 N., each half.