Question

Two boys are pulling a girl along on a tobaggan. Each boy pulls on a rope attached to the same point on the front of the tobaggan with a force of 360 N. Using a scale diagram, determine the resultant of the two forces exerted by the boys if their ropes form each of these angles with each other:

a) 0 degrees

b) 60 degrees

c) 120 degrees

d) 180 degrees

Please show work

Answer 1

a. Fr = F1 + F2 = 360 + 360 = 720 N.

b. Fr = 360[0o] + 360[60o].
Fr = 360 + (180+312i) = 540 + 312i = 624N.[30o].

c. Fr = 360[0o] + 360[120o].
Fr = 360 + (-180+312i) = 180 + 312i = 360N.[60o].

d. Fr = 360[0o] + 360[180o].
Fr = 360 + (-360+0l) = 0.