Two dogs pull horizontally on ropes attached to a post. The angle between the ropes is 51.0°. If dog A exerts a force of 310 N and dog B exerts a force of 230 N, find the magnitude of the resultant force and the angle it makes with dog A's rope.
____N
____°.
okay I know to find the angle i take the arctan of (Fy/Fx) but heres the problem for the magnitude I am having trouble figuring it out, I know to find magnitude I would take the square of the x values and the y values and square root it to find the magnittude but in finding these x and y values. do I take the giving forces and dived by cos(51) for x and sin(51) for y? I tried this and I tried multiplying yet I still could not get the proper answer. and of course the book does not properly explain this problem only problems that relate.
2007-09-19 17:15:01 · 2 answers · asked by Walachka 3 in Science & Mathematics ➔ Physics
assume 1st rope is on the x axis F={310 , 0}
2nd is at 51 degrees F={230cos(51), 230sin(51)}
add and get resultant force vector
2007-09-19 18:39:00 · answer #1 · answered by meg 7 · 0⤊ 0⤋
Assume one of the ropes is along the positive X axis for simplicity. Take the sum of the component forces and create an new vector force diagram (aka triangle). Use this to find the angle and resultant force.
Let me know if this is what you are looking for.
Regards.
2007-09-21 02:15:02 · answer #2 · answered by Brad M 1 · 0⤊ 0⤋