The truck is to be towed using two ropes 3


The truck is to be towed using two ropes. Determine the magnitudes of forces F_A and F_B acting on each rope in order to develop a resultant force of 950 N directed along the positive x axis. Set \theta=50^0.

The truck is to be towed using two ropes

Solution:

Let us first draw the vector components as follows.

The truck is to be towed using two ropes

Note the resultant force is directed along the x axis as stated in the question.

Now, let us draw the vectors tail to tail as follows.

The truck is to be towed using two ropes

 

Now, we can use the law of sines to figure out F_A and F_B. (Forgot the law of sines?)

\frac{F_A}{\sin50^0}=\frac{950}{\sin110^0}

F_A=774N

\frac{F_B}{\sin20^0}=\frac{950}{\sin110^0}

F_B=346N

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, question 2-11.

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