A general step by step on how to do this would be helpful. It seems straight for

Question

A general step by step on how to do this would be helpful. It seems straight forward as a magnitude and force problem but I keep getting stuck.

A car with a dead engine is being pulled in a straight line by two ropes. The force acting on the car is given by . Let the force in the two ropes be denoted r1rightarrow and r2rightarrow. If r1rightarrow makes an angle of 20 degree with Frightarrow and r2rightarrow makes an angle of 30 degree with Frightarrow. What is the magnitude of r1rightarrow and r2rightarrow?

Explanation / Answer

r1cos20 + r2cos 30 = 255

r1sin20 = r2sin30

=>

r2 = r1sin20/sin30

=>

r1cos20 +r1cos30sin20/sin30 = 255

=>

r1 = 255sin30/sin50 = 166.4N

=>

r2 = 113.8N

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