This is a staticsproblem. Given the information, I need tosolve for C and theta.

Question

This is a staticsproblem. Given the information, I need tosolve for C and theta. Help would be greatly appreciated. P.S. The weight is given in pounds, which is a force. Theanswers are C=240 lb. and theta=40.9 degrees/ I've tried this problem so many different ways and have spentthe past 4 hours on it. I need some help and a freshperspective.

Explanation / Answer

equilibrium equations are 275sin+C*sin30 =300---------------(1) and 275*cos = C*cos30 =>C= 317.54*cos---------------(2) from (1) & (2) 550sin+317.54cos = 600---------------(3) =>550sin+317.54(1-sin2) =600 =>(550sin-600)2=317.542(1-sin2) 5502sin2+6002-2*550sin*600= 317.542-317.542sin2 (5502+317.542)sin2-2*550sin*600+(6002- 317.542) = 0 =>sin = 0.98 or 0.654 sin can not be0.98 as be nearly 90 so sin = 0.654 => = 40.9 from (2) C= 317.54*cos40.9 C =240 lb

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