Please solve the develope part THE PROBLEM Suppose two roofers (people who build

Question

Please solve the develope part

THE PROBLEM Suppose two roofers (people who build and repair roofs) have the dangerous habit of tying their safety rope to each other instead of tying it to an unmovable anchor point. Suppose the roof is wet metal and essentially frictionless. The rope has negligible mass. The left-hand slope has angle [math]-57 degrees and the right-hand slope has angle [math)-16 degrees. How must the roofers' masses compare so that they do not begin sliding? PAPER SOLUTION INTERPRET Identify all of the true statements. A. Parallel and perpendicular to the roof are the best directions for Newton's 2nd law. B. We should draw only one free body diagram. C. Newton's 3rd law says the roofers will never begin moving for any masses. D. Horizontal and vertical are the best directions for Newton's 2nd law. E. We should draw two free body diagrams. F.The tension fet by one roofer and the tension felt by the other roofer make a force pair for Newton's 3rd law. G. None of the above. DEVELOP Derive an algebraic expression for the ratio of roofer masses. (Type [math] to represent [math).) (Type [math] to represent [math].) [math]

Explanation / Answer

let mass me m1 (left) and m2(right)

Now
forces on left guy = m1gsin(37)

At the tip this forces converts to = m1gsin(37)*cos(37)

Similarly for the right guy :
forces on right guy = m2gsin(16)

At the tip this forces converts to = m1gsin(16)*cos(16)

Now the tension in the string would be balanced
Hence,
m1gsin(16)*cos(16) = m1gsin(37)*cos(37)
m1/m2 = (sin(37)*cos(37))/(sin(16)*cos(16))

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