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Question:

Vectors/Math Homework Help?

The cranes shown in the figure are lifting an object that weighs 20,240 poundsFind the tension in the cable of each crane.

Answer:

Evolution as a process works by building new structures/features on top of already existing onesNature does not scrap whole structures and start over from scratchThis is the essence of descent with modificationWhere you see loss of information (i.edegradation), there is actually the ADDITION of new capabilities from already existing proteinsAs you stated, after the mutation, the new protein was able to interact with BOTH circular and linear structures- a new capability- where before it couldn'tYour lock analogy actually works perfectly, even though you were using it as an argument against evolutionWouldn't it be better if you had a lock that could be opened by more than one key, especially if your survival depended on you opening that lock and you didn't have the original key? The loss of specificity is not necessarily a bad thing; it can be an advantage (adaptive) in some circumstancesIn other cases (like specialized niches for some organisms), specificity can easily lead to extinction.
Google a million tiny fibers
Let T1 be the tension in the cable pointed to the left and T2 be the tension in the cable for the rightDo force balance because of Newton's 2nd Law: sum of forces in x direction 0: -T1cos(24.3) + T2cos(44.5) 0 sum of forces in y-direction 0 T1sin(24.3) + T2sin(44.5) - 20,240 0 You have two equations and two unknowns so you can solve: From 1st equation: T1 T2[cos(44.5)/cos(24.3)] Plug this into the 2nd equation: T2sin(24.3)[cos(44.5)/cos(24.3)] + T2sin(44.5) 20,240 So T2 20,240/[tan(24.3)cos(44.5) + sin(44.5)] _ lbsThen you get a number, plug that into T1 T2[cos(44.5)/cos(24.3)] to get T1 in lbsJust make sure your calculator is in degreesHope this helps.

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