6. A 200 Newton block is suspended by 3 cables, as inthe figuure below. Find the

Question

6. A 200 Newton block is suspended by 3 cables, as inthe figuure below. Find the tensionin        cables 1,   2, and 3. You must use theconditions for static equilibrium to solve this problem. 6. A 200 Newton block is suspended by 3 cables, as inthe figuure below. Find the tensionin cables 1, 2, and 3. You must use theconditions for static equilibrium to solve this problem.

Explanation / Answer

x = left hand tension y = right hand tension Vertically: 200 = x sin70 + y sin50 (equation 1) Horizontally: xcos70 - y cos50 = 0 x = y cos50/cos70 (equation 2) => substitute for xinto equation 1: 200 = (y cos50/cos70) * sin70 + y sin50 200 = 1.7660y + 0.7660y => Solve for y & then substitute this value into equation2.

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