Question 594Deck General70% to pass
Two falls are supporting a 1.5 ton load. The port fall is at an angle of 40° from the vertical. The starboard fall is at an angle of 70° from the vertical. What is the stress on each fall?
AI Explanation
The correct answer is A) Port 1.5 tons, starboard 1.0 tons.
The reasoning is as follows:
1. With a 1.5 ton load supported by two falls, each fall should support half the load, or 0.75 tons.
2. The port fall is at a 40-degree angle, so the vertical component of the force on that fall is 0.75 / cos(40°) = 1.5 tons.
3. The starboard fall is at a 70-degree angle, so the vertical component of the force on that fall is 0.75 / cos(70°) = 1.0 tons.
The other options are incorrect because they do not properly account for the effects of the different fall angles on the vertical forces.
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