Question 594 Deck General

70% 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?

A Port 1.5 tons, starboard 1.0 tons
B Port 1.5 tons, starboard 1.5 tons
C Port 1.7 tons, starboard 1.3 tons
D Port 1.7 tons, starboard 2.0 tons
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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