What would be the amount of strain on each...

Question 1 of 2707066636ee728f7522a1c5182e1

What would be the amount of strain on each runner of a married fall system lifting 2000 lbs. when the angle made by the legs is 90°?

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Question 1 of 27070

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What would be the amount of strain on each runner of a married fall system lifting 2000 lbs. when the angle made by the legs is 90°?

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🔍 Key Concepts

• Married fall system and how the load is shared between two runners (legs) • Vector components of force when two legs form an angle (trigonometry with 90° between legs) • Relationship between leg tension, included angle, and the vertical load

💭 Think About

• First, think about how much total vertical force the two runners together must support to hold a 2000 lb. load without moving. • Then consider how to relate the tension in each leg to that vertical load when the legs are not vertical but form a 90° included angle. • Ask yourself: do the forces in each leg form the sides of a right triangle, and which trigonometric function (sine, cosine, etc.) connects the leg tension to the vertical component?

✅ Before You Answer

• Be sure you are using the included angle between the two legs (90°), not the angle from vertical for each leg. • Confirm that the sum of the vertical components of the tension in both runners equals 2000 lbs. • After calculating, check whether your answer is greater than or less than 1000 lbs., and ask if that makes physical sense for a 90° angle between the legs.