A sling is rigged on a piece of pipe...

Question 1 of 2707066636ee728f7522a1c51897a

A sling is rigged on a piece of pipe weighing 1000 lbs. The angle between the sling legs is 140° and the legs are of equal length. What stress is exerted on each sling leg when the pipe is lifted?

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Question 1 of 27070

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A sling is rigged on a piece of pipe weighing 1000 lbs. The angle between the sling legs is 140° and the legs are of equal length. What stress is exerted on each sling leg when the pipe is lifted?

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🔍 Key Concepts

• How load is shared between two sling legs of equal length • Relationship between the included angle between legs and the tension in each leg • Using trigonometry (cosine of half the angle) to find the force in each leg

💭 Think About

• If the total weight is 1000 lbs and both legs are identical, what vertical component must each leg carry? • The angle between the legs is 140°. What is half of that angle, and how does that relate to the angle each leg makes with the vertical? • How can you use the cosine of that angle to relate leg tension to its vertical component (which supports the weight)?

✅ Before You Answer

• Confirm that the sum of the vertical components of both sling legs equals 1000 lbs. • Use the correct angle in your cosine function: it should be the angle between each leg and the vertical, not the full 140°. • After calculating the tension in one leg, check that your answer is greater than 500 lbs (because each leg must carry more than half the weight due to the angle).