If two falls are attached to lift a one-ton...

Question 1 of 2707066636ee728f7522a1c518d4f

If two falls are attached to lift a one-ton load, what angle between the falls will result in the stress on each fall being equal to the load being lifted?

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Question 1 of 27070

Q

If two falls are attached to lift a one-ton load, what angle between the falls will result in the stress on each fall being equal to the load being lifted?

🔍 Key Concepts

• Vector components of tension in each fall supporting a central load • Relationship between the vertical components of the two tensions and the total weight • Effect of increasing the angle between the falls on the tension in each fall

💭 Think About

• How do the vertical components of the tensions in the two falls add up to balance the one-ton load? • If each fall is to carry a stress equal to the full load, what must be true about the vertical component of each tension? • As the angle between the falls increases, does the tension in each fall increase or decrease for the same load?

✅ Before You Answer

• Write an equation for vertical force balance: sum of upward components = total weight • Express the vertical component of each tension using cos(half the angle between the falls) • Verify which angle makes the calculated tension equal to 1 ton in each fall