🔍 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