A single block hoisting assembly has a lead line pull of 1,500 pounds. If the lines are perpendicular to each other and friction is ignored, what is the load on the block?

• A. 1,500 lbs
• B. 1,800 lbs
• C. 2,121 lbs
• D. 2,000 lbs

Answer: (C)

In the case of a single block hoisting assembly where the lines are perpendicular to each other and friction is ignored, the load on the block can be determined using the Pythagorean theorem. This is because the two lines create a right triangle, where the lead line pulls create two sides of the triangle.

The lead line pull is specified as 1,500 pounds. When these two lines are perpendicular, to find the resultant load on the block, these forces can be calculated as the hypotenuse of the right triangle formed by the two 1,500-pound pulls. According to the Pythagorean theorem, the load can be calculated using the formula:

Load (hypotenuse) = √(Lead Line 1² + Lead Line 2²)

Since both lines have a pull of 1,500 pounds:

Load = √(1500² + 1500²)

Load = √(2,250,000 + 2,250,000)

Load = √(4,500,000)

Load = 2,121 pounds

This calculation yields a resultant load on the block of approximately 2,121 pounds, making this the correct answer. The math shows how the two forces combine to create a