Math Problem Statement

If friction accounts for 12% of the load per sheave, find the minimum size of nylon rope that can be used in a watch tackle to lift a weight of 3.5 lonnes.

Solution

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Math Problem Analysis

Mathematical Concepts

Mechanical Advantage
Force Calculation
Percentage of Load Loss due to Friction

Formulas

Total Force = Weight × (1 + Friction Percentage)
Force per Sheave = Load × (1 + Friction Percentage per Sheave)

Theorems

Mechanical Advantage Theorem

Suitable Grade Level

Grades 10-12