Math Problem Statement

A uniform square sign with sides of length 0.68 m is fixed at its corner points A and B to a wall. The sign is also supported by a wire CD. The tension in the wire is 54 N at an angle of 35° to side BC. Calculate the vertical component of the tension in the wire and explain why the force on the sign at B does not have a moment about point A.

Solution

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Math Problem Analysis

Mathematical Concepts

Forces and Components
Moments and Torque
Trigonometry

Formulas

Vertical Component of Force = T * sin(θ)
Moment = Force * Distance

Theorems

Principle of Moments

Suitable Grade Level

Grades 10-12