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, as shown in Fig. 3.1. The sign has weight W and centre of gravity at point E. The sign is held in a vertical plane with side BC horizontal. The wire is at an angle of 35° to side BC. The tension in the wire is 54 N. The force exerted on the sign at B is only in the vertical direction.
(i) Calculate the vertical component of the tension in the wire.
(ii) Explain why the force on the sign at B does not have a moment about point A.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statics
Forces
Trigonometry
Formulas
Tension vertical component = T * sin(θ)
Theorems
Moment of Force
Equilibrium Conditions
Suitable Grade Level
Grades 11-12
Related Recommendation
Calculate Vertical Component of Tension in a Wire Supporting a Square Sign
Solving for Tension and Moments in a Suspended Sign Problem
Calculating Force on a Beam Supporting a Sign Using Trigonometry
Solve for Tension in a Cable Using Force Equilibrium and Trigonometry
Finding Tensions in Ropes Supporting a 125 N Sign Using Equilibrium and Trigonometry