Meriam, Kraige & Bolton — Statics of Particles: Problem 2_124

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/124 The specialty wrench shown in the figure is designed for access to the hold-down bolt on certain automobile distributors. For the configuration shown where the wrench lies in a vertical plane and a horizontal 200-N force is applied at A perpendicular to the handle, calculate the moment applied to the bolt at . For what value of the distance would the - component of be zero? Problem 2/124 1. Analysis of Geometry and Force First, we define a coordinate system with the origin at point . From the problem description, the entire wrench lies in a vertical plane. Based on the provided axes, this is the - plane (). The wrench has a horizontal offset of along the -axis. A vertical stem rises in the -direction. The handle of length starts at the top of the stem and makes an angle of with the horizontal. In the diagram's perspective, it points back toward the - plane, meaning its -component is negative relative to the stem. Coordinates of point A: Force Vector: The force is horizontal and perpendicular to the handle. Since the handle lies in the - plane, a horizontal line perpendicular to it must be parallel to the -axis. Based on the diagram, the force acts in the positive -direction. M O Odz M O O xzy=0 70 mmx 200 mmz d=125 mm 20 ∘ yz x x = A 70−dcos20= ∘ 70−125cos20 mm ∘ y = A 0 mm z = A 200+dsin20= ∘ 200+125sin20 mm ∘ Fxz y y F=200j N 2. Calculation of Moment ● Calculation Process 1. Present Final Formula: The moment about point is