The following four problems involve vector addition. Vector manipulation is an important skill for estimating forces in mechanical systems. When adding forces or other quantities represented as vectors, the principles of vector addition must be followed. Vectors to be added are first decomposed into their respectivex, y, and z components. These components are added together separately, then recombined to form the total resultant vector. Sometimes, it’s convenient to decompose vectors into components lying on axes other than rectilinear x-,y-,and z-axes.
An eye bolt is fixed to a roof that is inclined at 45° relative to the x-axis. The eye bolt holds three guy wires inclined at 45°, 150°, and 195°, respectively, measured clockwise from the x-axis. These wires carry forces of 300 N, 400 N, and 225 N, respectively. What is the magnitude and direction of the total resultant force? What are the components of force measured perpendicular and parallel to the roof line?
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.