Final answer:
To find the magnitude of the projected component, the angle between the force and the axis BC is required. Without this angle or other specific details, we cannot provide a numerical answer. The formula for the magnitude is Fproj = F * cos(θ), where θ is the missing angle.
Step-by-step explanation:
To determine the magnitude of the projected component of the force f = 140 lb along the axis BC of the pipe, we need to use vector projection formulas. Unfortunately, the question does not provide sufficient information such as the angle or the dimensions of the pipe necessary to compute this. However, I can explain the process. If the angle between the force vector and the axis BC were provided, we could calculate the projection using trigonometry. The formula for the magnitude of the projected component (Fproj) is:
Fproj = F * cos(θ),
where F is the magnitude of the original force and θ is the angle between the force vector and the axis along which the projection is required.
Without specific details such as the angle or the relative positions of the points involved, it's not possible to provide a numerical answer. Once you have the angle, you can calculate the magnitude of the projected component with the formula given.