A person has a choice while trying to move a crate across a horizontal pad of concrete: push it at a downward angle of 30 degrees, or pull it at an upward angle of 30 degrees.
If the crate has a mass of 50.0 kg and the coefficient of friction between it and the concrete is 0.750, calculate the force required to move it across the concrete at a constant speed in both situations.
2. The attempt at a solution
I don’t know how to start calculating it by I do have an idea of what the answer will be. In the end, pulling at an upward angle will have a lower force because pulling upward will decrease friction resulting in decrease of normal force.
As for the calculation part, I was thinking of using Fpcos(30°)p = [itex]\mu[/itex]N with N being (mg + Fpsin(30°)) for pushing and then Fpcos(30°) = [itex]\mu[/itex]N with N being (mg – Fpsin(30°)) for pulling but I feel like it’s a bit disorganized since it doesn’t follow what we usually have in class like a parent formula on top and you can manipulate it to get this and that, etc.