Fuck me /sci/ i'm having some troubles
Basically i have a situation with a constant force being applied to a particle in contact with a rough plane. The normal contact force varies, so the frictional force increases. However, with the equation i've put in the image, this would result in the particle reversing directions. How do I fix this?
The frictional force will never be greater than the force applied to the object that it is opposing, it increases as the opposing force does until it caps out at F(max). The way of calculating it is V(object)*mu(static or kinetic). As you know, mu only varies with object material.
No matter how much the normal/contact force is, the friction will remain the same. Plot the graph as velocity against time, and you'll have a straight line graph of gradient (F(pushing)-F(kinetic, max))/m
Yet what I said still holds true, friction will only ever be equal to the force it opposes as it is generated by the opposing force, were friction to become greater than the opposing force, there would no longer be any movement to generate friction
depends on what you wanna do. in general you can just write it as "P, if x ... Q, if ~x" and ignore the formality - you already do all of that for a lot of things without realizing anyway
I'm confused, wouldn't you want to say that a = 0 if both uR>=F and v=0? Otherwise you have it stopping on a dime the moment friction exceeds your force no matter what its velocity is.