I have a project about analyzing motion down a curved ramp. I am quite confused about how to approach it. Can someone please point me in the right direction? (Is this the right place?)
I have a project about analyzing motion down a curved ramp. I am quite confused about how to approach it. Can someone please point me in the right direction?
There's a lot of equation editor stuff that I can't reproduce here. I printed them into images. That's fine right?
Q1. The second normal force (FN,2) is what throws me off (and the rest of the sin and cos stuff with derivatives). The equation of that normal force is given as FN,2 = mv2/R
That looks awfully like the centripetal force equation for a circle with radius R. But in this case where is the circle? I originally thought that other force would consist of the inertia force from the previous "piece" of the curve, but I have no idea how to express that in terms of math. Is this correct at all?
I lose understanding right where it starts talking about the second portion of the normal force.
Q2. The "trig identities" on page 3, I have never seen those identities in my life and my partner refuses to explain where she got them from. Are they correct at all? I just get completely lost from that point on...
Q3. If we were to do an experiment of this. Would having a ball roll down a curve be the same as having a piece of block slide down the curve (like the diagram)?
However, I think most members of PF would strongly disagree with calling it a force (your book calls it the "second normal force") … it's really the mass times the centripetal acceleration, and comes on the RHS of F = ma, not the LHS …
there's no friction force impeding a rolling object (the point of contact is stationary, so there is no https://www.physicsforums.com/library.php?do=view_item&itemid=75" by the reaction force)