Suppose I don't know if the ball will slide or spin, what mathematical piece of information would lead me to a conclusion? I'm more of an analytical person than imaginative. It is true that the angular momentum can be provided by linear motion, but what evidence states that it will slide. (P.S...
But, shouldn't that be the case anyway? That friction is necessary to BEGIN rolling but once you start rolling, the instantaneous velocity of contact point w.r.t. ground is zero. Hence friction should not cost any energy as it does ZERO work. Am I right?
Thank you for your time, my query feels answered. What textbooks would you recommend for one level above the introductory level, as I would like to step into physics at home.
Can you please elaborate as to what mathematical statement can be used as an evidence that the ball will definitely slide and not spin about it COM. His thinking doesn't really matter, as long as I understand what is happening.
Well, my physics teacher taught us about rotation the other day and I came across a scenario where a sphere and a ring roll down a friction-less inclined plane from a point of absolute rest. I found it counter-intuitive as I started to think about why would they start rolling in the first place...