In Problem 3, what happens if the hoop is also oscillating vertically? (You are now ready for the IPhO.) If you enjoyed this article, download the full PDF containing 50 additional mechanics problems with step-by-step video-linked solutions.
A ladder of length ( L ) and mass ( M ) leans against a frictionless wall. The floor has a coefficient of static friction ( \mu_s ). The ladder makes an angle ( \theta ) with the horizontal. Find the minimum angle ( \theta_{min} ) before the ladder slips. In Problem 3, what happens if the hoop
This article is not a textbook. It is a toolkit. The following problems are designed to break your intuition and rebuild it stronger. We will not simply solve for ( x ); we will derive why ( x ) must be that value, and what happens when the mass goes to infinity or the angle goes to zero. The floor has a coefficient of static friction ( \mu_s )