This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 1

2013 IPhOO, 3
Tags: moment of inertia , conservation of energy , rotational mechanics , inclines , trigonometry
A rigid (solid) cylinder is put at the top of a frictionless $25^\circ$-to-the-horizontal incline that is $3.0 \, \text{m}$ high. It is then released so that it rolls down the incline. If $v$ is the speed at the bottom of the incline, what is $v^2$, in $\text{m}^2/\text{s}^2$? [i](B. Dejean and Ahaan Rungta, 3 points)[/i] [b]Note[/b]: Since there is no friction, the cylinder cannot roll, and thus the problem is flawed. Two answers were accepted and given full credit.