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

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Found problems: 2

2017 F = ma, 18
Tags: usapho , acceleration
A uniform disk is being pulled by a force F through a string attached to its center of mass. Assume that the disk is rolling smoothly without slipping. At a certain instant of time, in which region of the disk (if any) is there a point moving with zero total acceleration? A Region I B Region II C Region III D Region IV E All points on the disk have a nonzero acceleration

2017 F = ma, 16
Tags: acceleration , usapho
A rod moves freely between the horizontal floor and the slanted wall. When the end in contact with the floor is moving at v, what is the speed of the end in contact with the wall? $\textbf{(A)} v\frac{\sin{\theta}}{\cos(\alpha-\theta)}$ $\textbf{(B)}v\frac{\sin(\alpha - \theta)}{\cos(\alpha + \theta)} $ $\textbf{(C)}v\frac{\cos(\alpha - \theta)}{\sin(\alpha + \theta)}$ $\textbf{(D)}v\frac{\cos(\theta)}{\cos(\alpha - \theta)}$ $\textbf{(E)}v\frac{\sin(\theta)}{\cos(\alpha + \theta)}$