MATH114 Lecture 20: Slides - Week 11 - Thursday - Annotated.pdf

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Vincent Bouchard

Document Summary

I"m at bat, and i"m the kind of homerun hitter that only cares about hitting the ball as far as possible. Suppose that there is now a horizontal wind with constant velocity w km/h (a positive wind velocity means a tailwind). Let"s go back to a windless day, but this time let"s take into account that i do not hit the ball right on the ground; i hit it about arm"s height. Assume that i hit the ball exactly 1 m above the ground. As part of a eld expedition, a crate of supplies (mass m = 200 kg ) is to be pulled approximately 2 km across a horizontal glacier. A pulling cable is attached to the center of mass of the crate, as shown below. For a given angle (which we assume to be between 0 and /2), we de ne f to be the maximum force that can be applied without moving the crate.