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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Mountain Climber
A mountain climber wishes to climb up a frictionless conical mountain. He wants to do this by throwing a lasso (a rope with a loop) over the top and climbing up along the rope. Assume that the climber is of negligible height, so that the rope lies along the mountain, as shown in Fig. 1.26. At the bottom of the mountain are two stores. One sells “cheap” lassos (made of a segment of rope tied to a loop of fixed length). The other sells “deluxe” lassos (made of one piece of rope with a loop of variable length; the loop’s length may change without any friction of the rope with itself). See Fig. 1.27. When viewed from the side, the conical mountain has an angle α at its peak. For what angles α can the climber climb up along the mountain if he uses:
(a) a “cheap” lasso?
(b) a “deluxe” lasso?


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