Don't get me wrong. I love math, but this course is not about math, so I like you to have the easiest time with regards to math. You are supposed to think physics rather than math.
So, let us deal with some math issues that seem to be bothering you in connection with the current homework.
Trigonometry: For the Tarzan problem, you need to do the following.
From Tarzan's final position (but just before he drops from the vine), draw a horizontal line back to the vertical line, which represents the vine at the starting point. Then, consider the triangle generated by that horizontal line segment and the line that represents the vine in the final state.
Vector Product: For that mouse on the clock problem, figure out carefully what is the r vector and what is the F vector. Then, figure out the angle between them. Hints: (1) It will help you if you parallel-transport one vector so that their origins coincide. (2) For some strange reason, many of you think that the angle is 30 degrees. It is not. Neither the r vector nor the F vector is horizontal!?
Integration: For the last problem, you are not supposed to use the raw integration method! This is not a calculus class. I mentioned in class that I will NOT ask you to do any integration to obtain the rotational inertia. Instead, this problem is a "parallel axis theorem" problem. No integration required.
Good luck. Please post some questions that bother you. If it bothers you, it is most likely bothering other fellow students as well. Do not struggle alone. Keep bothering other people. However, do remember that in the end you have to be the one who puts everything together. Read my previous blog postings where I posted hints. If you are spending more than 30 minutes on a problem, it is time to stop and do something else, like posting your question on this site or have your favorite snack.
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2 comments:
what about for us more mathematically inclined who want explanations to all the esoteric theorems presented to us in linear algebra, differential eq's and vector calculus in the form of physics?
shane, you can ask me questions privately on those things. The physical basis of many of theorems in those disciplines (and complex analysis!) will become clearer in advanced courses (upper level mechanics, quantum, E&M), not in 5,6,7 series courses. However, even after done with those advanced courses, physics and math should be distinguished.
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