There is a simple method for measuring the coefcients of

Chapter 4, Problem 4.82

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There is a simple method for measuring the coefcients of static and kinetic friction between an object and some surface. For this investigation, you will need a few coins, your textbook or some other at surface that can be inclined, a protractor, and some double-stick tape. Place a coin at one edge of the book as it lies on a table, and lift that edge of the book until the coin just slips down the incline, as shown in Figure A4.1. When the coin starts to slip, measure the angle of incline with your protractor. Repeat the measurement ve times, and nd the average value of this critical angle c. The coefcient of static friction between the coin and books surface is s tan c. (You should prove this as an exercise.) Calculate the average value of s. To measure the coefcient of kinetic friction, nd the angle c at which the coin moves down the incline with constant speed. This angle should be less than c. Measure this new angle ve times, and get its average value. Calculate the average value of k, using the fact that k tan c, where cc. Repeat these measurements, using two or three stacked coins with double-stick tape between them. You should get the same results as with one coin. Why?

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