A coin of mass m is at rest on a book cover which is at an incline angle relative to horizontal at as shown in the figure. There is friction f between the coin and the surface of the book so that the coin does not slide down the cover of the book.
A coin of mass m is at rest on a book cover which is at an incline angle relative to horizontal at as shown in the figure. There is friction f between the coin and the surface of the book so that the coin does not slide down the cover of the book.
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Transcribed Image Text:A coin of mass m is at rest on a book cover which is at an incline angle relative to horizontal at as
shown in the figure. There is friction f between the coin and the surface of the book so that the
coin does not slide down the cover of the book.
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(A) Draw a free body diagram for the coin on the surface of the inclined book cover, including all
forces acting on the block as vectors. Make sure to label the vectors. Include x and y axes in your
sketch (feel free to draw axes in any orientation you would like).
(B) Use Newton's second law to write equations for forces acting on the coin in x and y dimensions
(separately) as a function of the frictional force f, the mass of the coin m, the gravitational
constant g, and the angle of the incline 0.
(C) If the coin has a mass of 5.0 grams and the coefficient of static friction us is 0.37, find the
maximum angle max such that the coin is stationary (ie does not slide).
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