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 co does not slide down the cover of the book. 7 0 (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 maximum angle Omax such that the coin is stationary (ie does not slide). s is 0.37, find the
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 co does not slide down the cover of the book. 7 0 (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 maximum angle Omax such that the coin is stationary (ie does not slide). s is 0.37, find the
Transcribed Image Text:**Physics Problem: Coin on an Inclined Surface**
A coin of mass *m* is at rest on a book cover which is at an incline angle θ relative to horizontal as shown in the image. 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.
**Tasks:**
**(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 θ.
**(C)** If the coin has a mass of 5.0 grams and the coefficient of static friction μₛ is 0.37, find the maximum angle θₘₐₓ such that the coin is stationary (i.e., does not slide).
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**Image Description:**
The image shows a red book inclined at an angle with a coin placed on its cover. A hand is slightly lifting the book to create the incline. The incline is marked with angle θ. The objective is to analyze the forces acting on the coin due to inclination and static friction.
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