A block of mass m is at rest on an incline which is inclined angle relative to horizontal as shown in the figure. There is friction f between the block and the surface. m Ꮎ (A) Draw a free body diagram for the block on the incline, 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 in x and y dimensions (separately) as a function of the frictional force f, the mass of the block m, the gravitational constant g, and the angle of the incline 0. (C) If the block has a mass of 250 g and the coefficient of static friction us is 0.45, find the maximum angle max such that the block is stationary (ie does not slide).

A block of mass m is at rest on an incline which is inclined angle relative to horizontal as shown in the figure. There is friction f between the block and the surface. m Ꮎ (A) Draw a free body diagram for the block on the incline, 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 in x and y dimensions (separately) as a function of the frictional force f, the mass of the block m, the gravitational constant g, and the angle of the incline 0. (C) If the block has a mass of 250 g and the coefficient of static friction us is 0.45, find the maximum angle max such that the block is stationary (ie does not slide).

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 3P: A toy rocket engine is securely fastened to a large puck that can glide with negligible friction...

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