1. An object of mass m rests at the top of a smooth slope of height h, length L and angle 0. The coefficient of kinetic friction ux is small enough that once the object is given a small push, it will slide down the slope. a. Sketch the physical situation, choose a coordinate system and draw a free body diagram for the object. List the knowns and unknowns. (Hint: choosing a coordinate system that is aligned with the motion of the object will make calculations easier.) b. Write down Newton's Second Law for the y motion of the object. Using this determine an expression for the magnitude of the normal force. c. Write down Newton's Second law for the x motion of the object. Using this, and your result from part b, determine an expression for the acceleration of the object down the slope.
1. An object of mass m rests at the top of a smooth slope of height h, length L and angle 0. The coefficient of kinetic friction ux is small enough that once the object is given a small push, it will slide down the slope. a. Sketch the physical situation, choose a coordinate system and draw a free body diagram for the object. List the knowns and unknowns. (Hint: choosing a coordinate system that is aligned with the motion of the object will make calculations easier.) b. Write down Newton's Second Law for the y motion of the object. Using this determine an expression for the magnitude of the normal force. c. Write down Newton's Second law for the x motion of the object. Using this, and your result from part b, determine an expression for the acceleration of the object down the slope.
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 45AP
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