Problem 43
Page 103
Section: Problems
Chapter 4: Dynamics: Newton’s Laws of Motion
Given information
We are given that:-
The mass of the car, .
Mass of the trailer, .
Force exerted by the car on the ground, .
An effective friction coefficient, for the trailer.
Step-by-step explanation
We draw three free-body diagrams—one for the car, one for the trailer, and then “add” them for the combination of car and trailer
Note that since the car pushes against the ground, the ground will push against the car with an equal but oppositely directed force. is the force on the car due to the ground, is the force on the trailer due to the car, and is the force on the car due to the trailer. Note that by Newton’s third law,
Now consider the combined free-body diagram.
From consideration of the vertical forces in the individual free-body diagrams, it is apparent that the normal force on each object is equal to its weight. This leads to the conclusion that :-