Simplifying Problems. Free-Body Diagrams. used to isolate a system of interest and to identify and analyze the external forces that act directly upon it. Free-Body Diagrams. common forces in free-body diagrams include: tension forces gravity (weight) normal force friction. Ideal Strings.
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Simplifying Problems
Free-Body Diagrams
Free-Body Diagrams
Ideal Strings
Ideal Strings
Ideal Strings
Connected Objects
There is no single, uniform way to solve every problem involving mechanics and connected objects.
Free-body diagrams can be very helpful in the analysis of these problems.
Connected Objects
Drawing a “world diagram” is a good way to start.
It should include all connections and include an arrow showing the direction of motion (if known).
Connected Objects
When drawing individual free-body diagrams for each object, include force vectors showing all forces acting on the object.
Connected Objects
Select a coordinate system for each object.
It is not necessary for all objects to use the same coordinate system.
Example 8-1
Transmitting Mechanical Forces
Ideal Pulleys
Ideal Pulleys
Ideal Pulleys
Ideal Pulleys
Example 8-2
The free-body diagrams are drawn first.
Take special note of the coordinate system used for each block!
Check all directions when you have finished.
Example 8-3
The free-body diagrams are drawn first.
Be especially careful with the components this time!
Are the pulleys moving in the direction you calculated?
Inclines
Normal Force
Normal Force
Normal Force
Normal Force
Normal Force
But what if the object and scale are accelerating??
Normal Force
But what if the object and scale are accelerating??
Normal Force
But what if the object and scale are accelerating??
Friction
What is Friction?
What is Friction?
Traction
Friction
Friction
Friction
Friction
Kinetic Friction
Kinetic Friction
Kinetic Friction
Kinetic Friction
Kinetic Friction
Kinetic Friction
Static Friction
Static Friction
Static Friction
Static Friction
Static Friction
Static Friction
More Applications of Friction
Rolling Friction
Rolling Friction
Inclined-Plane Dynamics
Inclined-Plane Dynamics
Inclined-Plane Dynamics
Inclined-Plane Dynamics
Inclined-Plane Dynamics