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Chapter 9

Static
Equilibrium
Conditions for Equilibrium
• What are the conditions for equilibrium?
What if…
• We look at a book sitting on a table

• Is it moving?
Equilibrium
• The book is experiencing forces but is not
  moving

• It is in equilibrium

• Latin for equal forces
Braces
• The wire band
  around the teeth has
  a tension TF of 2.0 N
  along it. What is the
  resultant force on
  the highlighted
  tooth?
• Draw a force
  diagram of the tooth.
Braces
• The wire band
  exerts the FT in each
  direction along the
  wire.
• Since the forces are
   equal and in
   opposite directions,
   the FR will be along
   the line that bisects
   the angle between
   them.
Braces
• Call the direction of
  FR the y axis
• What will be the
  sum of the forces in
  the x direction?
• What will be the
  sum of forces in the
  y direction (FR)?
• Result of this?
Equilibrium
Chandelier
• Calculate the
  tension FA and FB
  in the two cords
  that are connected
  to the vertical cord
  supporting the 200
  kg chandelier.
• Draw a free-body
  diagram of what?
Chandelier
• Pick the point where the three cords meet

• Sum in the forces in the x and y direction

• Resolve FA into components
Equilibrium
Equilibrium?
Equilibrium
• The forces add up to
  zero, but…

• The forces produce a
  net torque that will
  rotate the object

• Couple: A pair of
  equal forces acting in
  opposite directions
  but at different point in
  on object
Equilibrium
Lever
• A bar is placed over
  a small rock to act as
  a lever on the large
  rock
• The lever should
  allow a smaller FP
• What if FP is still not
  large enough?
Mechanical Advantage
Homework
• Read Section 9.1

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Advanced/Notes 9.1