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Section 8.4
Torque
Torque
   How do I calculate torque?
Torque
   How do we cause a rotational motion?

   Apply a force

   The position and direction of the force
    make a difference
Lever Arm
   Lever Arm: The perpendicular
    distance from the axis of rotation to
    the point the force is applied
Lever Arm
   The
    longer the
    better
Relationships

Lever Arm
   FA: = Distance
    from hinge to
    knob

   FD = zero

   FC: trig
Determining Torque Equation

Torque Equation

Example
The biceps muscle
exerts a vertical force
on the lower
arm, bent as shown.
For each
case, calculate the
torque about the axis
of rotation through
the elbow
joint, assuming the
muscle is attached
5.0 cm from the
elbow as shown.
Example
The biceps muscle
exerts a vertical force
on the lower
arm, bent as shown.
For each
case, calculate the
torque about the axis
of rotation through
the elbow
joint, assuming the
muscle is attached
5.0 cm from the
elbow as shown.
Example
   Two thin disk-shaped
    wheels or rA = 30 cm
    and rB = 50 cm, are
    attached to each other
    on an axle that passes
    through the center
    each. Calculate the
    net torque on this
    compound wheel due
    to the two forces
    shown, each of
    magnitude 50 N.
Homework
 Read Section 8.4
 Do Problems # 22 – 26, page 220

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Advanced/Notes 8.4

  • 2. Torque  How do I calculate torque?
  • 3. Torque  How do we cause a rotational motion?  Apply a force  The position and direction of the force make a difference
  • 4. Lever Arm  Lever Arm: The perpendicular distance from the axis of rotation to the point the force is applied
  • 5. Lever Arm  The longer the better
  • 7. Lever Arm  FA: = Distance from hinge to knob  FD = zero  FC: trig
  • 10. Example The biceps muscle exerts a vertical force on the lower arm, bent as shown. For each case, calculate the torque about the axis of rotation through the elbow joint, assuming the muscle is attached 5.0 cm from the elbow as shown.
  • 11. Example The biceps muscle exerts a vertical force on the lower arm, bent as shown. For each case, calculate the torque about the axis of rotation through the elbow joint, assuming the muscle is attached 5.0 cm from the elbow as shown.
  • 12. Example  Two thin disk-shaped wheels or rA = 30 cm and rB = 50 cm, are attached to each other on an axle that passes through the center each. Calculate the net torque on this compound wheel due to the two forces shown, each of magnitude 50 N.
  • 13. Homework  Read Section 8.4  Do Problems # 22 – 26, page 220