PHYS 100 Chapter Notes - Chapter 9: Angular Velocity, Mechanical Advantage, Free Body Diagram
10 May 2018
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Chapter 9
Statics and Torque
- Torque is defined as force x distance
o Tirque moving in clockwise, negative
o Counterclockwise, positive
o Torque changes angular velocity
o The harder you pull, the more torque is
generated and more change in angular
velocity
o The amount of force affects torque and the
placement of force
o Angle between applied force and radius
▪ τ = r⊥ F
▪ τNet = a(I)
• Angular acceleration (Inertia)
o Moment of Inertia = ∑m(r2)
▪ Mass(Distance of mass from axis of rotation2)
• Further the mass, the higher the objects moment of inertia
o Torque has the ability to do force
- The first condition for Equilibrium
o The first condition necessary to achieve equilibrium is “the net external force for
the system must be zero
▪ Net F = 0
o If Net F is zero, then the external force in any direction is zero
- The second condition for Equilibrium
o Achieve equilibrium involves avoiding accelerated rotation. A rotation body or
system can be in equilibrium if its rate of rotation is constant and remains
unchanged by the forces acting on it
o Torque is the turning or twisting of a force
▪ Torque, has both magnitude and direction
• Counterclockwise torque is produced by this force, the door will
rotate in a counterclockwise due to F
▪ Torque is the rotational equivalent of a force.
• It is a measure of the effectiveness of a force in changing or
accelerating a rotation
o τ = rF Sinθ
▪ τ is the symbol for torque
▪ r is the distance from the pivot point to the point of
force
▪ F is the magnitude of the force
▪ Θ is the angle between the force and the vector
directed from the point of application to the pivot
point
o r⊥ = r sinθ
▪ r⊥ is the name of perpendicular lever arm
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