objectives know the definition of torque know that torque is directly proportional to the...
TRANSCRIPT
Objectives
Know the definition of torque Know that torque is directly
proportional to the magnitude of the force and the perpendicular distance from the axis of rotation to the line along which the force acts
Know what a lever arm or moment arm is in relation to torque
Objectives
Solve problems involving torque Solve torque problems involving
forces applied at an angle other than perpendicular to the moment arm
Torque Torque is:
1. The moment of the force about the axis2. Another name for angular acceleration
Pivot point or fulcrum
m1g
Torque Is The product of the force times the
lever or moment arm. The lever arm is the distance between the force and the axis of rotation
or pivot point or fulcrum
Pivot point or fulcrum
m1g
rF
Torque Since torque is force times distance,
it stands to reason that the units will be Newton-meters (Nm)
Pivot point or fulcrum
m1g
rF
Torque If the blue box is 10kg and 30cm
from the pivot point, how much torque is produced and in what direction?
Pivot point or fulcrum
m1g
rF
Torque If the blue box is
10kg and 30cm from the pivot point, how much torque is produced and in what direction?
Pivot point or fulcrum
m1g
][4.29
81.91030.0
CCWNm
kgm
rF
Torque How much force
would have to be applied 10cm from the pivot to balance the box?
Pivot point or fulcrum
m1g
][294
][10.0
4.29
][4.29
CWNmF
FCCWNm
rFCCWNm
FP
Torque What if the force is applied at a 45°
angle? You still need a vertical force of 294 Nm,
so the applied force must be a lot greater.
Pivot point or fulcrum
m1g
FP
294 Nm
Torque What if the force is
applied at a 45° angle?
Pivot point or fulcrum
m1g
FP
294 Nm 45°
NmF
NmF
F
Nm
P
P
P
41645cos
294
29445cos
Summary Review
Do you know the definition of torque Do you know that torque is directly
proportional to the magnitude of the force and the perpendicular distance from the axis of rotation to the line along which the force acts
Do you know what a lever arm or moment arm is in relation to torque
Summary Review
Can you solve problems involving torque
Can you solve torque problems involving forces applied at an angle other than perpendicular to the moment arm