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DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS PRE-IB PHYSICS

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DEVIL PHYSICSTHE BADDEST CLASS ON

CAMPUSPRE-IB PHYSICS

GIANCOLI LESSON 8-4TORQUE

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

Introductory Video

Center of Mass

CM

Center of Mass

CM

Center of Gravity

CMm1g m2g

msystem

g

Center of Gravity

Pivot point or fulcrum

m1g m2g

Center of Gravity

Pivot point or fulcrum

m1g

What’s gonna happen?

Torque

Pivot point or fulcrum

m1g

Torque happens!

Center of Gravity

Pivot point or fulcrum

m1g

Torque happens!

Torque – Case 1

Pivot point or fulcrum

m1g m2g

Torque – Case 2

Pivot point or fulcrum

m1g

Torque – Case 3

Pivot point or fulcrum

m1g m2g

Torque – Case 4

Pivot point or fulcrum

m1g m2g

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?

Pivot point or fulcrum

m1g

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

LET’S PLAY WITH STUFF

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

QUESTIONS?

#29-33

Homework

VIDEO: TORQUE VS. HORSEPOWER