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Ch. 12 – Rotational Motion. I. Torque:. Measurement of a force perpendicular to a lever arm. A. T = F perp d (SI Units = Nm). B. Balanced Teeter-Totters:. To balance, torques must be equal!. 1. F perp d = F perp d. 2. If one side has a larger Force (weight) than the other,.

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Ch. 12 – Rotational Motion

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Ch. 12 – Rotational Motion

I. Torque:

Measurement of a force perpendicular to a lever arm

A. T = Fperpd (SI Units = Nm)

B. Balanced Teeter-Totters:

To balance, torques must be equal!

1. Fperpd = Fperpd

2. If one side has a larger Force (weight) than the other,

the distance (length of lever) must change inversely

C. Unbalanced Teeter-Totters:

The CG is always on the side with the most torque

The resistance of objects to changes

in their rotational motion.

II. Rotational Inertia (I):

A. Equation: I = mr2

1. SI units = kgm2

2. The greater the distance the mass is from the CG,

the greater the rotational inertia (balancing a broom)

B. Rolling:

Involves linear motion and rotational motion

*** a barrel of water vs. a barrel of ice ***

C. Angular Momentum:

Like regular momentum, but is the product

of rotational inertia and rotational velocity

*** Angular momentum = I W ***

D. Conservation of Angular Momentum:

Decreasing inertia of a

system increases the

velocity, and vice versa

(ice skaters, etc.)

*** IWbefore = IWafter ***