## 1. Torque

### 1.1. Angular force

1.1.1. Vector quality

### 1.2. Magnitude

### 1.3. Point of Application

1.3.1. Pushing perpendicularly gives a maximum torque

1.3.2. Pushing radially inward with same magnitude gives zero torque

1.3.3. Proportional to the perpendicular component will give it a lesser torque

### 1.4. not seperate from force

### 1.5. measured by how effective a given force is at twisting or turning something

### 1.6. Direction

## 2. PR. Solv. rotational Inertia

### 2.1. If the object consists of a small number of particles calculate the sum

### 2.2. For simple geometric shapes advance math be used, for simplier use table 8.1

### 2.3. decompose object into several parts, find the sum of each, and then add them

### 2.4. move mass parellel to the rotation axis without changing I

## 3. Rotational Inertia

### 3.1. depends on the location of the rotational axis

### 3.2. Newton's Second Law for Rotations

## 4. Spinning of torque

### 4.1. Counterclockwise

4.1.1. Positive

### 4.2. Clockwise

4.2.1. negative