# Torque and Angular Momentum

# Torque and Angular Momentum

by emily esser
# 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. Concepts are the same as linear Kinematics

# 3. PR. Solv. rotational Inertia

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

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

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

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

# 4. Rotational Inertia

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

## 4.2. Newton's Second Law for Rotations

# 5. Spinning of torque

## 5.1. Counterclockwise

### 5.1.1. Positive

## 5.2. Clockwise

### 5.2.1. negative

# 6. Problem solving for Lever arms

## 6.1. Draw a line parallel to the force through the force's point of application

## 6.2. Draw a line from the rotation axis to the line of action

## 6.3. the magnitude of the torque is the magnitude of the force times the lever arm

## 6.4. Determine the algebraic sign of the torque as before