Examples for

# Dynamics

The field of dynamics studies forces and torques and their effect on motion. Use Wolfram|Alpha to compute the motion of objects subject to torques and forces. Explore the mechanical advantage of simple machines and calculate the work done by applied forces.

### Basics

Calculate the motion of objects under the influence of forces and torques.

#### Do a Newton's second law computation:

#### Compute impulse:

#### Compute rolling motion:

### Simple Machines

Determine the mechanical advantage of the classical simple machines such as the screw, wedge and lever.

#### Compute mechanical advantages of simple machines:

### Pendulums

Study pendulum motion using force diagrams and Newton's equation.

#### Derive the period, frequency and maximum velocity of a pendulum:

### Motion on an Inclined Plane

Analyze the equations of motion of an object on an inclined plane.

#### Compute motion of a block on an inclined plane:

#### Compute motion of a round object on an inclined plane:

#### Find the Hamiltonian of a system:

### Work

Calculate various forms of work such as rotational, force over distance and force applied at an angle.

#### Compute mechanical work:

#### Specify an angle between force and displacement:

#### Compute rotational work:

### RELATED EXAMPLES

### Circular Motion

Calculate motion and forms of acceleration constrained within a circular arc.