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.