Dynamics Simulations Visually

Learn Dynamics with interactive simulations and visualizations. Understand forces, Newton's laws, friction, and motion through hands-on examples.

Forces Friction Tension Free Body Diagrams Equilibrium

Introduction to Dynamics

Dynamics is the branch of classical mechanics concerned with the study of forces and their effect on motion. While kinematics describes motion without considering its causes, dynamics explains how forces create motion and change in motion.

Forces

Push or pull interactions

Friction

Resistance to motion

Tension

Stretching force

Free Body Diagrams

Force visualization

Forces and Newton's Laws

A force is a push or pull upon an object resulting from the object's interaction with another object. Forces can cause objects to accelerate, decelerate, stop, or change direction.

Newton's Laws of Motion:

First Law (Inertia): An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force
Second Law: Force equals mass times acceleration (F = ma)
Third Law: For every action, there is an equal and opposite reaction

Applied Force (N): 50 N

Mass (kg): 10 kg

Friction Coefficient: 0.3

Normal Force (N): 100 N

Friction

Friction is the force resisting the relative motion of solid surfaces, fluid layers, or material elements sliding against each other.

Types of Friction:

Static Friction: Force that keeps an object at rest (fs ≤ μs × N)
Kinetic Friction: Force that acts between moving surfaces (fk = μk × N)
μs: Coefficient of static friction
μk: Coefficient of kinetic friction

Tension and Normal Forces

Tension is the pulling force transmitted axially by a string, cable, chain, or similar object. Normal force is the support force exerted upon an object that is in contact with another stable object.

Contact Forces:

Tension: Force transmitted through a rope, string, or cable when pulled tight
Normal Force: Support force exerted by a surface on an object in contact with it
Direction: Tension acts along the length of the rope; normal force acts perpendicular to the surface
Magnitude: Depends on the weight of the object and other applied forces

Mass 1 (kg): 5 kg

Mass 2 (kg): 10 kg

Free Body Diagrams

Box on Inclined Plane

Incline Angle (°): 30°

Box Mass (kg): 10 kg

Hanging Masses

Left Mass (kg): 5 kg

Right Mass (kg): 10 kg

Interactive Simulations

Force and Motion Simulator

Applied Force (N):

Mass (kg):

Friction Coefficient:

Gravity (m/s²):

Real-time Data Visualization

Net Force: 0.00 N

Friction Force: 0.00 N

Acceleration: 0.00 m/s²

Velocity: 0.00 m/s

Position: 0.00 m

Adjust parameters to see how forces affect motion according to Newton's second law.