The Kinetic Map
Biomechanics, Physics & The Mathematics of Movement
Realm Doctrine
Why does a body move the way it does when forces act on it? This realm explains the underlying physics of human motion. Building upon structural anatomy and physiological engines, we map the invisible forces, torques, and leverages that dictate equilibrium, propel mass through space, and determine ultimate mechanical efficiency.
The Internal Doors
Ontology of Kinesiology & Mechanics
Language of Biomechanics
- Kinesiology and mechanics
- Position, displacement, and distance
- Velocity, acceleration, mass, and force
- How human movement is described mechanically
Scalars & Vectors
- Scalar: Magnitude only (Speed, Distance, Mass)
- Vector: Magnitude + Direction (Velocity, Force)
- Vector representation and resultant forces
- The mathematical language of movement
Position & Motion
- Translation (Linear motion) vs. Rotation (Angular motion)
- Reference points and trajectories
- Note: Most human movements combine both linear and angular motion.
Velocity & Acceleration
- Average vs. Instantaneous velocity
- Acceleration and Deceleration
- Positive/Negative acceleration vectors
- Time-motion relationships
Newton's Laws
- 1st: Inertia (Rest vs. Motion)
- 2nd: Force = Mass × Acceleration
- 3rd: Action and Reaction
- Application: Jumping, landing, pushing
Force
- Internal forces (muscle) vs. External forces
- Contact force and ground-reaction force
- Gravity, friction, and air resistance
- Magnitude, direction, and point of application
Mass, Weight & Gravity
- Mass: Amount of matter (constant)
- Weight: Mass × Gravity (force)
- Gravitational acceleration and pull
- Effects of gravity on human movement
Torque & Moment
- The rotational effect of force
- Moment arm and axis of rotation
- Internal (muscle) vs. External (load) torque
- TORQUE = FORCE × MOMENT ARM
Human Levers
- Fulcrum (Joint), Effort (Muscle), Load (Weight)
- 1st, 2nd, and 3rd class lever systems
- Anatomical examples: Neck, Calf, Biceps
Mechanical Advantage
- Force arm vs. Resistance arm
- Force advantage vs. Speed advantage
- The body trades mechanical advantage for speed/range of motion.
Centre of Mass
- The theoretical point where all mass is balanced
- Body mass distribution and segment mass
- Shifting COM dynamically during movement
Centre of Gravity
- The vertical projection of COM
- Gravitational line and body alignment
- Where does the body's effective pull act?
- Standing, jumping, landing
Base of Support
- Foot position, width, and length of stance
- The support polygon defining stability
- Dynamic base shifting during locomotion
Balance & Equilibrium
- Static vs. Dynamic equilibrium
- Force balance and Torque balance
- Managing moments to intentionally change states
Stability
- Height of COM relative to Base of Support
- Friction and the line of gravity
- Stability versus Mobility trade-offs
- Athletic stance mechanics
Friction
- Static vs. Kinetic friction
- Ground contact, traction, and footwear
- Starting, stopping, and cutting mechanics
Work, Energy & Power
- Kinetic vs. Potential mechanical energy
- WORK = FORCE × DISTANCE
- POWER = WORK ÷ TIME
- Energy transfer and conservation
Impulse & Momentum
- Linear and angular momentum
- Force-time relationship (Impulse)
- A force applied over time changes momentum.
- Collision, catching, and landing mechanics
Angular Motion
- Angular displacement, velocity, and acceleration
- Rotation around joint axes
- Throwing, swinging, kicking, and turning
Human Movement Chains
- Open vs. Closed kinetic chains
- Proximal to distal sequential movement
- Foot → Leg → Hip → Trunk → Arm → Hand
- Force transfer and segment coordination
Gait & Locomotion
- Walking and running gait cycles
- Stance, swing, foot strike, and push-off
- Ground reaction forces and shock absorption
- Joint angle optimization
Sports Movement Analysis
- Observation of movement phases and timing
- Force production and transfer
- 2D/3D video analysis of technique
- Sprinting, jumping, swimming, lifting
Biomechanical Efficiency
- Reducing unnecessary movement and leakage
- Force optimization and alignment
- Movement economy and equipment interaction
- Performing the same task with better mechanical organization
The Complete Kinetic Map
- Body → Segments → Joints → Muscle Force
- Torque + Linear/Angular Motion
- COM + BOS = Balance/Stability
- Force Transfer → Movement → Sport
Core Distinctions
Mass is the total amount of matter in an object; it never changes regardless of location. Weight is the gravitational force acting on that mass. (If you go to the moon, your mass is identical, but your weight is vastly reduced).
Force vs. TorqueForce pushes or pulls an object in a straight line (linear). Torque is a force applied at a distance from an axis, causing rotation (angular). Muscles produce linear force that translates into torque at the joints.
Work vs. PowerWork is moving a mass over a distance (lifting 100kg by 1 meter). Power is how fast you do that work. Lifting the same weight in 1 second requires twice the power as lifting it in 2 seconds.
The Seven-Realm Engine
Connecting biological structure to the physics of motion.