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Kinematics and Kinetics in Biomechanics
(15-Mark Exam Answer)
1. Introduction to Biomechanics
Biomechanics combines engineering mechanics with biology and physiology. It applies mechanical principles to the human body to understand the mechanical influences on bone and joint health. Within biomechanics, two major subdivisions exist: kinematics and kinetics.
"Kinematics is the study of motion without analyzing the forces causing the motion... and kinetics focuses on the forces that generate that motion."
- Firestein & Kelley's Textbook of Rheumatology
2. KINEMATICS
Definition
Kinematics is the study of motion without reference to the forces that cause it. It describes HOW a body moves - in terms of position, displacement, velocity, acceleration, and time.
- Miller's Review of Orthopaedics: "Kinematics: study of motion (displacement, velocity, and acceleration) without reference to forces."
Types of Motion in Kinematics
| Type | Description | Example |
|---|
| Translation | All parts of the object move the same distance at the same time | Sliding a book across a table |
| Rectilinear Translation | Path is a straight line | A person walking in a straight corridor |
| Curvilinear Translation | Paths are curved | A ball thrown through the air |
| Rotation | All parts rotate through the same angle | Swinging of the forearm at the elbow |
| General Motion | Combination of translation + rotation | Most human body movements |
Key Kinematic Variables
- Position - location of a rigid body in space (3 translations + 3 rotations = 6 degrees of freedom in 3D)
- Displacement - change in position (linear or angular)
- Velocity - change in displacement over time (m/sec)
- Linear velocity = rate of translational displacement
- Angular velocity = rate of rotational displacement
- Acceleration - change in velocity over time (m/sec²)
Types of Kinematic Analysis
- 2-D (Planar) Analysis - simplified analysis where motion is in one plane (e.g., sagittal plane walking)
- 3-D Analysis - full analysis in all three planes (most accurate for human movement)
Clinical Example 1 - Gait Analysis (Walking)
During normal walking, knee motion is primarily in the sagittal plane:
- At initial contact: knee is near full extension (~5° flexion)
- During loading response: knee flexes to ~15°
- At mid-stance: knee moves back into extension
- At toe-off (~60% of gait cycle): knee begins rapid flexion in swing phase
This is a purely kinematic description - it tells us WHAT the joint is doing, not why.
Clinical Example 2 - Shoulder Flexion
When a patient raises their arm overhead, kinematics describes the arc of motion: 0-180° of shoulder flexion, the associated scapular upward rotation (scapulohumeral rhythm), and the velocity of movement. No forces are considered - only angles and motion.
Spatiotemporal Parameters (also Kinematic)
- Step length - distance between heel contact of one foot to heel contact of the opposite foot
- Stride length - distance from one heel contact to the same foot's next heel contact (one full gait cycle)
- Cadence - steps per minute
- Walking speed - distance covered per unit time
3. KINETICS
Definition
Kinetics is the study of forces that cause, arrest, or modify motion in a system.
- Miller's Review of Orthopaedics: "Kinetics: study of forces that cause motion."
- Firestein & Kelley's Textbook of Rheumatology: "Kinetics is the study of the forces that cause motion of a rigid body. These forces can be classified as either external forces or internal forces."
Types of Forces in Kinetics
A. External Forces - forces from objects contacting the body:
- Gravity (body weight acting downward)
- Ground Reaction Forces (GRF) - the force the ground exerts on the foot during walking/running
- Applied loads - forces from equipment, weights, splints
B. Internal Forces - the body's responses to external forces:
- Muscle forces - generated by muscle contraction
- Ligament forces - passive tension in ligaments
- Joint contact forces - compressive and shear forces at joint surfaces
Newton's Laws Applied to Kinetics
| Law | Statement | Clinical Relevance |
|---|
| 1st Law (Inertia) | A body at rest stays at rest unless acted upon by a net force | A limb won't move unless muscles produce force |
| 2nd Law (F = ma) | Force = mass × acceleration | Greater muscle force needed to accelerate a heavier limb |
| 3rd Law (Action-Reaction) | Every force has an equal and opposite reaction force | Ground pushes up on the foot with the same force the foot pushes down |
Key Kinetic Variables
- Force (F) - mechanical push or pull; unit = Newton (N)
- Torque / Moment - rotational force; Force × perpendicular distance (moment arm); unit = N·m
- Joint Reaction Force - net force transmitted across a joint
- Power - rate of doing work (Force × velocity); unit = Watts (W)
- Work - Force × displacement; unit = Joules (J)
Clinical Example 1 - Patellofemoral Pain Syndrome
The joint contact force at the patellofemoral joint during stair climbing can be 3-4× body weight. This is a kinetic measure. The large quadriceps muscle force (internal force) combined with gravity (external force) generates this high joint contact force. Understanding this helps physiotherapists prescribe exercises that reduce patellofemoral loading.
Clinical Example 2 - Ground Reaction Forces in Running
During running, the ground reaction force can reach 2-3× body weight at heel strike. Excessive vertical loading rate (a kinetic variable) is linked to stress fractures. Physiotherapists use this kinetic information to modify running technique and footwear.
Clinical Example 3 - Muscle Torque at the Elbow
When holding a weight in hand, the biceps must generate enough torque to balance the torque created by the weight. If the load is 5 kg held at 30 cm from the elbow, the external torque = 5 × 9.8 × 0.3 = 14.7 N·m. The biceps must match this with its own torque. This is pure kinetics.
4. KEY DIFFERENCES: Kinematics vs. Kinetics
| Feature | Kinematics | Kinetics |
|---|
| Focus | Description of motion | Forces causing motion |
| Variables | Position, velocity, acceleration, joint angles | Force, torque, power, work |
| Question answered | How does the body move? | Why does the body move? |
| Forces considered | No | Yes |
| Clinical tools | Goniometer, motion capture, video analysis | Force plates, EMG, dynamometers |
| Example | Knee flexes to 90° during sitting | Quadriceps generates 150 N·m torque to achieve that flexion |
5. Physiotherapy Relevance
- Kinematics is used in gait analysis, post-surgical movement assessment, and range of motion measurement. A physiotherapist analyzing a patient's walking pattern and recording joint angles is performing kinematic analysis.
- Kinetics is used to assess muscle strength, joint loading, and forces during functional tasks. Isokinetic dynamometry and force plate analysis are kinetic assessments.
- In clinical practice, both are needed together for a full picture - kinematics tells you what's happening, kinetics tells you why and how much force is involved.
Summary
| Kinematics | Kinetics |
|---|
| Definition | Study of motion without forces | Study of forces causing motion |
| Sub-types | Translation, rotation, general motion | External forces, internal forces |
| Key variables | Position, velocity, acceleration | Force, torque, power, work |
| Human example | Measuring ROM of the shoulder | Calculating biceps force during lifting |
| Gait example | Joint angles during walking | Ground reaction forces during walking |
Sources: Firestein & Kelley's Textbook of Rheumatology; Miller's Review of Orthopaedics 9th Edition; Rheumatology 2-Volume Set (Elsevier, 2022)