Biomechanics: Forces, Torques & Bio-Structures

Learning Goal: Mastering Biomechanics: Forces, Torques, and Structural Mechanics in Biological Systems. Gain a deep, mathematically rigorous, and clinically applicable understanding of how mechanical forces act upon and within the human body and other biological systems.

Prerequisites: High School Physics (Newtonian Mechanics), Basic Algebra & Vector Calculus, Introductory Human Anatomy.
Estimated Total Study Time: 32 Hours

Module 1: Foundations of Physics and Anatomy in Biomechanics

This module establishes the foundational language of biomechanics by integrating Newtonian physics with human anatomy. You will learn to define biological movements using standard anatomical planes and axes, treat muscles and bones as vector quantities, and apply Newton’s laws of motion directly to physical human actions.

Biomechanics Lecture 1: Intro

@RehabScience13:26123,372

Biomechanics Lecture 1: Intro

Biomechanics integrates biology and physics to study living organisms as a sub-discipline of kinesiology. The discipline divides into statics (constant motion without acceleration) and dynamics (movement with acceleration). Under dynamics, kinematics describes motion using anatomical terms, joint angles, velocity, and speed, while kinetics analyzes forces including ground reaction forces measured via force plates. Anthropometrics measures body segment sizes and shapes. Biomechanics serves dual p

@RehabScience · 13:26

Why this video is valuable

This lecture serves as an ideal entry point by defining biomechanics as a sub-discipline of kinesiology. It introduces the vital distinction between statics (bodies at constant velocity) and dynamics (accelerating bodies), and demonstrates how basic mechanical engineering principles apply to living organisms.

Knowledge Checkpoint

Differentiate between statics and dynamics in the context of human movement.
Identify how internal forces (muscle tension) and external forces (gravity, friction) interact.
Define the scope of qualitative versus quantitative biomechanical analysis.

#1 Introduction to Forces | Resolving forces | Principle of Transmissibility | Biomechanics

@nptel-nociitm924031:0411,882

#1 Introduction to Forces | Resolving forces | Principle of Transmissibility | Biomechanics

Force is an external agent capable of changing a body's state of rest or motion, defined by Newton's second law as F = ma, with the SI unit being Newton (kg·m/s²). Forces are vector quantities with magnitude and direction, and can exist in two or three dimensions. The main types of forces include applied forces, reaction forces (such as ground reaction forces), normal forces (acting perpendicular to surfaces), and frictional forces (opposing motion). The principle of transmissibility states that

@nptel-nociitm9240 · 31:04

Why this video is valuable

To model human joints, you must understand how to resolve vectors. This academic-grade lecture teaches you how to treat forces mathematically, explaining vector resolution, lines of action, points of application, and the Principle of Transmissibility, which is vital for locating joint reaction forces.

Knowledge Checkpoint

Define a force vector using magnitude, direction, point of application, and line of action.
Resolve a single muscle pull force vector into horizontal ( $x$ ) and vertical ( $y$ ) components using trigonometric equations.
Explain the Principle of Transmissibility and why it is valid for rigid body calculations.

3D Anatomical Planes & Axes of Motion #OMM #OMT #COMLEX #wedabest

@madmed03:5835,533

3D Anatomical Planes & Axes of Motion #OMM #OMT #COMLEX #wedabest

This video explains the three fundamental planes of anatomical motion (sagittal, coronal, and transverse) and their corresponding axes: flexion/extension occurs in the sagittal plane around a transverse axis, rotation occurs in the transverse plane around a vertical axis, and sidebending occurs in the coronal plane around an anterior-posterior axis.

@madmed · 03:58

Why this video is valuable

Biomechanics requires precise anatomical descriptions. This visual video utilizes clear 3D modeling to demonstrate the three principal anatomical planes of movement (sagittal, frontal/coronal, transverse) and their corresponding axes of rotation (transverse, anteroposterior, vertical).

Knowledge Checkpoint

Identify which physical actions (e.g., flexion, extension, abduction, rotation) occur in which anatomical planes.
Explain why a movement in a given plane must occur around an axis perpendicular to that plane.
Name the axis of rotation associated with a standard jumping jack.

Newtons law of motion | Biomechanics

@sgvuphysiotherapye-learnin335511:473,745

Newtons law of motion | Biomechanics

Newton's three laws of motion govern human body movement: the first law states that a body remains at rest or in constant angular velocity unless acted upon by external torque, with key concepts including inertia (resistance to change in motion, proportional to mass), center of mass, and radius of gyration (average distance from axis to center of mass, where inertia = m × r²); the second law states that torque equals moment of inertia times angular acceleration (τ = Iα); and the third law states

@sgvuphysiotherapye-learnin3355 · 11:47

Why this video is valuable

This lecture bridges the gap between basic physics and human movement. It details how Newton's three laws of motion (Inertia, Acceleration, and Action-Reaction) govern muscle mechanics, sports performance, and patient transfers in clinical environments.

Knowledge Checkpoint

Apply Newton’s first law of motion to explain why orthopedic braces must counteract rotational inertia.
Use $F=ma$ to calculate the linear force required to accelerate a limb of a known mass.
Identify the exact action-reaction force pair occurring when a foot pushes off the ground.

Module 2: Biomechanical Levers and Torques (Statics)

This module focuses on human structures at rest or in constant motion. You will master the physics of torque, calculate moment arms, classify the three classes of anatomical muscle-joint lever systems, and solve complex static equilibrium problems to compute internal joint reaction forces.

Lever systems in the human body

@akram.jaffar06:46484,776

Lever systems in the human body

The human body utilizes three classes of levers to facilitate movement: first-class levers (fulcrum between effort and resistance, changing force direction, e.g., splenius muscle extending the head), second-class levers (resistance between effort and fulcrum, providing mechanical advantage greater than 1 but sacrificing range of motion, e.g., plantar flexion at the ankle), and third-class levers (effort between fulcrum and resistance, the most common type in the body, sacrificing force for dista

@akram.jaffar · 06:46

Why this video is valuable

This is a standard text-to-human mapping resource. It explains how bones act as rigid bars, joints serve as fulcrums, muscles generate effort, and gravity/objects act as resistance. It clearly illustrates the anatomical locations of 1st, 2nd, and 3rd class lever systems in the human body.

Knowledge Checkpoint

Sketch and label 1st, 2nd, and 3rd class anatomical levers, showing the relative positions of the effort, resistance, and fulcrum.
Identify a classic bodily example for each class of lever (e.g., the elbow joint, ankle joint, neck joint).
Calculate the mechanical advantage ( $MA$ ) of a third-class lever and explain why the human body is structurally designed for speed and range of motion over mechanical force leverage.

Static Equilibrium - Tension, Torque, Lever, Beam, & Ladder Problem - Physics

@TheOrganicChemistryTutor07:321,709,560

Static Equilibrium - Tension, Torque, Lever, Beam, & Ladder Problem - Physics

Static equilibrium requires two conditions: net force equals zero (translational equilibrium) and net torque equals zero (rotational equilibrium). Torque is calculated as τ = r × F = F × r × sin(θ), where θ is the angle between force and lever arm. Counterclockwise torques are positive, clockwise are negative. These principles apply universally to all static equilibrium problems, forming the foundation for analyzing seesaws, hanging signs, beams, and ladders.

@TheOrganicChemistryTutor · 07:32

Why this video is valuable

Calculating joint forces requires mastery of static equilibrium math. This video provides step-by-step guidance on setting up torque calculations ( $\tau = rF\sin\theta$ ) and applying the two fundamental equations of static equilibrium: $\sum \vec{F} = 0$ and $\sum \vec{\tau} = 0$ .

Knowledge Checkpoint

Write the mathematical conditions necessary for a musculoskeletal structure to remain in static translational and rotational equilibrium.
Compute torque using force and the perpendicular distance (moment arm) from the axis of rotation.
Solve a multi-force static beam problem, mapping the physics formulas directly to bone alignment calculations.

Example Calculation of Calf Muscle and Ankle Joint Reaction Forces | When the Foot Is All the Way Up

@TheOpenEducator01:07172

Example Calculation of Calf Muscle and Ankle Joint Reaction Forces | When the Foot Is All the Way Up

To find the joint reaction force, take moments about the muscle line of action. The joint reaction force creates a clockwise moment (negative) while the body weight creates a counterclockwise moment (positive). The distance from the muscle line of action to the joint is 6.24 + 1.5 = 7.74 inches. Setting the sum of moments equal to zero gives: -F_joint × 1.5 + 150 × 7.74 = 0, resulting in F_joint = 774.5 pounds.

@TheOpenEducator · 01:07

Why this video is valuable

This concise walkthrough solves a common static problem: finding calf muscle force and joint reaction forces at the ankle. It demonstrates how choosing the correct pivot point simplifies the torque equations and isolates unknown physiological forces.

Knowledge Checkpoint

Set up a moment equation about the ankle joint center of rotation to solve for Achilles tendon tension force.
Calculate the magnitude and direction of the joint reaction force acting on the talus.
Explain why the joint reaction force can be significantly larger than the total body weight of the individual.

HIP JOINT UNILATERAL STANCE (HIP COMPLEX BIOMECHANICS)Physiotherapy Tutorials

@MovementScience821:1724,249

HIP JOINT UNILATERAL STANCE (HIP COMPLEX BIOMECHANICS)Physiotherapy Tutorials

In unilateral stance, the hip joint experiences compressive forces of approximately 5/6 of body weight plus an adduction torque that must be counteracted by abductor muscles; these forces can be reduced through weight loss (most effective, as 1kg reduction reduces hip compression by 3kg), compensatory lateral trunk lean (reduces torque by approximately 50% by decreasing the moment arm and reducing abductor pain), or cane use (contralateral cane provides better force reduction than ipsilateral ca

@MovementScience8 · 21:17

Why this video is valuable

This clinical biomechanics presentation explains the mechanics of unilateral (one-legged) stance. It analyzes the severe torque demands placed on the hip abductors (Gluteus Medius/Minimus) to keep the pelvis level, illustrating how static principles prevent skeletal failure and joint wear.

Knowledge Checkpoint

Draw a free-body diagram of the pelvis during a single-limb stance.
Calculate the hip abductor muscle force required to balance the body weight moment arm during single-leg support.
Explain why holding a cane in the contralateral hand decreases the joint reaction force acting on the painful hip.

Module 3: Skeletal Mechanics and Material Properties

This module transitions from external forces to structural material behaviors. You will explore how bones, ligaments, tendons, and cartilage respond to loading forces. Key themes include stress-strain curves, anisotropic properties of bone, viscoelastic behavior, and cellular bone remodeling.

K305 Week 5 - 07: Bone stress-strain curves

@learnbiomechanics86008:295,264

K305 Week 5 - 07: Bone stress-strain curves

Bone exhibits different mechanical behaviors depending on loading direction; under compression, bone shows a linear stress-strain curve with high stiffness and ultimate strength, while under tension, bone is significantly weaker and less stiff with a lower ultimate strength, which explains why bones are designed to withstand compressive forces from body weight but are more susceptible to damage on the tensile side during activities involving muscle-induced bending moments.

@learnbiomechanics860 · 08:29

Why this video is valuable

This biomechanics lecture breaks down how bone responds differently depending on the direction of loading (anisotropy). It walks through stress-strain curves for tension, compression, and shear, illustrating elastic deformation, plastic deformation, ultimate strength, and catastrophic fracture points.

Knowledge Checkpoint

Define mechanical stress ( $\sigma = F/A$ ) and strain ( $\epsilon = \Delta L / L_0$ ).
Label the yield point, elastic region, plastic region, and failure point on a cortical bone stress-strain curve.
Explain why cortical bone is strongest in compression, weaker in tension, and weakest in shear.

Introduction to Viscoelasticity

@bamlab678704:50167,399

Introduction to Viscoelasticity

Viscoelastic materials exhibit both solid-like and fluid-like properties depending on the timescale of observation; they can be modeled using a combination of springs (representing elasticity) and dashpots (representing viscosity), making them valuable for studying biological tissues like cells that show complex mechanical responses when forces are applied.

@bamlab6787 · 04:50

Why this video is valuable

Most biological tissues are not purely elastic; they are viscoelastic. This animation establishes the basic mechanics of viscoelasticity using spring (elastic) and dashpot (viscous fluid) mathematical analogs (Maxwell and Kelvin-Voigt models).

Knowledge Checkpoint

Describe how a viscoelastic material’s response changes based on the rate of force loading.
Differentiate between the mechanical behaviors of a spring (Hookean solid) and a dashpot (Newtonian fluid).
Explain the phenomena of stress relaxation and creep in viscoelastic biomaterials.

Biomechanics: Tendon Viscoelasticity

@kaytfrisch759503:2222,310

Biomechanics: Tendon Viscoelasticity

Viscoelastic behavior combines viscous and elastic properties in materials, creating history-dependent mechanics. Key characteristics include hysteresis (energy loss during loading-unloading cycles), rate dependence (stiffness varies with loading speed), load relaxation (force decreases under constant deformation), and creep (progressive deformation under constant force). Tendon and ligament exhibit these properties strongly due to their collagen composition, making them ideal examples for study

@kaytfrisch7595 · 03:22

Why this video is valuable

This video applies viscoelastic principles to tendons and ligaments. It details three crucial clinical behaviors: hysteresis (energy lost as heat during cyclic loading), creep (gradual elongation under constant load), and stress relaxation (force decrease over time at a constant length).

Knowledge Checkpoint

Define biological hysteresis and calculate energy loss during joint movement.
Give a clinical example of creep in human tissue (e.g., spinal disc compression throughout the day).
Explain how a physical therapist uses stress relaxation to permanently stretch tight joint structures.

Bone Metabolism (Remodeling)

@AKLECTURES04:5272,939

Bone Metabolism (Remodeling)

Bone remodeling is a continuous lifelong process where specialized cells break down and rebuild bone tissue. The process involves osteoclasts (bone-resorbing cells) and osteoblasts (bone-forming cells) working in sequence. Osteoclasts attach to bone surfaces and resorb bone, releasing calcium and phosphate into the bloodstream. After resorption, osteoblasts are recruited to the same site, where they secrete collagen and deposit hydroxyapatite to rebuild the matrix. This cycle maintains bone stru

@AKLECTURES · 04:52

Why this video is valuable

Bones adapt dynamically to applied mechanical stresses (Wolff's Law). This video covers the biochemical and physiological processes of bone remodeling, illustrating how osteoclasts resorb bone in high-strain areas and osteoblasts deposit new bone matrix.

Knowledge Checkpoint

State Wolff’s Law of bone remodeling in mechanics terms.
Describe the respective roles of osteoblasts and osteoclasts in structural bone remodeling.
Explain how long-term microgravity (spaceflight) or bed rest impacts bone mineral density.

Module 4: Kinesiology and Movement Dynamics

In this module, you will analyze the dynamics of human locomotion. You will study clinical gait cycle mechanics, explore the kinetics of force plates, measure Ground Reaction Forces (GRF), and compute joint power generation and absorption.

Gait Analysis Course: Move With the Times – Gait Analysis in Clinical Practice

@orthoTV1:08:152,707

Gait Analysis Course: Move With the Times – Gait Analysis in Clinical Practice

Gait analysis is a systematic method for measuring, describing, and assessing human locomotion, divided into two main components: kinematics (the geometry of movement, including joint angular displacements and dynamic alignment in sagittal, coronal, and transverse planes) and kinetics (the physics of movement, involving internal and external moments, power generation, and absorption). Kinematics describes how body segments move during walking, while kinetics explains how forces and moments drive

@orthoTV · 1:08:15

Why this video is valuable

This clinical lecture provides an in-depth guide to modern clinical gait analysis. It breaks down the coordinate geometry of motion (kinematics) alongside the internal/external forces that produce that motion (kinetics), focusing on stance and swing phases.

Knowledge Checkpoint

Break down the standard walking gait cycle into its stance phase (60%) and swing phase (40%), including sub-phases.
Distinguish between gait kinematics (joint angles) and gait kinetics (moments and reaction forces).
Identify common pathological gait patterns (e.g., Trendelenburg gait) based on kinetic imbalances.

Locomotion - Force Plates in Sport & Exercise

@BiomechanicsMMU07:4818,185

Locomotion - Force Plates in Sport & Exercise

Force plates are essential tools for measuring ground reaction forces during human locomotion, but accurate data collection requires careful attention to several practical factors: (1) Speed of locomotion must be precisely controlled and recorded, as it directly affects the magnitude of ground reaction forces; (2) Timing gates with photoelectric cells positioned at appropriate heights (hip height for running, head height for walking) should be used to measure and regulate speed, with trials acce

@BiomechanicsMMU · 07:48

Why this video is valuable

This video details the primary tool used to capture dynamics in sports and rehabilitation science: the force plate. It discusses calibration, target-stepping errors, signal processing, and how piezo-electric or strain-gauge sensors measure ground forces in three dimensions.

Knowledge Checkpoint

Explain the electrical and mechanical principles of how force plates measure vertical, anterior-posterior, and medial-lateral forces.
Define the "Center of Pressure" (CoP) and its importance in postural stability analysis.
List two common errors encountered during clinical force plate trials.

KINETICS VARIABLES (Gait Biomechanics)Physiotherapy Tutorial

@MovementScience811:1919,073

KINETICS VARIABLES (Gait Biomechanics)Physiotherapy Tutorial

Kinetics variables in gait biomechanics include ground reaction force (GRF), which acts at the center of pressure and has vertical and horizontal components; moment (torque), which is a twisting force created by internal (muscles, capsules, ligaments) versus external forces (gravity, inertia, momentum); power generation (concentric contraction where muscle shortens with positive work) versus power absorption (eccentric contraction where muscle lengthens with negative work); and energy measured t

@MovementScience8 · 11:19

Why this video is valuable

This kinetics tutorial covers how Ground Reaction Forces (GRFs) create external turning moments at the ankle, knee, and hip joints. It illustrates how the GRF vector's alignment relative to joint axes changes muscle recruitment patterns throughout the stance phase.

Knowledge Checkpoint

Draw the characteristic "double-bump" curve of the vertical ground reaction force (vGRF) during normal walking and explain what each peak represents.
Define an external joint moment and explain how it differs from an internal muscle moment.
Analyze why knee flexor muscles must activate when the GRF vector passes anterior to the knee joint axis.

GAIT KINETICS -Part 3 (Gait Biomechanics)Physiotherapy Tutorial

@MovementScience818:1016,742

GAIT KINETICS -Part 3 (Gait Biomechanics)Physiotherapy Tutorial

Gait kinetics involves the study of power generation (concentric muscle work) and power absorption (eccentric muscle work) during walking. In the sagittal plane, major concentric work is performed by ankle plantar flexors during push-off, hip extensors during early stance, and hip flexors during early swing. Major eccentric work is performed by knee extensors (quads) for force absorption, plantar flexors during early/mid stance, and hamstrings during swing phase. In the frontal plane, abductors

@MovementScience8 · 18:10

Why this video is valuable

This video covers dynamic power analysis. It teaches you how to evaluate concentric muscle work (which generates movement power) and eccentric muscle work (which absorbs shock and decelerates limbs) across different joint segments during walking.

Knowledge Checkpoint

Define joint power mathematically as the product of joint moment and joint angular velocity ( $P = M \cdot \omega$ ).
Differentiate between power generation (concentric contraction) and power absorption (eccentric contraction).
Trace the transfer of kinetic energy from terminal stance push-off at the ankle to early swing limb acceleration at the hip.

Module 5: Biofluid Mechanics and Computational Modeling

This final module covers advanced biomechanics, exploring both internal fluid behavior (circulatory hemodynamics) and digital simulations. You will study the physics of cardiovascular blood flow, use OpenSim software for musculoskeletal modeling, and apply Finite Element Analysis (FEA) to orthopedic designs.

The Physics of Blood Flow

@10minutephysiology5008:00610

The Physics of Blood Flow

Blood flow follows principles similar to electrical circuits, governed by Ohm's Law of Hemodynamics (Flow = Pressure Difference / Resistance), where resistance is inversely proportional to the fourth power of vessel radius; laminar flow follows Poiseuille's Law (directly proportional to pressure difference and radius^4, inversely proportional to viscosity and length), while turbulent flow occurs when Reynolds number exceeds approximately 2000; cardiac output equals heart rate multiplied by strok

@10minutephysiology50 · 08:00

Why this video is valuable

Applying mechanics to fluids inside biological systems is essential. This high-yield animation explains blood hemodynamics through hydraulic circuit analogs, focusing on pressure differentials, flow resistance, and laminar flow.

Knowledge Checkpoint

State Poiseuille’s Law and explain how vascular radius relates mathematically to fluid flow resistance.
Draw a velocity profile of laminar blood flow in a healthy artery.
Explain how turbulent flow occurs at arterial branching points and its connection to atheroma development.

Hemodynamics

@StrongMed28:0160,872

Hemodynamics

Hemodynamics applies fluid mechanics principles to the cardiovascular system, where pressure (force per unit area), flow (volume per unit time), and resistance are interrelated through fundamental equations. Key concepts include hydrostatic pressure (P = ρgh) for estimating central venous pressure via jugular venous examination, the continuity equation (A₁v₁ = A₂v₂) explaining how blood velocity decreases in capillaries due to increased total cross-sectional area, and Poiseuille's Law showing re

@StrongMed · 28:01

Why this video is valuable

This lecture explains clinical hemodynamics in detail. It connects fluid mechanical properties (viscosity, density, vessel compliance) to patient parameters like blood pressure, mean arterial pressure, and total peripheral resistance.

Knowledge Checkpoint

Solve basic hemodynamics problems using the fluid analog of Ohm's Law: $Q = \Delta P / R$ .
Calculate blood viscosity changes (rheology) as hematocrit levels fluctuate.
Describe vascular compliance and how arteriole hardening alters arterial pressure waves.

ESB Webinar Series – No.02 -Jumping into Musculoskeletal Modeling with OpenSim

@ESBiomech55:2220,411

ESB Webinar Series – No.02 -Jumping into Musculoskeletal Modeling with OpenSim

OpenSim is an open-source software platform for musculoskeletal modeling and simulation that enables researchers to analyze human and animal movement through a pipeline involving inverse kinematics (computing joint angles from motion capture data), inverse dynamics (estimating forces and moments), and static optimization (solving muscle redundancy to determine muscle activations). The software supports both GUI-based workflows and MATLAB/Python scripting, with applications ranging from assistive

@ESBiomech · 55:22

Why this video is valuable

This presentation from the European Society of Biomechanics introduces OpenSim, the gold-standard open-source platform for musculoskeletal modeling. It covers model scaling, inverse kinematics, static optimization, and forward dynamics simulations of human movement.

Knowledge Checkpoint

Outline the pipeline for converting raw motion-capture data into joint angles using inverse kinematics in OpenSim.
Explain why static optimization is necessary to estimate individual muscle forces from joint moments.
List two research and development use cases for digital skeletal simulations (e.g., prosthetic design, robotic surgery).

FEBio Multi-Step Analysis Tutorial Walkthrough

@engineer_james21:15489

FEBio Multi-Step Analysis Tutorial Walkthrough

Multi-step analysis in FEBio enables more realistic and stable finite element simulations by dividing complex loading scenarios into sequential phases; this approach addresses convergence issues with large deformations or hyperelastic materials by gradually applying loads (using time stepping and load controllers) and refining mesh resolution in critical regions (such as near fixed boundaries), ultimately producing accurate stress distributions and dynamic responses that would be difficult to ac

@engineer_james · 21:15

Why this video is valuable

Review Feedback Note: To address the gap in orthopedic FEA tutorials, this video focuses on FEBio (Finite Elements for Biomechanics), a customized nonlinear finite element solver designed specifically for biological tissues. This video demonstrates how to set up multi-step loads on complex models to ensure stable cartilage and bone contact calculations.

Knowledge Checkpoint

Explain how Finite Element Analysis (FEA) discretizes complex biological structures into simpler mathematical nodes.
Set up boundary conditions and loading phases in FEBio for simulating compression on a joint contact surface.
Describe the primary difference between modeling non-biological structures (e.g., structural steel) and biological tissues (e.g., highly deformable, nonlinear cartilage).

Course Map

Key People Index

Sir Isaac Newton (1642–1727): Developed the three foundational laws of motion ( $F=ma$ ) and gravity, which serve as the mathematical framework for all modern rigid-body kinesiology.
Julius Wolff (1836–1902): A German surgeon who formulated Wolff's Law, stating that healthy bone adapts and self-remodels in response to the mechanical loads placed upon it.
Jean Léonard Marie Poiseuille (1797–1869): A French physicist who formulated Poiseuille's Law, which describes laminar fluid flow through cylindrical tubes—the foundation of cardiovascular hemodynamics.
Dr. Scott Delp (Stanford University): Lead researcher behind the development of the OpenSim platform, bringing computational musculoskeletal modeling and simulation to clinical researchers worldwide.

Final Self-Assessment

Complete this comprehensive self-assessment to verify your mastery of the material before finishing the course:

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