Biomechanics Notes - Chapter 3 PDF

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University of Cincinnati

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biomechanics human movement mechanics engineering

Summary

This document provides an overview of biomechanics concepts, covering definitions of key terms and concepts like kinematics, kinetics, and levers. It elaborates on the application of biomechanical principles. The document serves as study notes.

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Chapter 3 **Biomechanics Notes** **Definition of Biomechanics** - Study of mechanics as it relates to the functional and anatomical analysis of biological systems, especially humans. - Applies physics, laws of motion, and forces to understand human movement. **Two Major Areas of Bio...

Chapter 3 **Biomechanics Notes** **Definition of Biomechanics** - Study of mechanics as it relates to the functional and anatomical analysis of biological systems, especially humans. - Applies physics, laws of motion, and forces to understand human movement. **Two Major Areas of Biomechanics** 1. **Kinematics**: Describes motion (movement details). - Time: How long it takes to move. - Displacement: How far you move. - Velocity: How fast you move. - Acceleration: How quickly movement changes. - Spatial factors: How motion occurs in space. 2. **Kinetics**: Studies forces causing motion. - Ground reaction forces (e.g., through force plates). **Biomechanics Labs and Motion Analysis** - **Motion Capture (Kinematics)**: - Infrared reflective markers track body segments in 3D space. - Captures displacement, velocity, and acceleration. - **Force Plates (Kinetics)**: - Measure ground reaction forces in vertical and horizontal planes. **Machines in Biomechanics** - Provide **mechanical advantage**: - **Force advantage**: Small input force moves a larger resistance (e.g., car jack, breaker bar). - **Displacement advantage**: Small input movement causes a larger movement (e.g., casting a fishing rod). - **Musculoskeletal System as Machines**: - Bones, joints, and muscles work as simple machines to balance forces and alter their direction. **Types of Machines in the Human Body** 1. **Levers**: Most common. 2. **Wheel and Axles**: Alter force direction and provide leverage. 3. **Pulleys**: Alter force direction, e.g., tendons acting over joints. *Note*: The body does not have inclined planes, screws, or wedges. **Levers in the Human Body** - **Components**: 1. **Force**: Input applied (e.g., muscle contraction). 2. **Axis (Fulcrum)**: Pivot point for rotation (e.g., joint). 3. **Resistance**: Load or weight moved by the force. - **Classes of Levers**: 4. **First-Class Lever**: - Axis is between force and resistance. - Example: Seesaw, neck extension. 5. **Second-Class Lever**: - Resistance is between axis and force. - Example: Wheelbarrow, standing on toes. 6. **Third-Class Lever**: - Force is between axis and resistance. - Example: Bicep curl, most body movements. **Action Steps for Study** - Draw and label diagrams for first-, second-, and third-class levers. - Familiarize yourself with examples of levers in the body. - Focus on the relationship between force, axis, and resistance for each class. **Levers** **Key Concepts** - A **lever** consists of a **force**, **axis (fulcrum)**, and **resistance** arranged in different orders, defining the class of lever. - **Mechanical advantage (MA)** = Length of force arm ÷ Length of resistance arm. - Determines how much force is required to balance or move a resistance. **Torque** - **Torque** = Force × Distance from the axis (moment arm). - Torque causes rotational movement around the axis. **Classes of Levers** 1. **First-Class Levers** - Axis is between force and resistance (e.g., seesaw, scissors). - Purposes: Balance, speed, or range of motion, depending on axis placement. - Example in the body: Head balanced on the neck (e.g., nodding). - Agonist and antagonist muscles stabilize the head. 2. **Second-Class Levers** - Resistance is between axis and force (e.g., wheelbarrow). - **Purpose**: Force advantage (move a large resistance with a smaller force). - Example in the body: Raising the body onto the toes. - Axis: Ball of the foot, Resistance: Body weight, Force: Calf muscles. - Rare in the human body. 3. **Third-Class Levers** - Force is between axis and resistance (e.g., rowing, shoveling). - **Purpose**: Speed and range of motion at the expense of force. - Example in the body: Bicep curl. - Axis: Elbow joint, Force: Biceps, Resistance: Weight in hand. - Most common lever type in the body. **Human Body Leverage System** - Built for **speed and range of motion**, not force. - Force arms in the body are typically short compared to resistance arms. - Muscles need significant strength to move long resistance arms (e.g., forearms). **Pulleys** **Key Concepts** - **Pulleys** redirect force and can increase mechanical advantage in multi-pulley systems. - **Mechanical Advantage** = Number of ropes supporting the load. - Single pulley: Changes direction of force, MA = 1. - Multiple pulleys: Increases MA (e.g., gym equipment with cables). **Pulley Example in the Body** - **Lateral malleolus** (ankle bone): Acts as a pulley for the **peroneus longus tendon**. - Function: Transmits force to the plantar aspect of the foot, allowing for eversion and plantarflexion. **1. Motion and Force** - Motion (movement) cannot occur without force. - **Types of Force:** - **Internal Force:** Muscle contractions (from the muscular system). - **External Force:** Interaction with external objects (e.g., being pushed, or objects colliding). **2. Types of Motion** - **Linear Motion:** Movement in a straight line. - **Angular Motion:** Rotational movement (e.g., a wheel turning). - Angular motion creates linear motion at the outer edges of the rotating object (e.g., a rock flung from a wheel). - **Relation Between Angular and Linear Motion:** - Angular motion at joints (e.g., hip/knee flexion and extension) generates linear motion (e.g., walking). - Larger radii (e.g., longer limbs or tools) produce greater linear velocity when angular motion occurs. **3. Examples of Angular and Linear Motion in Action** - Windmill blades: Longer blades produce higher linear velocity despite the same angular velocity. - Tools and equipment: - Long golf clubs = faster ball velocity. - Short golf clubs = slower ball velocity. - Vehicles: Larger wheels cover more ground per rotation than smaller wheels. **4. Newton\'s Laws of Motion** - Applicable to all linear and angular motion in biomechanics, sports, and physical activities. **Law 1: Law of Inertia** - **Definition:** - A body in motion stays in motion, and a body at rest stays at rest unless acted upon by an external force. - **Applications:** - Muscles generate force to overcome inertia (e.g., starting/stopping motion, accelerating, decelerating). - Examples: - Skier maintains trajectory until a force acts (e.g., wind resistance, friction). - Bowling ball rolls steadily on a slick floor unless force is applied. - **Mass and Inertia:** - Greater mass = greater inertia (more force required to change motion). - **Practical Examples:** - Sprinter overcoming resting inertia in starting blocks. - Slowing down a fast-moving object (e.g., stopping a ball). **Law 2: Momentum and Impulse** - **Momentum (p):** Quantity of motion = Mass × Velocity. - Greater momentum = Greater resistance to changes in motion. - Example: A larger, faster-moving object has more momentum than a smaller, slower one. - **Impulse:** - Impulse = Force × Time. - A force applied over time changes momentum. - **Applications of Impulse:** - Kicking a ball: The foot delivers an impulse, changing the ball\'s momentum. - Catching a ball: Extending arms slows down the ball gradually, reducing the force felt. - Helmets: Padding increases time of impact, reducing impulse on the skull. **Other Related Concepts:** - Reducing impulse to minimize impact: - Catching techniques (e.g., bringing arms inward when catching). - Protective equipment (e.g., helmet padding, Guardian caps for NFL players). **Summary of Key Biomechanics Applications** - **Angular Motion → Linear Motion Coupling:** - Seen in walking, running, tool usage, and equipment design. - **Newton's Laws of Motion:** - Inertia and momentum explain motion dynamics and resistance. - Impulse describes how forces modify motion. - **Practical Insights:** - Leverage force and radius for better efficiency in sports and physical tasks. - Use biomechanics principles to improve safety and reduce injury. **Newton's Second and Third Laws, Acceleration, Friction Notes** **Newton's Second Law: The Law of Acceleration** 1. **Definition of Acceleration**: - Acceleration is the change in velocity (not speed). - Positive or negative (e.g., braking = acceleration in the opposite direction of velocity). 2. **Key Concepts**: - **Equation**: Acceleration a=Fma = \\frac{F}{m}a=mF​ (Force divided by Mass). - Acceleration is: - **Directly proportional** to the force applied. - **Inversely proportional** to the mass of the object. - Larger mass requires more force to accelerate; smaller mass is easier to accelerate. 3. **Applications**: - Movement is rarely constant speed; it typically involves acceleration. - Example: A strong person pushing a heavy truck applies significant force, but the large mass limits acceleration. 4. **Muscular Force**: - High force is required to accelerate larger masses (e.g., big person reaching high speeds needs substantial effort). **Newton's Third Law: The Law of Reaction** 1. **Definition**: - For every action, there is an equal and opposite reaction. 2. **Applications**: - **Ground Reaction Force**: - Key to movement (walking, running, jumping). - The force exerted by the ground in response to the force applied by your feet. - Hard surfaces provide higher ground reaction force; soft surfaces (e.g., sand) provide less resistance. - Example: Walking on sand is harder because lower ground reaction force reduces propulsion. **Friction in Motion** 1. **Definition**: - Friction is the resistance between two surfaces in contact. 2. **Types of Friction**: - **Static Friction**: - Resistance between objects not yet moving. - Always **greater than kinetic friction**. - **Kinetic Friction**: - Resistance during motion between surfaces. 3. **Examples**: - **Static Friction**: - Pushing a sled: High initial force needed to start moving (overcoming static friction). - **Kinetic Friction**: - Once the sled moves, less force is required to keep it in motion. 4. **Factors Affecting Friction**: - **Surface Texture**: - Rougher surfaces = more friction. - Smoother surfaces (e.g., turf) = less friction. - **Normal Force**: - Increasing perpendicular force (e.g., coach standing on a sled) increases friction. - **Coefficient of Friction**: - Ratio describing the force required to overcome friction compared to the force holding surfaces together. 5. **Rolling Friction**: - Resistance of a rolling object (e.g., tires or balls) on a surface. - **Lower** than static or kinetic friction. **Summary Points:** - **Acceleration**: Change in velocity due to force; harder with higher mass. - **Reaction Forces**: Opposite and equal forces allow movement (e.g., ground reaction force). - **Friction**: - Static \> Kinetic. - Rolling friction is minimal compared to sliding friction. - Surface texture and applied force impact the frictional force.

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