chapter 12 linear motion

Page 1: Introduction

  • Presenter: Tyler Hosey

  • Institution: University of South Florida

Page 2: Lecture Overview

  • Focus on aspects of Force:

    • Magnitude, direction, and point of application

    • Internal and external forces in the body

  • Definitions:

    • Inertia, momentum, and impulse

    • Relation to Newton’s Laws of Motion

  • External factors modifying motion:

    • Weight, friction, elasticity, buoyancy, drag, lift

  • Definitions of work, power, energy

  • Analysis of Linear Motion

Page 3: Understanding Force

  • Definition of force:

    • A push or pull

  • Effects of forces:

    • Produce, stop, prevent motion

    • Influence one body upon another

  • Characteristics:

    • Has both magnitude and direction

Page 4: Force Example

  • Example:

    • A barbell exerts 250 N of force

    • Lifter must apply a force greater than 250 N upwards at the center of gravity

Page 5: Aspects of Force

  • Force as a vector quantity:

    • Must identify magnitude, direction, point of application

Page 6: Magnitude of Force

  • Magnitude defined:

    • Amount of force applied

  • Weight definition:

    • Result of gravity on mass: w = mg

  • Example:

    • The 250 N force from the barbell = weight

Page 7: Magnitude of Muscular Force

  • Factors affecting muscular force:

    • Number and size of contracting fibers

  • Muscles act collectively:

    • Maximum strength measured by dynamometer through anatomical levers

Page 8: Direction of Force

  • Direction explained:

    • Along the action line of the force

  • Gravity direction:

    • Downward vector from the center of gravity

  • Muscular force direction:

    • Direction of the muscle's line of pull

Page 9: Direction of Muscular Force Vector

  • Muscle angle of pull:

    • Angle between the line of pull and the mechanical axis of the bone

Page 10: Point of Application

  • Definition of point of application:

    • Where force is applied to an object

  • Gravity's point:

    • Through the center of gravity

  • Muscular force point:

    • Muscle attachment to a bony lever, linking to mechanical axis

Page 11: Nature of Force

  • Definition:

    • Push or pull that induces motion changes

  • Internal forces:

    • Muscle forces on body structures

  • External forces:

    • Outside influences (gravity, air/water resistance, friction)

Page 12: Newton’s Laws of Motion

  • Three laws explaining object motion:

    • Law of Inertia

    • Law of Acceleration

    • Law of Reaction

Page 13: Law of Inertia

  • Stipulations:

    • Object remains at rest or in uniform motion unless acted upon by an unbalanced force

    • Friction & air resistance affect motion

  • Inertia definition:

    • Property keeping object in state of rest/motion

Page 14: Law of Inertia

  • Summary:

    • Object stays at rest/motion until unbalanced force acts

  • Mass and inertia:

    • Greater mass = greater inertia

Page 15: Law of Acceleration

  • Definitions:

    • Acceleration: directly proportional to force and inversely proportional to mass

  • Equation:

    • F = ma

  • Effect of force and mass on acceleration:

    • More force = more acceleration

    • More mass = less acceleration

Page 16: Momentum

  • Definition of momentum:

    • Net force multiplied by time

  • Formula:

    • F = m x a

  • Increase in momentum:

    • By increasing mass, velocity, or both

  • Relation to deceleration:

    • Harder to decelerate with greater momentum

Page 17: Impulse

  • Definition of impulse:

    • Net force multiplied by time, leading to change in momentum

  • Relation:

    • F = m x a

  • Greater force or time increases impulse

Page 18: Law of Reaction

  • Principle:

    • For every action, there is an equal and opposite reaction

Page 19: Summation of Forces

  • Muscle-generated force can be summed from segment to segment

  • Momentum can be increased or decreased by changes in mass or velocity

  • Principle of conservation of momentum:

    • Impulse increases momentum, typically through sequential transfers in movements

Page 20: Factors Modifying Motion

  • Forces affecting motion:

    • Weight, Contact Forces, Ground Reaction Force (Newton’s 3rd Law)

    • Friction, Fluid Forces, Buoyancy, Drag, Lift

Page 21: Weight

  • Definition:

    • Measured as the weight of the body through its center of gravity towards the earth

Page 22: Ground Reaction Force

  • Reaction to action:

    • Jumper pushes off ground; ground pushes back

Page 23: Friction

  • Definition:

    • Opposes attempts to slide/roll

  • Influence on performance:

    • Can be increased or decreased based on objectives

Page 24: Friction Details

  • Characteristics of friction:

    • Proportional to force pressing surfaces together

    • Acts parallel to surfaces against motion

    • Variables include weight and reactive forces

Page 25: Elasticity

  • Definition:

    • Object's ability to resist distortion and return to original shape

  • Stress vs. Strain definitions:

    • Stress: force on an object

    • Strain: distortion of the object

Page 26: Buoyancy

  • Archimedes’ Principle:

    • Solid immersed in liquid is buoyed up by a force = weight of the displaced liquid

Page 27: Lift and Drag

  • Fluid resistance concepts:

    • Can create lift or drag

  • Importance of boundary layer and object design

Page 28: Work

  • Definition:

    • Product of force and distance

  • Formula:

    • W = Fs

  • Common units:

    • Newton-meters in SI; foot-pound in US system

Page 29: Work Example

  • Example calculation:

    • Work done lifting a suitcase against gravity

    • Horizontal distance is not significant for work calculation

Page 30: Positive & Negative Work

  • Definitions:

    • Positive work: done in direction of movement

    • Negative work: done against direction of movement

Page 31: Power

  • Definition:

    • Rate at which work is done

  • Formulas:

    • P = Fs / t, P = W / t, P = Fv

Page 32: Energy

  • Definition:

    • Capacity to do work

  • Law of Conservation of Energy:

    • Total energy in an isolated system remains constant

Page 33: Mechanical Energy

  • Classifications of mechanical energy:

    • Potential Energy (PE = mgh)

    • Kinetic Energy (KE = 1/2 mv²)

Page 34: Analysis of Linear Motion

  • Principles for analyzing linear motion involve:

    • Identifying forces like weight, buoyancy, propulsive forces, drag, ground reaction forces, lift, and friction

Page 35: Lecture Review

  • Overview of key topics:

    • Aspects of Force, Inertia, Momentum, Impulse, External factors,

    • Work, Power, Energy

    • Analysis of Linear Motion

Page 36: Conclusion

  • End of presentation

  • University of South Florida.