Chapter 3 Biomechanics
Newton's second law! Law of acceleration
a change in the acceleration of a body occurs in the same direction as the faucet that caused it. the change in acceleration is directly proportional to the force causing it and inversely proportional to the mass of the body
as the force arm becomes longer,
a decreasing amount of force is required to move a relatively larger resistance
first class levers: if the force arm and the resistance arm are equal in length,
a force equal to the resistance is required to balance it.
wheels and axles function essentially as
a form of a lever
8) rotation about an axis aids balance
a moving bike is easier to balance than a stationary bike
a relatively smaller force may be applied to the wheel to move
a relatively greater resistance applied to the axle
in second class levers a large resistance can be moved by
a relatively small force
lever
a rigid bar that turns about an axis of rotation or a fulcrum
musculoskeletal system may be through of a as
a series of simple machines
to attain speed in moving the body,
a strong muscular force is generally necessary
balance:
ability to control equilibrium, either static or dynamic
to prevent injury or damage from tissue deformation the body must be used to
absorb energy from both internal and external forces
displacement:
actual distance that the object has been displaced from its original point of reference
distance:
actual sum length of measurement traveled
dynamic equilibrium:
all applied and inertial forces acting on the moving body are in balance, resulting in movement with unchanging speed or direction
statics involves
all forces acting on the body being in balance resulting in the body being in equilibrium
mass:
amount of matter in the body
in objects without a fixed axis it is
an applied force that is not in line with object's center or gravity
for rotation to occur what type of force must be applied?
an eccentric force
if either of the resistance components increase, there must be a/an (decrease/increase) in one or both of force components.
an increase
as the force arm becomes shorter,
an increasing amount of force is required to move a relatively smaller resistance
how are linear and angular motion are related in the body?
angular motion of the joints produces the linear motion of walking
shoveling-
application of lifting force to a shovel handle with lower hand while upper hand on shovel handle serves as axis of rotation
the longer the lever, from the natural body length of the body movement to the extended backward position, the greater will be the
arc through which it accelerates and thus the greater the speed imparted to the thrown object
if the radius of the wheel is 5 times the radius of the axle, then outside of the wheel with turn
at a speed of 5 times that of the axle
both the wheel and the axle complete the turn
at the same time
in the body joints represent what part of the lever?
axes
1st class lever
axis between the force and resistance FAR
humerus acts as the
axle
why can a tennis player hit a tennis ball harder with a straight arm drive than with a bent elbow?
because the lever (including the racket) is longer and therefore moves at a faster speed
why is the pull on the ulna considered direct and true?
because the ulna cannot rotate
static equilibrium:
body is at rest or completely motionless
what is an example of true 3rd class leverage?
brachialis
resistance application
center of gravity of lever or location of external resistance
single pulleys function to
change effection direction of force application
angular displacement:
change in location of a rotating body
first class lever systems produce force motion when axis is
close to resistance (crowbar)
first class levers produce speed and range or motion when axis is
close to the force (triceps in elbow extension)
any activity carried out at a steady pace in a consistent direction will
conserve energy
kinematics
description of motion and includes consideration of time, displacement velocity, acceleration, and space factors of a system's motion
stability is enhanced by
determining body's center of gravity and appropriately changing it
in the law of acceleration the change in acceleration is ____ proportional to the price causing it and _____ proportional to the mass of the body.
directly, inversely
resistance arm:
distance between the axis and the point of resistance application
linear displacement:
distance that a system moves in a straight line
in humans, contracting muscle applies what type of force to bone upon which it attaches?
eccentric force (not to be confused with eccentric contraction)
brachialis pulls on the ulna just below the
elbow
wheels and axles are used primarily to
enhance range of motion and speed of movement in the musculoskeletal system
6) in anticipation of an oncoming force, stability may be increased by
enlarging the size of the base of support in the direction of the anticipated force
using the lateral malleolus as a pulley, force is transmitted to the plantar aspect of the foot resulting in
eversion/plantar flexion
stronger and healthier tissues are more likely to withstand
excessive mechanical loading and the resultant excessive tissue deformation
tissue deformation may result from
external forces, but can result from internally generated forces
true or false: levers can be changed.
false. levers can not be changed, but they can be utilized more efficiently
the greater the force (mass x acceleration) that a person can produce, the
faster the arm will move, and thus the greater the speed that will be imparted to the ball
there are (few/many) 2nd class levers in the body
few
the biceps brachia supinates the forearm as it
flexes
Newton's third law! law of reaction:
for ever action there is an equal and opposite reaction
human leverage system is built for speed and range of movement at the expense of
force
motion cannot occur without
force
levers rotate about an axis as a result of _____ being applied to cause its movement against a _______.
force (effort, E), resistance
impulse in the product of
force and time
eccentric force:
force applied in direction not in line with the center of rotation of an object with a fixed axis
both the radius of the wheel and the radius of the axle correspond to the
force arms
3rd class lever
force between axis and resistance AFR
the greater the mass, the more
force needed to significantly change an objects inertia
friction:
force that results from the resistance between surfaces of two objects from moving up one another
to determine the amount of friction forces consider both
forces pressing the two objects together and the coefficient of friction
7) equilibrium may be enhanced by increasing the
friction between the body and the surfaces in contacts
with slick ground or shoe surface friction is (reduced/increased) and we are more likely to slip
friction is reduced
kinetic friction:
friction occurring between two objects that are sliding upon one another
ther center of the wheel and the axle both correspond to the
fulcrum
external forces are produced from outside the body and originate from
gravity, inertia or direct contact
internal rotators attaching to the humerus resulting in
greater range of motion and speed
force of the surface eating to the force we place on it is called
ground reaction force
if the radius of the wheel is 5 times the radius of the axle, then the wheel
has a 5 to 1 mechanical advantage over the axle
4) a person has balance, depending on the
height of the center of gravity -the lower the center of gravity, the more balance
speed:
how fast an object is moving or distance that an object moves in a specific amount of time
balance:
important in resting and moving bodies
momentum may be altered by
impulse
when do we desire decreased friction?
in skating so that we may slide across the ice with less resistance
velocity:
includes the direction and describes the rate of displacement
pulleys may be combined to form compound pulleys to
increase mechanical advantage
static friction may be increased by
increasing the normal or perpendicular forces pressing the two objects together such as in adding more weight one object sitting on the other object
what may cause these loads?
internal or external forces
what type of relationship is between the length of the lever arms?
inverse relationship -between force and force arm -between resistance and resistance arm
as peroneus longus contracts,
it pulls towards its belly (toward the knee)
what is an example of a pulley in the human body?
lateral malleolus acting as a pulley around which tendon of preens longus runs
which one of newton's laws is in effect with the muscular force necessary to accelerate the arm, wrist, and hand.
law of acceleration
in throwing, the individual's inertia and the ball's inertia must be overcome by the application of force. which of newton's laws is this?
law of inertia
rolling friction is always much (less/more) than static or kinetic friction
less
the longer the force arm, the (less/more) force required to move the lever if the resistance and the resistance arm remain constant.
less
triceps force arm is
less than 1 inch
what is the most common type of machine?
levers
in throwing, the angular motion of the levers (bones) of the body (trunk, shoulder, elbow and wrist) is used to give
linear motion to the ball when it is released
greater force or force arm allows a greater amount of resistance to be moved or a (shorter/longer) force arm to be used.
longer
greater resistance or resistance arm requires (shorter/longer) force arm.
longer
many activities, particularly upper extremity, require a summation of forces from the beginning of movement in the
lower segment of the trunk and movement at the shoulder, elbow and wrist joints
momentum is equal to
mass X velocity
resistance can vary from
maximal to minimal
strong muscle are able to produce more force than weak muscles both
maximum and sustained exertion over a period of time
what are the two equations for determining mechanical advantage?
mechanical advantage = resistance/ force or mechanical advantage= length of force arm/ length of resistance arm
what is another name for torque?
moment of force
shortening the resistance arm allows (less/more) resistance to be moved if force and force arm remain constant.
more
the greater the distance of the force arm, the (less/more) torque produced by the force.
more
curvilinear motion:
motion along a curved line
linear motion:
motion along a line
rectilinear motion:
motion along a straight line
short force arms and long resistance arms require great muscular strength to produce
movement
amount of torque is determined by
multiplying the amount of force (force magnitude) by the force arm
interntal force can only be activated by
muscles
what is the main source of force in the body?
muscles
what is the source of force in the human body?
muscular system
without forces acting on an object there would be
no motion
the body from the feet to the fingers can be considered as
one long lever
the reluctant to change status;
only force can change status
hand and wrist are located
outside of the wheel when the elbow is flexed 90 degrees
force arm:
perpendicular distance between location of force application and axis
what is an example of a second class lever system in the body?
plantar flexion of the foot to raise the body up on the toes
center of gravity:
point at which all of the body's mass and weight are equally balanced or equally distributed in all directions
axis
point of rotation about which lever moves
force:
produce of mass times acceleration
what is good about third class levers?
produce speed and range of motion in the body
what type of relationship is found between force components and resistance components?
proportional relationship
forces either
push or pull on an object in an attempt to affect motion or shape
what is an example of a 2nd class lever?
push up
what is another term for momentum
quantity of motion
mechanical advantage =
radius of the wheel/radius of the axle
we provide the action force while the surface provides the
reaction force
2nd class lever
resistance between axis and force ARF
in human movement, inertia refers to
resistance to acceleration or deceleration
inertia:
resistance to action or change
rolling friction:
resistance to an object rolling across a surface such as a ball rolling across a court or a tire rolling across the ground
the greater the momentum, the greater the
resistance to change in the inertia or state of motion
force x force arm =
resistance x resistance arm
what is another name for angular motion?
rotary motion
applying an eccentric force to a bone causes the bone to
rotate about an axis at the joint
balance or equilibrium is a factor in throwing when the body is
rotated posteriorly in the beginning of the throw
angular motion:
rotation around an axis
using the elbow joint as the axis, the biceps brachia applies force at its insertion on radial tuberosity to perform what action?
rotation of the forearm
what type of lever system is a push up?
second class, due to the axis being at the hand and the retsinas is body weight at the elbow joint
human leverage for sport skills requires
several levers
for quickness, it is desirable to have a
shorter lever arm
throwing a ball involves levers at
shoulder, elbow & wrist joints
body motion is produced or started by
some action of muscular system
it is advantageous to absorb force over later aspects of our body rather than smaller and to
spread the absorption rate over a greater period of time
to control equilibrium and achieve balance, ____ needs to be maximized.
stability
equilibrium:
state of zero acceleration where there is no change in the speed or direction on the body -static or dynamic
which is always greater static or kinetic friction?
static friction is always greater than kinetic friction -it is always more difficult to initiate dragging an object across a surface than to continue dragging
kinetics
study of forces associated with the motion of a body
mechanics:
study of physical actions of forces
dynamics
study of systems in motion with acceleration
statics:
study of systems that are in a constant state of motion, whether at rest with no motion or moving at a constant velocity without acceleration
short levers are advantageous in
taking less total time to release the ball
what in the body may generate passive internal forces
tension in tendons, connective tissues, ligaments and joint capsules
static friction:
the amount of friction between two objects that have no yet begun to move
mass:
the amount of matter in the body
first class levers produce balanced movements when
the axis is midway between the force and resistance (seesaw)
in the body bones represent what part of the lever?
the bars
5) a person has balance, depending on where the center of gravity is in relation to
the base of support -balance is less if the center of gravity is near the edge of the base -when anticipating an oncoming force, stability may be improved by placing the center of gravity nearer the side of the base of support expected to receive the force
biomechanics is necessary to study
the body's mechanical characteristics & principles to understand its movements
general factos applicable to enhancing equilibrium, maximizing stability, an ultimately achieving balance: 1) a person has balance when
the center of gravity falls within the base of support
what happens when the applied force exceed the amount of forearm resistance in an elbow?
the elbow extends
force equation in throwing a ball
the force applied to the ball is equal to the weight of the arms times the speed of acceleration of the arm
the greater the object's mass,
the greater its inertia
the longer the lever,
the greater the speed that can be imparted to the ball
depends upon
the hardness and roughness of the surface textures
example of a first class lever
the head balancing on the neck in flexing/extending -agonist and antagonist muscle groups are contracting simultaneously on either side of the joint axis -agonist produces force while antagonist supplies resistance
the reason of the feet against the surface on which the subject stands applies which law?
the law of reaction
the longer the lever,
the more effective it is in imparting velocity
when either the wheel or axle turn,
the other must turn as well
axis/fulcrum
the point of rotation
you calculate the mechanical advantage of the wheel and axle by considering
the radius of the wheel over the axle
acceleration:
the rate of change in velocity
coefficient of friction:
the ratio between force needed to overcome the friction over the force holding the surfaces together
the force arm can be described as
the shortest distance from axis of rotation to the line of action of the force
2) a person has balance in the direction proportion to
the size of the base -the larger the base of support, the more balance
mass affects
the speed and acceleration in physical movement
biomechanics:
the study of mechanics as it relates to the functional and anatomical analysis of biological systems, especially humans.
as we place force on a surface by walking over it,
the surface provides an equal resistance back in he opposite direction to the soles of our feet
significant mechanical loads are generated and absorbed by
the tissues of the body
what is torque?
the turning effect of an eccentric force
force equation
the weight of a body segment or the entire body X the speed of acceleration force= M x a
if the wheel raids is greater than the radius of the axle, then, due to the longer force arm,
the wheel has the mechanical advantage over the axle
if application of force is reversed and applied to the axle, then the mechanical advantage results from
the wheel turning a greater distance and speed
why do long levers produce better performance in sports?
they produce more linear force
what is the most common lever in the body?
third class levers
why do muscles contract?
to apply force
what are machines used for?
to increase mechanical advantage
Often, we purposely increase force arm length in order to increase torque so that we can more easily move a relatively large resistance. what is the purpose of this?
to increase our leverage
often, we purposely increase force arm length in order to increase _____.
torque
what is another name for linear motion?
translatory motion
what is an example of a 1st class lever?
triceps extension
true or false: Biceps brachii supinates forearm as it flexes so its 3rd class leverage applies to flexion only
true
true or false: all tissues, in varying degrees, resist changes in their shape
true
brachialis pulls on the
ulna
a system in acceleration is unbalanced due to
unequal forces acting on the body
what is the axis of rotation in the body?
various joints
any irregularly paced or directed activity will be
very costly to energy reserves
3) a person has balance depending on the
weight (mass) -the greater the weight, the more the balance
tendency for the current state of motion to be maintained, regardless of
where the body segment is moving at a particular velocity or is motionless
where is the force applied on a muscle?
where the muscle inserts in bone, not in the belly of muscle
force of application
(usually muscle insertion) effort
the force arm can also be known as
-moment arm -torque arm
what is an example of a third class lever?
-paddling a boat -shoveling -biceps brachii in elbow flexion
what are the two types of friction?
-static -kinetic
excessive tissue deformation due to mechanical loading may result from
-tension (stretching or strain) -compression -shear -bending -torsion (twisting)
9) kinesthetic physiological functions contribute to balance
-the semicircular canals of the inner ear, vision, touch (pressure) & kinesthetic sense all provide balance information to the performer -balance and its components of equilibrium and stability are essential in all movements and are all affected by the constant force of gravity as well as by inertia
what are some examples of second class levers?
-wheelbarrow -nutcracker -loosening a lug nut -raising the body up on the toes
each additional rope increased mechanical advantage by
1
what is the mechanical advantage of single pulley?
1
biceps force arm is
1 to 2 inches
what are the components of the third class lever system in elbow flexion at the biceps brachii (AFR)?
A= elbow joint F=biceps brachia applies force at its insertion on the radial tuberosity R=center of gravity serving as the point of resistance application
what are the components of the lever system (A, F, R) in plantar flexion?
A=ball of the foot F=plantar flexors apply force to the calcaneus R=tibial articulation with the foot
newton's first law! law of inertia
-a bod yin motion tends to remain in motion at the same sped in a straight line unless acted on by a force; a body at rest tends to remain at rest unless acted on by a force -muscles produce force to start, stop, accelerate, decelerate & change the direction of motion
there are three points that determine the type of lever and for which kind of motion it is best suited, what are these three points?
-axis -force application -resistance application
stability is the stability to a
-change in the body's acceleration -disturbance of the body's equilibrium
internal forces can
-fracture bones -dislocate joints -disrupt muscles & connective tissues
what are two other examples of third class levers?
-hamstrings contracting to flex leg at knee while in a standing position -using iliopsoas to flex thigh at hip
what are the three machine types not found in the body?
-inclined plane -screw -wedge
musculoskeletal sytem arrangement provides for 3 types of machines in producing movement:
-levers -wheel and axles -pulleys
what are the two types of motion?
-linear motion -angular motion
mechanical advantage
-load/effort or load divided by effort -ideally using a relatively small force, or effort to move a much greater resistance
machines function in 4 ways:
1) balance multiple forces 2) enhance force in an attempt to reduce total force needed to overcome a resistance 3) enhance range of motion & speed of movement so that resistance may by moved further or faster than the applied force 4) alter resulting direction of the applied force
what are the two divisions of mechanics?
1) statics 2) dynamics
the distance that the outside of the wheel turns will be
5 times that of the outside of the axle