Muscle & Body Biomechanics
MUSCLE FIBER ARRANGEMENT
EFFECT ON STRENGTH
The amount of force that a muscle can generate is proportional to the cross-sectional area of muscle fibers (a.k.a. muscle cells) attaching to its tendon, i.e., the number of contractile proteins (actin and myosin) pulling on the tendon and contributing to
muscle force.
• pennation design increases the number of muscle fibers (cross sectional area) attached to the tendon
• since force is a function of cross sectional area - a pennated muscle can generate more force than a comparable muscle with parallel fibers.
EFFECT ON SHORTENING
In this example, again consider two muscles - one with parallel fibers the other pennate
Assume each muscle fiber will contract to 50% of its resting length
Therefore:
• with parallel-arranged muscle fibers the entire muscle can contract by 50%
• with the pennate arrangement each individual muscle fiber is pulling at an angle, resulting in reduced overall shortening of the entire muscle belly.
DEFINITIONS:
LINEAR FORCE:
Force can be broken down into various vectors.
• Vertical vectors (e.g. the downward forces due to body weight and the upward forces of the supporting surface)
• Horizontal vectors (e.g. forces exerted to propel forward and
backward forces to brake forward motion)
With adequate force and friction (traction) the body can propel itself forward. (practical application dictates a need for good traction to allow this forward motion – whoa to those leading a horse on ice)
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ROTATIONAL FORCE (TORQUE)
Rotational force = force (F) x distance from fulcrum (d)
Limb rotation = muscle force (F) x distance from joint (d)
Torque input (muscle generated) = torque output (limb movement)
Muscles generate forces which when applied to the skeleton will generate rotation about a joint.
MUSCLE ATTACHMENT EFFECTS
The location of the muscle attachment (e.g. distance from joint) influences the resultant movement of that joint
MECHANICAL ADVANTAGE VERSUS VELOCITY ADVANTAGE
Muscles that attach further from the joint have a mechanical advantage over muscles attached closer to the joint In the diagram below if muscles #1 and #2 were of equal strength (i.e., can generate the same force) then muscle #2 could produce a greater rotational force because its attachment is at a greater distance from the joint (rotational force = muscle force X distance from joint).
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Conversely muscles that attach close to the point of rotation are able to produce faster movement of the lever arm than muscle that attach farther from the fulcrum. In the diagram to the right if muscle #1 and muscle #2 both contract 10% during an identical time period - muscle #1’s contraction would result in a larger movement of the lever arm during that same frame of time than muscle #2. In other words, muscle #1 will result in a more rapid rotation - it has a velocity
advantage.
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Muscles attaching close to the joint with their velocity advantage are termed “high gear” muscles and those with a more distal attachment resulting in a mechanical advantage are termed “low gear” muscles.
It may be helpful to consider a similar gear analogy as in a car or bike. At low gears the output force is relatively large – allowing the vehicle to climb up a steep hill. High gears on the other hand generates a lot of speed – as would be advantageous in passing a vehicle.
JOINT POSITIONING EFFECTS
THE BODY’S LEVER SYSTEM
Unique skeletal features result from functional adaptations over time.
In the figure below - the upper diagram is an example of an animal that uses it’s front limbs for digging; the muscles attached to the point of the elbow (olecranon) are positioned further from the elbow joint (fulcrum of movement) thereby generating large
forces for digging.
The lower diagram with muscles attaching closer to the elbow joint is an runner adaptation that can result in a rapid rotation with muscle contraction
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For the same force and velocity input (left arrows), note the
relative magnitude of bolded arrows to the right of the diagrams – a large downward force (F) is generated in upper diagram and
rapid rotation (V; velocity) of movement is produced in the
lower diagram.
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