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terms
fulcrum: pivot point — ex: elbow joint
resistive force (Fr): weight/resistance you are trying to move — ex: dumbbell in hand
muscle force (Fr or Fa): internal effort/pull generated by your body to move against the resistance — ex: biceps muscle contracting and pulling on forearm bone
MFr: straight line distance from pivot point to the heavy weight
longer distance = harder work
MFm: straight line distance from pivot point and the line of pull of working muscle — ex: from fulcrum to bicep tendon on forearm
longer distance = easier work
torque: force x moment arm
first class
lever where Fm and Fr act on opposite sites with the fulcrum in the middle
Fm — Fulcrum — Fr
produces very high or very low forces
moment arms depend on fulcrum placement
force vs speed/ROM is balanced and depends on setup
ex: tricep extension
fulcrum: elbow
Fm: tricep muscle pulls behind the joint
Fr: weight in hand
second class
lever where Fm is further from fulcrum than Fr on the same side
Fulcrum — Fr — Fm
always advantageous (> 1.0) — MAX force capability (less muscle force to lift heavy weights)
sacrifices speed and ROM
ex: calf raise
fulcrum: toes
Fm: gastrocnemius pulling at the heel via achilles tendon
Fr: body weight transferring down thru leg bones in the middle
ex: flip a tire end over and over
fulcrum: bottom edge of tire touches ground acts as fixed pivot
Fm: person lifts upward at opposite end
Fr: entire weight of tire acts downward between pivot and lifter
third class
lever where Fr is further from fulcrum than Fm on the same side
Fulcrum — Fm — Fr
always DISadvantageous (< 1.0) — MAX speed and ROM
sacrifices force
most common in the human body
ex: bicep curl
fulcrum: elbow joint
Fm: biceps tendon on radial tuberosity
Fr: dumbbell in hand further out
mechanical advantage
ratio of the moment arm of Fa to the moment arm of Fr
Mfa / Mfr
> 1.0 — Mfa is longer than Mfr → need less muscle force to lift a heavy weight (high strength/force efficiency)
ex: patella — increases perpendicular distance (Mfa) by pushing quads tendon further from fulcrum
ascending-descending strength curve (curve)
shows how joint angle directly impacts force capability during movement
bicep curl from bottom to shoulder:
ascending: lower joint angles (0-70 degrees) — Maf short bc parallel to bone → mechanical disadvantage
maximal torque: between 70-120 degrees for elbow flexion — Maf maximized → mechanical advantage
descending: beyond peak flexion (120 to 180 degrees) and joint angle closes — Maf short → mechanical disadvantage
variable resistance machines (VRM)
specialized mechanisms to change the machine’s leverage against you through an exercise’s ROM
matches machine’s rotational resistance (resistive torque) to body’s strength curve (torque muscles can produce at diff joint angles)
load gets heavier where you are strong and lighter where you are weak
VRM pros
more resistance at points in the ROM → muscles could exert greater torque
muscles can work against max force throughout the whole ROM
VRM cons
slow, controlled angular velocity — moving too fast allows momentum to take over and ruin leverage
angles vary widely between athletes — standard cam rarely aligns perfectly with their actual strength curve
strength
capacity to exert force at any given speed of movement
slower speeds, greater force output
force = mass x acceleration
higher mass = less acceleration (change in velocity over time)
“how much can you lift?”
power
the time rate of doing work
= force x velocity
= work/time
not the explosive movement, but can be calculated during slow or fast movement
work: product of force exerted on an object and the distance it moved — force x displacement
training is individualized: taller lifters perform more work
1 RM
max strength: 1 RM on heavy loads — moving near-max weight forces slow speed
ex: power lifting, squat, deadlft — max force output
max power: lighter loads — bar can accelerate rapidly
most athletic sports
ex: weightlifting, snatch, clean and jerk — rapid force production
biomechanical factors
in human strength
neural control: NS signals the muscle
recruitment: which and how many motor units involved
rate coding: rate at which motor units fire
muscle cross-sectional area: bigger muscle has more contractile units = more force
joint angle: moment arms, optimal length for peak force, muscle insertions, lever
muscle fiber arrangement
muscle length
muscle contraction velocity and joint angular velocity (force velocity curve)
muscle fiber arrangement (MFA)
relates to angle of pennation
angle between muscle fibers and imaginary line running between muscle’s origin and insertion
greater pennation
greater angle: fibers packed diagonally side by side
fits more muscle fibers in parallel to a smaller space
= greater force production
lesser pennation
lesser angle: fibers run nearly parallel in a line directly between origin and insertion
fibers pull together in series
fits fewer fibers in parallel — lower force output
= greater shortening speed and larger ROM
length tension relationship
max force production is achieved at a particular point in the ROM
the POINT: optimal actin and myosin cross bridge / optimal Maf and Mrf (>1.0 mechanical advantage)
ascending-descending curve
force velocity relationship
how force (torque) of a muscle can produce changes based on SPEED and DIRECTION
torque (y): rotational force the muscle is producing around a joint
joint angular velocity (x): how fast the joint is moving
concentric zone
isometric point
eccentric zone
eccentric
muscle lengthening against a heavy load = PEAK torque
Fr > Fm
highest force
negative angular velocity (low speed)
concentric
muscle shortening
as joint angular velocity increases = less torque
slower speed: more time for cross-bridges = high torque
higher speed: less time for cross-bridges = low torque
Fm > Fr
positive angular velocity (higher speed)
isometric
muscle length stays the same
machine controls and maintains constant movement speed while measuring torque
0 degrees/s angular velocity
Fm = Fr