B1.4 Levers and Movement
๐ฉ What Is a Lever?
โ A rigid rod that rotates about a fulcrum (pivot)
โ A lever is a simple machine
๐ Rotation Depends On
๐ Magnitude of force applied
โ Distance from fulcrum to line of action of the force
๐ฆด Levers in the Human Body
โ Bones act as levers
๐ช Muscle contraction provides the force
๐ Creates a tendency for rotation at joints
๐ฏ Focus of This Chapter
โ Differences between the three types of levers
โ Use of mechanical advantage to assess lever efficiency
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Parts of a lever:
๐ฆด A fulcrum is made up of:
โ Rigid rod
๐ Fulcrum (axis)
๐ฆ Load force
๐ช Effort force
๐ Lever Arms
โ Moment arm โ perpendicular distance from force to fulcrum
๐ฆ Load arm โ distance from load to fulcrum
๐ช Effort arm โ distance from effort to fulcrum
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Torque:
โก Force โ a push or pull that causes an object to start or stop moving. This is often in a linear path โ
๐ Torque โ rotational force, or a tendency to cause rotation about a fixed point โญ
๐โโก Torque calculation โ torque is calculated by multiplying a force by the distance from the fulcrum at which the force is applied
๐งฎ Torque formula
Torque (ฯ) = Force (F) ร Distance from fulcrum (moment arm)
๐ Example calculation
If:
โก Force = 50 N
๐ Distance from fulcrum = 0.4 m
โก Torque = 50 N ร 0.4 m = 20 Nm
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Mechanical advantage of a lever:
๐ง If you were manipulating a leverโฆ
๐ The length from fulcrum to you is called the effort arm.
๐ฆ๐ The length from the fulcrum to the object you are lifting is called the load arm.
๐ช๐ If the effort arm is very large, it will cause a very high torque.
โโฌ This means you would be able to lift a very heavy object with relative ease.
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๐ชMechanical advantage describes how much the effort force is multiplied to overcome a load
๐It indicates the efficiency of a lever in moving a resistance
It is a measure of how much your effort is multiplied
A mechanical advantage of 10 means if you apply 5N of force, it will lift a 50N object
A mechanical advantage of 0.4 means that if you apply 10N of force, it will lift a 4N object.
This can be calculated either two ways
๐๐ด=ย (๐ฟ๐๐๐๐กโ ๐๐ ๐๐๐๐๐๐ก ๐๐๐)/(๐ฟ๐๐๐๐กโ ๐๐ ๐๐๐๐ ๐๐๐)=ย (๐๐๐๐๐๐ก๐๐ข๐๐ ๐๐ ๐๐๐๐)/(๐๐๐๐๐๐ก๐ข๐๐ ๐๐ ๐๐๐๐๐๐ก)
Any MA greater than 1.0 is regarded as very effcient.
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Lever types:
โ Three types based on positions of effort, load, and fulcrum
๐ First-Class Lever
โ Effort and load on opposite sides of fulcrum
โ Effort arm can be smaller, equal to, or greater than load arm
โ Fairly rare in the human body
๐ Second-Class Lever
๐ Effort and load on the same side of fulcrum
๐ Effort arm longer than load arm
โ MA > 1 โ small effort overcomes large resistance
โ Very rare in the human body
๐ Third-Class Lever
๐ Effort and load on the same side of fulcrum
๐ Effort arm shorter than load arm
โ MA < 1
โ Advantage = greater range of motion and speed
๐ Very common in the human body
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Levers in body:
๐ First-Class Lever
โ Effort and load on opposite sides of fulcrum
โ Effort arm can be smaller, equal to, or greater than load arm
โ Fairly rare in the human body
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ย All muscles in the body act as leversโฆ
First class โ the skull balances on the spine (fulcrum), the weight of the head (load) is mostly anterior, muscles in the back of the head/neck (effort) keep the head balanced.
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๐ Second-Class Lever
๐ Effort and load on the same side of fulcrum
๐ Effort arm longer than load arm
โ MA > 1 โ small effort overcomes large resistance
โ Very rare in the human body
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All muscles in the body act as leversโฆ
Second class โ body weight (load) rests on the center of the foot, the calf muscles (effort) pull via the achilles tendon at the heel, and pivot at the toes (fulcrum)
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๐ Third-Class Lever
๐ Effort and load on the same side of fulcrum
๐ Effort arm shorter than load arm
โ MA < 1
โ Advantage = greater range of motion and speed
๐ Very common in the human body
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All muscles in the body act as leversโฆ
Third class โ Weights (load) held in the hand are lifted by the bicep muscles (effort) that insert on the proximal end of the radius, and pivot at the elbow (fulcrum)
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๐ First-Class Lever
โ MA can be greater than or less than 1.0
๐ Second-Class Lever
โ MA > 1.0
๐ Effort arm always longer than load arm
๐ Third-Class Lever
โ MA < 1.0
๐ Effort arm always shorter than load arm
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๐งฑ Key Parts of a Lever
๐ช Effort โ force applied to lift the object
๐ Fulcrum โ pivot point
๐ฆ Load โ object being lifted
๐ Fulcrum Position Matters
โ Fulcrum closer to the load
โ Mechanical advantage
โ Less effort needed to lift the load
โ Fulcrum closer to the effort
โ Mechanical disadvantage
โ More effort needed to lift the load
๐ฏ Key Idea
โ The position of the fulcrum relative to effort and load determines whether lifting is easier or harder
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โThird-class levers Very common in the human body ๐ฆด
๐Have a low mechanical advantage (MA < 1) Muscles must produce large forces even to lift relatively light loads ๐ช
Key benefit: muscles insert close to the joint, allowing
๐Large range of motion
โกHigh movement speed
๐Muscles change less in length, while the limb moves through a much larger distance
๐ซIf a muscle (e.g. biceps) inserted farther from the joint, joint movement would be greatly limited
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๐ฆด Arm acts as a lever when throwing
๐ช Effort: muscles provide the force to move the arm and throw the ball
๐ Fulcrum: the shoulder joint
โพ Load: the ball being thrown
๐ Longer lever (arm) allows greater distance and speed of projection (assuming technique is equal)
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Levers outside the body in sports:
๐ช Effort โ force applied by the performer to move the lever
๐ Fulcrum โ turning point of the lever (shoulder joint when swinging a bat)
๐ฆ Load โ object being hit or moved (the baseball)
๐ Effect of Lever Position
โ Fulcrum closer to the load
Increases power and speed
โ Fulcrum closer to the effort
Increases control and accuracy
๐ฏ Key Idea
โ Adjusting effort, fulcrum and load positions can enhance power, speed, control and accuracy in sport
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