B1.4 Levers and Movement

๐Ÿ”ฉ What Is a Lever?

โœ” A rigid rod that rotates about a fulcrum (pivot)

โœ” A lever is a simple machine

๐Ÿ”„ Rotation Depends On

๐Ÿ“ Magnitude of force applied

โ†” Distance from fulcrum to line of action of the force

๐Ÿฆด Levers in the Human Body

โœ” Bones act as levers

๐Ÿ’ช Muscle contraction provides the force

๐Ÿ”„ Creates a tendency for rotation at joints

๐ŸŽฏ Focus of This Chapter

โœ” Differences between the three types of levers

โœ” Use of mechanical advantage to assess lever efficiency

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Parts of a lever:

๐Ÿฆด A fulcrum is made up of:

โœ” Rigid rod

๐Ÿ”˜ Fulcrum (axis)

๐Ÿ“ฆ Load force

๐Ÿ’ช Effort force

๐Ÿ“ Lever Arms

โ†” Moment arm โ†’ perpendicular distance from force to fulcrum

๐Ÿ“ฆ Load arm โ†’ distance from load to fulcrum

๐Ÿ’ช Effort arm โ†’ distance from effort to fulcrum

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Torque:

โšก Force โ€“ a push or pull that causes an object to start or stop moving. This is often in a linear path โ†”

๐Ÿ”„ Torque โ€“ rotational force, or a tendency to cause rotation about a fixed point โญ•

๐Ÿ“โœ–โšก Torque calculation โ€“ torque is calculated by multiplying a force by the distance from the fulcrum at which the force is applied

๐Ÿงฎ Torque formula
Torque (ฯ„) = Force (F) ร— Distance from fulcrum (moment arm)

๐Ÿ“ Example calculation
If:

โšก Force = 50 N

๐Ÿ“ Distance from fulcrum = 0.4 m

โžก Torque = 50 N ร— 0.4 m = 20 Nm

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Mechanical advantage of a lever:

๐Ÿ”ง If you were manipulating a leverโ€ฆ

๐Ÿ“ The length from fulcrum to you is called the effort arm.

๐Ÿ“ฆ๐Ÿ“ The length from the fulcrum to the object you are lifting is called the load arm.

๐Ÿ’ช๐Ÿ”„ If the effort arm is very large, it will cause a very high torque.

โš–โฌ† This means you would be able to lift a very heavy object with relative ease.

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๐Ÿ’ชMechanical advantage describes how much the effort force is multiplied to overcome a load

๐Ÿ“ˆIt 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

๐‘€๐ด=ย  (๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐‘’๐‘“๐‘“๐‘œ๐‘Ÿ๐‘ก ๐‘Ž๐‘Ÿ๐‘š)/(๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐‘™๐‘œ๐‘Ž๐‘‘ ๐‘Ž๐‘Ÿ๐‘š)=ย  (๐‘€๐‘Ž๐‘”๐‘›๐‘–๐‘ก๐‘–๐‘ข๐‘‘๐‘’ ๐‘œ๐‘“ ๐‘™๐‘œ๐‘Ž๐‘‘)/(๐‘€๐‘Ž๐‘”๐‘›๐‘–๐‘ก๐‘ข๐‘‘๐‘’ ๐‘œ๐‘“ ๐‘’๐‘“๐‘“๐‘œ๐‘Ÿ๐‘ก)

Any MA greater than 1.0 is regarded as very effcient.

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Lever types:

โœ” Three types based on positions of effort, load, and fulcrum

๐Ÿ” First-Class Lever

โš– 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

๐Ÿ‹ Second-Class Lever

๐Ÿ“ Effort and load on the same side of fulcrum

๐Ÿ“ Effort arm longer than load arm

โœ” MA > 1 โ†’ small effort overcomes large resistance

โ— Very rare in the human body

๐Ÿš€ Third-Class Lever

๐Ÿ“ Effort and load on the same side of fulcrum

๐Ÿ“ Effort arm shorter than load arm

โŒ MA < 1

โœ” Advantage = greater range of motion and speed

๐Ÿ” Very common in the human body

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Levers in body:

๐Ÿ” First-Class Lever

โš– 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 leversโ€ฆ

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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๐Ÿ‹ Second-Class Lever

๐Ÿ“ Effort and load on the same side of fulcrum

๐Ÿ“ Effort arm longer than load arm

โœ” 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 leversโ€ฆ

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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๐Ÿš€ Third-Class Lever

๐Ÿ“ Effort and load on the same side of fulcrum

๐Ÿ“ Effort arm shorter than load arm

โŒ MA < 1

โœ” Advantage = greater range of motion and speed

๐Ÿ” Very common in the human body

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All muscles in the body act as leversโ€ฆ

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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๐Ÿ” First-Class Lever

โœ” MA can be greater than or less than 1.0

๐Ÿ‹ Second-Class Lever

โœ” MA > 1.0

๐Ÿ“ Effort arm always longer than load arm

๐Ÿš€ Third-Class Lever

โŒ MA < 1.0

๐Ÿ“ Effort arm always shorter than load arm

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๐Ÿงฑ Key Parts of a Lever

๐Ÿ’ช Effort โ†’ force applied to lift the object

๐Ÿ”˜ Fulcrum โ†’ pivot point

๐Ÿ“ฆ Load โ†’ object being lifted

๐Ÿ“ Fulcrum Position Matters

โœ” Fulcrum closer to the load

โš– Mechanical advantage

โ†“ Less effort needed to lift the load

โŒ Fulcrum closer to the effort

โš  Mechanical disadvantage

โ†‘ More effort needed to lift the load

๐ŸŽฏ Key Idea

โœ” The position of the fulcrum relative to effort and load determines whether lifting is easier or harder

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โš™Third-class levers Very common in the human body ๐Ÿฆด

๐Ÿ“‰Have a low mechanical advantage (MA < 1) Muscles must produce large forces even to lift relatively light loads ๐Ÿ’ช

Key benefit: muscles insert close to the joint, allowing

๐Ÿ”„Large range of motion

โšกHigh movement speed

๐Ÿ“Muscles change less in length, while the limb moves through a much larger distance

๐ŸšซIf a muscle (e.g. biceps) inserted farther from the joint, joint movement would be greatly limited

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๐Ÿฆด Arm acts as a lever when throwing

๐Ÿ’ช Effort: muscles provide the force to move the arm and throw the ball

๐Ÿ”„ Fulcrum: the shoulder joint

โšพ Load: the ball being thrown

๐Ÿš€ Longer lever (arm) allows greater distance and speed of projection (assuming technique is equal)

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Levers outside the body in sports:

๐Ÿ’ช Effort โ†’ force applied by the performer to move the lever

๐Ÿ”˜ Fulcrum โ†’ turning point of the lever (shoulder joint when swinging a bat)

๐Ÿ“ฆ Load โ†’ object being hit or moved (the baseball)

๐Ÿ“ Effect of Lever Position

โœ” Fulcrum closer to the load

Increases power and speed

โŒ Fulcrum closer to the effort

Increases control and accuracy

๐ŸŽฏ Key Idea

โœ” Adjusting effort, fulcrum and load positions can enhance power, speed, control and accuracy in sport

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