The Effective Lever Arm: Why Lever Class Does Not Set Mechanical Advantage

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Spinal Fitness · Lever mechanics

A force's effect depends on its perpendicular distance from the fulcrum, and that distance changes at every joint angle

Appendix C of Eileen Durfee's Spinal Fitness book states that mechanical advantage equals the effective effort arm divided by the effective resistance arm, where each effective arm is the perpendicular distance from a force's line of action to the fulcrum. The book credits Dr. John Scherger with applying this correction to musculoskeletal biomechanics and dates its first statement to Benedetti in 1599.

  • Archimedes to Borelli
  • Fixed vs effective arms
  • The second-class lever
  • Joints as wheel and axle
  • 2-vertebra levers

At a glance

  • Classical law (Archimedes, about 200 BC): resistance force × resistance arm = effort force × effort arm.
  • Correction (dated by the book to 1599): use the effective arm, the perpendicular distance from the line of force to the fulcrum.
  • Formula: Mechanical Advantage = Effective Effort Arm ÷ Effective Resistance Arm.
  • Second-class levers: mechanical advantage in 1 position can be lost in another.
  • Spine: each lever system is 2 vertebrae, so every level is analyzed separately.

From Archimedes to Borelli

Appendix C traces the law of the lever to Archimedes, around 200 BC, summarized as magnitudes in equilibrium at distances reciprocally proportional to their weights: resistance force × resistance arm = effort force × effort arm. The appendix, which opens by noting that levers have been handled as settled science for over 2,000 years, states that the formula is sound and that the error lies in how the arm has been read: as the fixed linear length from the fulcrum to where force is applied.

In the book's account, Benedetti clarified in 1599 that a force's effectiveness depends on its perpendicular distance to the fulcrum, not merely the distance along the lever. Borelli applied mechanics to the human body in the 17th century and showed that the internal forces the muscles and joints generate and stabilize can be far greater than the external load being carried. Chapter 3 adds Leonardo da Vinci, who studied the body as a mechanical system and recognized the S-shaped spinal posture, and places Dr. Scherger as the one who applied torque, translation, shear, compression and effective lever arms to the spine as a living multi-joint system. The PowerCushion and Back Trac, which the appendix calls part of the mechanical system, are in the Creatrix spine alignment and exercise collection.

The fixed arm and the effective arm

The appendix defines 2 arms:

  • Fixed lever arm: the length from the fulcrum to the attachment of the resistance or effort, measured along the bone or rigid lever; it stays constant.
  • Effective lever arm: measured at a right angle from the force's line of action to the fulcrum; it changes as the lever's angle changes.

The appendix gives 2 consequences of the difference: a force applied at a long fixed distance can produce little torque if its line of action passes close to the fulcrum, and a force at a shorter fixed distance can produce more torque if its perpendicular distance is larger.

Version Equilibrium of torque
Classical, as commonly taught Force R × FIXED resistance arm = Force E × FIXED effort arm
Corrected, dated by the book to 1599 Force R × EFFECTIVE resistance arm = Force E × EFFECTIVE effort arm

Muscle force is the reason the correction matters in the body. In the book's Figure 4, resistance keeps acting in the direction of gravity while effort changes direction, because muscle force follows the line from insertion to origin as the bone moves. Section 4 of the appendix states that as a joint moves, the fixed arm, the attachment and the bone length stay the same while the line of force moves, so the effective arm and the mechanical advantage change continuously. In section 3 of the appendix, Dr. Scherger's statement reads: "What matters is the distance perpendicular to the direction of force back to the fulcrum."

Figure 7: where the second-class lever claim breaks

Textbooks commonly state that second-class levers, with the resistance between the fulcrum and the effort, always provide a mechanical advantage greater than 1. The book's Figure 7, shown with this article, starts in that configuration: the effective effort arm is longer than the effective resistance arm. As the lever moves, the muscle's line of action shifts, the effective effort arm shortens, and the effective resistance arm becomes comparatively longer. At that point in Figure 7 the effective effort arm is less than the effective resistance arm, and the effort force required exceeds the resistance force.

The corrected statement in the book: a second-class lever may have mechanical advantage in 1 position and lose it in another. Figure 8 shows the third-class case, in which the effective effort arm stays shorter than the effective resistance arm throughout the movement even though both change length. In section 6 of the appendix, first-class levers remain variable systems, with the reason given as the effective arm relationship at each point in motion. The appendix's takeaway for Figure 7 is that geometry and force direction at a specific moment in movement, not lever class, set the mechanical advantage.

Joints work as wheel-and-axle systems

The book states that the knee, the hip and the spinal joints function as wheel-and-axle systems rather than pulleys: the fixed effort arm and the fixed resistance arm share the same rotating axis, and the effective arms change geometry with every degree of motion. Analyzing a movement at 1 position is therefore insufficient, because the same exercise can move from a first-class to a third-class lever relationship partway through its range. The book's leg curl analysis is its worked case. With 100 pounds of resistance, the knee joint is a first-class system at about 5 degrees off horizontal (550 pounds of hamstring force, 37 pounds of posterior shear) and at 45 degrees (450 pounds, 15 pounds posterior), and a third-class system at about 85 degrees from horizontal, where the hamstring needs only 25 pounds while the knee carries 94 pounds of anterior shear toward the ACL. The highest ACL load falls where the effort is lowest.

The book's functional definition of the classes follows the force at the joint. In a first-class system, the true resistance arm and the true effort arm are 180 degrees apart or close to it, the joint receives compression, and any shear is directed toward the line of pull of the effort, where structures such as the facets can intercept it. In a third-class system the 2 arms approach 90 degrees, the force at the joint becomes increasingly shear, and that shear is directed away from the effort, so ligaments, discs, cartilage or active muscle must control it.

The spine as a stack of 2-vertebra levers

In the spinal column, the book states, a single lever system is 2 vertebrae: the superior vertebra is the fixed resistance arm, the inferior vertebra provides the true effort arm, and the joint between them is the fulcrum. Every level is analyzed individually, because a movement that creates a first-class relationship at L2-L3 may create a third-class relationship at L4-L5 from the same starting posture. Proper posture in the Sit-Up over the PowerCushion creates a first-class relationship at each lumbar joint; poor posture creates third-class relationships that require active muscular stabilization at every joint.

Small changes in posture change the effective arms, which is why the book handles spinal position, pelvic tilt, cervical flexion and thoracic alignment as geometry. The spinal muscles attach close to the vertebrae and keep a short effort arm, so the variable a person can change is the resistance arm: the position of the head, trunk, arms and load relative to the spinal fulcrum. The book's 3 cues, keep the load close, hinge at the hips, and restore the curve, are each stated as leverage.

Prone rising and the facets

The appendix separates 2 movements: rising from the prone position, face down, and rising from the supine position. In prone rising the shear is directed toward the facets: the inferior facet of the superior vertebra presses against the superior facet of the inferior vertebra, and bone-to-bone contact stabilizes the shear without muscular effort. In supine rising, the multifidus and other posterior stabilizing muscles can produce an opposing shear force if bony stabilization is insufficient. In prone rising no active muscle is positioned to oppose the shear, so with degenerated, injured, inadequately formed or overloaded facets the book states there is no muscular backup.

The book's caution list for posterior-loaded exercise (Chapter 9)

Chapter 9 names 5 patterns to approach with caution: back extensions, bent-over rows, standing bicep curls, repetitive forward bending under load, and any exercise where the posterior spinal muscles are the primary movers. The book states that the 5-item list is not a prohibition on all posterior-chain activity; deadlifts and Olympic lifts performed under expert coaching have their place. The lever reason: the posterior spine has severely poor mechanical advantage at every position, and stabilizing a 100-pound upper body against a posterior force puts over 1,200 pounds of compression on L5-S1 and over 1,700 pounds of effort across the lumbar joints, with proper and improper posture alike.

Fixed support for the lever system

Section 11 of Appendix C names 2 fixed structural supports, the PowerCushion and the Back Trac, that let muscular effort be directed into alignment rather than lost to shear.

The Power Cushion family Back Trac Medium and Hard Bundle

From Eileen

Practitioner Eileen Durfee, NBS (Nutritional Balancing Science), NASM-CPT — wellness educator, inventor, author, and a Nationally Certified Spinal Fitness Specialist.

Appendix C of my book is a modern, independently written explanation of Dr. John Scherger's central insight: a correction to how lever systems have been taught in 4 fields, physics, biomechanics, physiology and kinesiology. I included it to give Dr. Scherger proper credit for identifying and emphasizing this misconception, and its diagrams, Figures 1 to 8 among them, were redrawn for clarity, consistency and print quality.

Our Facebook group is free to join for questions about any of the 5 steps in the Spinal Fitness system.

Frequently asked questions

What is the effective lever arm?

The perpendicular distance from a force's line of action to the fulcrum. The book states it, not the distance along the bone, belongs in every torque calculation.

Do second-class levers always give a mechanical advantage?

The book's Figure 7 shows one that starts with an advantage and loses it as the lever moves, because the effective effort arm shortens.

Why does the book call joints wheel-and-axle systems?

The effort and resistance arms share one rotating axis and change geometry with every degree of motion, so a joint's lever class can change within one exercise.

How many vertebrae make 1 spinal lever?

2. The superior vertebra is the fixed resistance arm, the inferior vertebra provides the true effort arm, and the joint between them is the fulcrum.

Who first stated the correction?

The book dates it to Benedetti in 1599 and credits Dr. John S. Scherger with applying it to musculoskeletal biomechanics.

Explore More

  • The resistance arm at work
  • Why curves carry load
  • The Sit-Up over the PowerCushion

Published October 16, 2026 • Updated October 16, 2026

By Eileen Durfee, Nationally Certified Spinal Fitness Specialist, NASM-CPT, and author of the Spinal Fitness book.

Educational notice: The guidance here is shared for general education, and these statements have not been evaluated by the Food and Drug Administration. Our products are not intended to diagnose, treat, cure, or prevent any disease or medical condition, and individual experiences vary. Please consult a qualified healthcare provider before beginning a new exercise routine, especially if you have an injury or medical condition.

More from Eileen Durfee

Eileen's free guide, Is Your Posture Aging You?, on EileenDurfee.com

This article is for educational purposes only. These statements have not been evaluated by the Food and Drug Administration. This product is not intended to diagnose, treat, cure or prevent any disease. Nuco Enterprise Solutions LLC.

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