Submitted:
04 August 2025
Posted:
06 August 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Materials and Methods
3. Comparison Between Variable-Cam Machines vs. Isokinetic Devices
3.1. Angle-Torque Relationship
3.2. Muscular Activation
4. Comparison Between Variable-Cam Machines vs. Other Equipment
4.1. Angle-Torque Relationship
4.2. Muscular Activation
5. Testing Procedures to Analyze the Angle-Torque Relationship in Variable-Cam Machines
6. Practical Applications
7. Conclusions
8. Future Direction
Author Contributions
Funding
Conflicts of Interest
References
- McMillin, C.; Melton, B.; Murray, N.; D’Adamo, C. Machine Resistance Curve Analysis of Seven Resistance Training Machines: Original Research. RDSP 2024, 4. [Google Scholar] [CrossRef]
- Frost, D.; Cronin, J.; Newton, R. A Biomechanical Evaluation of Resistance: Fundamental Concepts for Training and Sports Performance. Sports Med 2010, 40, 303–326. [Google Scholar] [CrossRef]
- Nuzzo, J.; Pinto, M.; Nosaka, K. Connective Adaptive Resistance Exercise (CARE) Machines for Accentuated Eccentric and Eccentric-Only Exercise: Introduction to an Emerging Concept. Sports Med 2023, 53, 1287–1300. [Google Scholar] [CrossRef]
- Foran, B. Facility considerations: Advantages and disadvantages of isokinetics, variable resistance and free weights. Strength Cond J 1985, 7. [Google Scholar] [CrossRef]
- Gołaś, A.; Pietraszewski, P.; Roczniok, R.; Królikowska, P.; Ornowski, K.; Jabłoński, T.; Kuliś, S.; Zając, A. Neuromuscular Control during the Bench Press Exercise Performed with Free Weights and Pneumatic Loading. Appl Sci 2024, 14. [Google Scholar] [CrossRef]
- Spudić, D.; Cvitkovič, R.; Šarabon, N. Assessment and Evaluation of Force–Velocity Variables in Flywheel Squats: Validity and Reliability of Force Plates, a Linear Encoder Sensor, and a Rotary Encoder Sensor. Appl Sci 2021, 11. [Google Scholar] [CrossRef]
- Pipes, T. Variable resistance versus constant resistance strength training in adult males. Eur J Appl Physiol Occup Physiol 1978, 39, 27–35. [Google Scholar] [CrossRef] [PubMed]
- Wallace, B.; Bergstrom, H.; Butterfield, T. Muscular bases and mechanisms of variable resistance training efficacy. Int J Sports Sci Coach 2018, 13, 1177–1188. [Google Scholar] [CrossRef]
- Smith, F. Strength Training Modes: Dynamic Variable Resistance and the Universal System. Strength Cond J 1982, 4. [Google Scholar] [CrossRef]
- Fuentes-Garcia, M.; Malchrowicz-Mosko, E.; Castaneda-Babarro, A. (2024). Effects of variable resistance training versus conventional resistance training on muscle hypertrophy: A systematic review. Sport Sci Health 2024, 20, 37–45. [Google Scholar] [CrossRef]
- Dalleau, G.; Baron, B.; Bonazzi, B.; Leroyer, P.; Verstraete, T.; Verkindt, C. The influence of variable resistance moment arm on knee extensor performance. J Sports Sci 2010, 28, 657–665. [Google Scholar] [CrossRef]
- Folland, J.; Morris, B. Variable-cam resistance training machines: Do they match the angle – torque relationship in humans? J Sports Sci 2008, 26, 163–169. [Google Scholar] [CrossRef]
- Syrotuik, D. Resistive torque analysis of the nautilus leg extension machine. Doctoral Thesis, Edmonton, AB: University of Alberta, 1984. [Google Scholar]
- Harman, E. Resistive torque analysis of five Nautilus exercise machines. 1983, 7, 248–261. [Google Scholar]
- Johnson, J.; Colodny, S.; Jackson, D. Human Torque Capability Versus Machine Resistive Torque for Four Eagle Resistance Machines. Strength Cond J 1990, 4. [Google Scholar]
- Kulig, K.; Andrews, J.; Hay, J. Human Strength Curves. Exerc Sport Sci Rev 1984, 12. [Google Scholar] [CrossRef]
- Harman, E. Resistance Training Modes: A Biomechanical Perspective. Strength Cond J 1994, 16. [Google Scholar] [CrossRef]
- Hakkinen, K.; Komi, P.; Kauhanen, H. Scientific Evaluation of Specific Loading of the Knee Extensors with Variable Resistance, Isokinetic and Barbell Exercises. In Medicine and Sport Science, 26th ed.; Marconnet, P, Ed.; S. Karger A.G.: Basel, Switzerlan, 1987; Volume 26, pp. 224–237. [Google Scholar]
- Lurvey, P.; Chandler, J.; Malone, T. Differences in Force Production on Various Isotonic Loading Devices. Isokinet Exerc Sci 1991, 1, 75–80. [Google Scholar] [CrossRef]
- Pizzimenti, M. Mechanical analysis of the Nautilus leg curl machine. Can J Sport Sci 1992, 17, 41–48. [Google Scholar]
- Cabell, L.; Zebas, C. Resistive Torque Validation of the Nautilus Multi-Biceps Machine. Strength Cond J 1999, 13. [Google Scholar]
- Folland, J.; Hawker, K.; Leach, B.; Little, T.; Jones, D. Strength training: Isometric training at a range of joint angles versus dynamic training. J Sports Sci 2005, 23, 817–824. [Google Scholar] [CrossRef]
- Walker, S.; Taipale, S.; Nyman, K.; Kraemer, J.; Häkkinen, K. Neuromuscular and hormonal responses to constant and variable resistance loadings. MSSE 2011, 43, 26–33. [Google Scholar] [CrossRef] [PubMed]
- Aboodarda, S.; Shariff, M.; Muhamed, A.; Ibrahim, F.; Yusof, A. Electromyographic Activity and Applied Load During High Intensity Elastic Resistance and Nautilus Machine Exercises. J Hum Kinet 2011, 30, 5–12. [Google Scholar] [CrossRef] [PubMed]
- Peltonen, H.; Arokoski, J.; Kallinen, M.; Pullinen, T. Muscle loading and activation of the shoulder joint during humeral external rotation by pulley and variable resistance. J Electromyogr Kinesiol 2012, 22, 424–430. [Google Scholar] [CrossRef] [PubMed]


| Author/ Year | Title | Comparison | Aim | Participants |
| Harman (1983) [14] | Resistive Torque Analysis of 5 Nautilus Exercise Machines | Variable-cam Machines Vs. Isokinetic Devices | To conduct a qualitative biomechanical analysis of five Nautilus exercise machines and determine their ability to match human torque capability curves. | Not applicable. |
| Häkkinen et al. (1987) [19] | Scientific Evaluation of Specific Loading of the Knee Extensors with Variable Resistance, “Isokinetic” and Barbell Exercises | Variable-cam Machines Vs. Other Equipment | To investigate the knee extensor muscle activation and force production characteristics during various voluntary contractions performed against variable resistance. | Five sportsmen with a long experience in bodybuilding and powerlifting (27.0 ± 3.0 years, 78.2 ± 7.1 kg, 175.1 ± 4.5 cm). |
| Johnson et al. (1990) [15] | Human Torque Capability Versus Machine Resistive Torque for Four Eagle Resistance Machines | Variable-cam Machines Vs. Isokinetic Devices | To conduct a biomechanical analysis of four variable resistance Eagle machines to determine their ability to accommodate the strength curves of female athletes. | Ten female college athletes (20.2 ± 1.5 years, 63.9 ± 7.0 kg). |
| Lurvey et al. (1991) [20] | Differences in Force Production on Various Isotonic Loading Devices | Variable-cam Machines Vs. Other Equipment | To compare the force required to lift a given weight throughout the ROM of the N-K Table, Nautilus and Universal machines, and to quantitatively document the force and torque curves. | Not applicable. |
| Pizzimenti (1992) [21] | Mechanical Analysis of the Nautilus Leg Curl Machine | Variable-cam Machines Vs. Isokinetic Devices | To assess the capability of the Nautilus leg curl machine to reflect changes in isokinetic resistance torque that matches the human torque pattern generated by the knee flexor muscle group. | Twenty physically active men (25.8 ± 3.8 years, 74.9 ± 10.9 kg, 179.0 ± 12.0 cm). |
| Cabell and Zebas (1999) [17] | Resistive Torque Validation of the Nautilus Multi-Biceps Machine | Variable-cam Machines Vs. Isokinetic Devices | To validate the resistance of the Nautilus Multi-Biceps Machine with the strength curves of the elbow flexors. | Ten healthy and physically active male university students (30.2 ± 9.3 years, 85.9 ± 19.9 kg, 184.0 ± 9.0 cm). |
| Folland et al. (2005) [22] | Strength Training: Isometric Training at a Range of Joint Angles Versus Dynamic Training | Variable-cam Machines Vs. Isokinetic Devices | To compare isometric training with conventional dynamic training at four different muscle lengths using similar relative loads and assessed by both isokinetic and isometric strength measures. | Thirty-three healthy males (21.5 ± 2.1 years, 76.5 ± 8.6 kg, 181.0+ 6.0 cm). |
| Folland and Morris (2008) [12] | Variable-cam RT Machines: Do They Match the Angle-Torque Relationship in Humans? | Variable-cam Machines Vs. Isokinetic Devices | To compare the resistive torque profile of eight knee extension, variable-cam RT machines with knee extensor torque capability over the same range of movement. | Ten healthy young men (20.0 ± 1.0 years, 77.0 ± 6.0 kg, 1.78.0 ± 0.1 cm). |
| Dalleau et al. (2010) [11] | The Influence of Variable Resistance Moment Arm on Knee Extensor Performance | Variable-cam Machines Vs. Other Equipment | To assess how the variable resistance moment arm can modify torque, velocity, and power production during explosive knee extension. | Fourteen physically active males and familiar with RT (24.0 ± 2.0 years, 71.6 ± 7.3 kg, 176.0 ± 5.0 cm). |
| Walker et al. (2011) [23] | Kinetic and Electromyographic Analysis of Single Repetition Constant and Variable Resistance Leg Press Actions | Variable-cam Machines Vs. Other Equipment | To investigate the acute effects of constant and variable resistance exercise on neuromuscular and endocrine responses during maximal strength and hypertrophic loadings. | Thirteen healthy young men (28.4 ± 3.7 years, 78.7 ± 10.2 kg, 180.3 ± 3.9 cm). |
| Aboodarda et al. (2011) [24] | Electromyographic Activity and Applied Load During High Intensity Elastic Resistance and Nautilus Machine Exercises | Variable-cam Machines Vs. Other Equipment | To quantify and compare the magnitude of applied load and muscle activation during 8-RM seated knee extension in the contribution of variable-cam Nautilus Machine and Elastic Resistance exercises. | Sixteen healthy volunteers (female: N = 7, 22.4 ± 4.7 years, 60.0 ± 6.2 kg, 158.0 ± 3.0 cm; male: N = 9, 24.0 ± 3.6 years, 78.1 ± 7.2 kg, 174.0 ± 7.0 cm). |
| Peltonen et al. (2012) [25] | Muscle Loading and Activation of the Shoulder Joint During Humeral External Rotation by Pulley and Variable Resistance | Variable-cam Machines Vs. Other Equipment | To compare the muscle activation of the primary external rotator, infraspinatus, between the cable pulley machine and a variable resistance machine. | Eleven healthy physically active men (28.0 ± 3.0 years). |
| Author/ Year | Methods | Results | Main findings |
| Harman (1983) [14] | The machines’ ROM was analyzed via photographs, and the weight chain to variable-cam pivot distance was measured. MRT was calculated and compared to HTC using computer graphics. | MRT increased for chest-fly and knee flexion, while HTC decreased by 80%. Knee extension MRT peaked at 110º and dropped by 50%. Arm-curl MRT varied with HTC, dipping 59% at extremes. Pullover MRT/HTC peaked at 90º. | MRT and HTC patterns showed minimal alignment. Significant redesigns are required to match MRT with human strength curves better. |
| Johnson et al. (1990) [15] | HTC was isometrically assessed on an isokinetic dynamometer. A goniometer measured one subject’s joint positions to determine MRT patterns. Computer graphics compared HTC curves with MRT curves. | MRT and HTC align well for knee extension up to 100º. For knee flexion, MRT and HTC are well aligned. Elbow flexion MRT peaks at 120º, differing from HTC. | The MRT of the examined machines matched the HTC. |
| Pizzimenti (1992) [21] | Data on HTC and Nautilus leg curl MRT patterns were collected at 30 and 60°/s. MRT was measured by coupling the machine to the dynamometer, and the moment arm was determined from photographs. | HTC peaked at 30° initially, decreasing with flexion. Peak torque values were 93.2 N·m (23.4°) and 88.9 N·m (27.5°). MRT data showed 88% maximum torque at knee flexion onset, peaking at 64.5° and decreasing to 94% in the final. | The Nautilus leg curl machine failed to adjust its MRT, poorly aligning with the biomechanical needs of knee flexors in tested conditions. |
| Cabell and Zebas (1999) [17] | Arm curl tests were conducted mimicking the Nautilus Multi-Biceps Machine. Resistance arm testing used an isokinetic dynamometer with varying speeds (30º, 45º, 60º/s). | Torque capacity decreased across conditions as angular velocity increased. Resistance torque curves declined slightly. Significant torque differences occurred at 15° and 30° flexion, but none were found between 45° and 75°. | The resistance of the Nautilus Multi-Biceps Machine did not match the strength curves of the elbow flexors throughout the entire ROM. |
| Folland et al. (2005) [22] | Participants trained quadriceps unilaterally, with one leg doing dynamic and the other isometric training, three times weekly for nine weeks at 75%RM. Strength and muscle activity were assessed. | Initially, the angle–torque relationships of isometrically and dynamically trained legs were similar. RT increased absolute isokinetic strength, with higher gains at 90º/s than 300º/s; however, the results differ between conditions. | Isometric training produced higher gains in isometric strength across angles. Isokinetic strength gains were similar for both training methods. |
| Folland and Morris (2008) [12] | The angle-torque relationship of the knee extensors was assessed isometrically and dynamically and compared with the static angle–torque relationship of eight variable-cam knee extension machines. | Peak torque occurred at 60º or 80º, with significant differences among velocities. Torque was ~75% at 100º and ~40% at 20º. Variable-cam machines torque varied from 20º to 100º. Significant differences were found in six machines. | Variable-cam machines mismatch the muscle’s angle-torque relationship. |
| Author/ Year | Methods | Results | Main findings |
| Häkkinen et al. (1987) [19] | The study used the David 200 variable-cam to test knee extensors. Were performed concentric, eccentric, isometric, squats, and isokinetic tests recording force, knee angle, and muscle activity. | Concentric contraction force peaked at 60°, declining at 20°, with the highest muscle activation. Eccentric forces exceeded concentric at multiple angles. Squats showed decreased muscle activation across angles. | Variable resistance may create optimal conditions for high muscle activation throughout the entire ROM. |
| Lurvey et al. (1991) [20] | Force was measured on three leg extensions using a force gauge and two goniometers. Static readings were taken at 5º increments throughout the entire ROM. | Nautilus increased from 9.7 lbs (120º) to 20.2 lbs (0º). Universal decreased from 41.1 lbs (95º) to 27.9 lbs (5º), while N-K Table peaked at 55º. Torque curves differed significantly (r = -0.912). | Differences in force required to lift weights exist across the N-K Table, Nautilus, and Universal machines. The N-K Table closely matches HTC. |
| Dalleau et al. (2010) [11] | Torque–angular velocity and power–angular velocity relationships were assessed in a circular pulley and in a non-circular variable-cam during maximal knee extensions with different loads (40 to 80 kg). | The pulley system produced higher average and peak torque, increasing linearly with load, while velocity decreased. The average power was similar, with higher peak power for the pulley. | Variable-cam’s theoretical and optimal velocities favor velocity and anatomical preservation. Pulley produced higher theoretical torque and maximal power, highlighting torque production. |
| Walker et al. (2011) [23] | In leg extension, four loadings were performed (maximal strength and hypertrophic loadings using both constant and variable resistance). Blood samples were collected, and muscle activity was assessed. | Peak 1RM and 10RM loads were higher with constant resistance. Variable resistance showed higher muscle activation, while isometric force and muscle activation decreased post-loading. | Neuromuscular responses differed between constant and variable hypertrophic loadings, which caused higher neuromuscular fatigue. It also benefits hypertrophic practices. |
| Aboodarda et al. (2011) [24] | 8-RM knee extensions were performed with variable-cam Nautilus machine, elastic tubing with initial length, and elastic tubing with a 30% decrement of initial length. Muscle activity was recorded. | Variable-cam Nautilus machine showed higher muscle activation during early concentric and late eccentric phases than elastic tubing. No significant differences occurred between thr variable-cam Nautilus machine and tubing in other phases. | Reducing the initial length of elastic material by 30% in an external recoil device can achieve neuromuscular activation similar to that of the variable-cam Nautilus machine. |
| Peltonen et al. (2012) [25] | Muscle activity was measured with variable resistance and cable pulley in external rotation exercise, with resistance increased from light to maximum load. | Variable resistance maintained angular velocity at lower loads and had higher muscle activity at heavier loads. Torque peaked at 45º (pulley) and 30º (variable). ROM decreased with cable pulleys. | Variable resistance exercises are ideal for glenohumeral rehabilitation due to their larger ROM, better infraspinatus muscle activation, and steadier shear forces at the joint. |
| Author/ Year | Angle-torque determination | Exercises | Instruments | Angles | Contraction | Sets and repetitions | Rest | Load | Angular velocity |
| Harman (1983) [14] | Theoretical determination. | Biceps curl; Chest fly; Pullover; Leg extension; Leg curl. |
Camera (photography). | NA. | Dynamic. | NA. | NA. | NA. | NA. |
| Häkkinen et al. (1987) [19] | Direct determination. | Squat; Leg extension. |
Strain gauge; Goniometer. |
80, 100, 120, 140, and 160º of knee extension. | Dynamic; Isometric; Isokinetic. |
4×1 (concentric); 3×1 (eccentric); 2×2.5 s for each angle (isometric); 3×1 (isokinetic). |
NA. | 100, 40, 60 and 80%RM (concentric); 100, 110, and 120%RM (eccentric). |
20, 40 and 60º/s (isokinetic). |
| Johnson et al. (1990) [15] | Theoretical determination. | Tricep extension; Biceps curl; Leg extension; Leg curl. |
Camera (photography); Goniometer. |
0, 20, 40, 60 and 80% of the ROM. | Isometric. | NA. | NA. | NA. | NA. |
| Lurvey et al. (1991) [20] | Theoretical determination. | Leg extension. | Force gauge; Goniometer. |
5-deg increments throughout ROM. | Isometric. | 3 sets. | NA. | 20lbs. | NA. |
| Pizzimenti (1992) [21] | Theoretical and direct determination. | Leg curl. | Isokinetic dynamometer; | Throughout the entire ROM (direct determination); 5-deg increments throughout ROM (theoretical determination). |
Dynamic. | 25×1 (direct determination. | NA. | Randomized 2-10 plates (107-463.8N) | 30 and 60º/s (direct determination. |
| Cabell and Zebas (1999) [17] | Direct determination. | Biceps curl. | Isokinetic dynamometer; | Throughout the entire ROM. | Dynamic. | 25×1 | NA. | Randomized 5-7 plates (average 5 256.1N). | 45, 30 and 60º/s. |
| Folland et al. (2005) [22] | Direct determination. | Leg extension. | Dynamometer. | 50, 70, 90 and 110º, randomly assigned. | Isometric. | 2×3s for each angle. | 20s between contractions; >30s between angles. |
NA. | NA. |
| Folland and Morris (2008) [12] | Theoretical determination. | Leg extension. | ‘‘S’’-beam load cell. | 20, 40, 60, 80, and 100º | Isometric. | 2 trials per angle. | NA. | ~ 5, 15, and 25kg | NA. |
| Dalleau et al. (2010) [11] | Theoretical determination. | Leg extension. | Force transducer; Potentiometer. |
Throughout the entire ROM. | Dynamic. | 2×1 for each load. | 2min. | 40–80kg in increments of 5kg. | Maximum velocity. |
| Walker et al. (2011) [23] | Direct measurement. | Leg press. | Electromechanical isometric leg extension device. | 107º (1/3) of knee extension. | Isometric. | 3-4×3s. | NA. | NA. | NA. |
| Aboodarda et al. (2011) [24] | Direct measurement. | Leg extension. | Force transducer; Goniometer. |
Throughout the entire ROM. | Dynamic. | 1×8. | 1s between reps. | 8RM. | 1.5s concentric and 1.5s eccentric. |
| Peltonen et al. (2012) [25] | Direct measurement. | Shoulder external rotation. | Force transducer; Angle sensor. |
Throughout the entire ROM. | Dynamic. | 2×2. | 2-5min. | 10, 50 and 80%RM. | Self-selected. |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
