Importance of upper-limb inertia in calculating concentric bench press force

Olivier Rambaud1, Abderrahmane Rahmani, Bernard Moyen

  • 1Biomechanics and Impact Mechanics Laboratory, Claude Bernard University Lyon 1, Lyon-South Teaching Hospital, Oullins, France. orambaud@univ-lyon1.fr

Related Concept Videos

Moment of Inertia: Calculations01:09

Moment of Inertia: Calculations

The moment of inertia of an object depends on its axis of rotation. Consider a barbell consisting of two masses attached to the ends of a rod. The masses at the end can be considered point masses, and the rod can be assumed to have negligible weight. The moment of inertia of the barbell can be calculated using the mathematical definition of the moment of inertia once the system's rotation axis is decided. Suppose the point masses m are fixed at a distance R from the center of the rod, the...
Product of Inertia for an Area01:13

Product of Inertia for an Area

Mechanical engineering involves making use of correct calculations to ensure that machines and structures are sturdy and long-lasting. One such calculation is the product of inertia for an area. It is a measure of how the mass of a structure is distributed around its centroid. It determines the structure's ability to resist rotational forces and affects the magnitude and direction of the stresses it experiences when subjected to external forces.
To calculate the product of inertia for any...
Angular Momentum and Principle Axes of Inertia01:09

Angular Momentum and Principle Axes of Inertia

The concept of angular momentum for a solid structure is illustrated as the cumulative result of the cross-product of the position vector of the mass element and the cross-product of the body's angular velocity with the position vector.
To put this equation into simpler terms, it can be reconfigured using rectangular coordinates. This involves choosing an alternative set of XYZ axes that are arbitrarily inclined with respect to the reference frame. The process of deriving the rectangular...
Upward Impending Motion01:21

Upward Impending Motion

A square-threaded screw jack is a mechanical device widely used for lifting heavy loads or applying considerable force. Its operation is based on converting the force applied at its handle into a torsional moment, causing the upward impending motion of the screw. This movement is accomplished by overcoming the static friction between the threads of the screw and the jack.
To better comprehend how a screw jack functions, consider the completely unraveled thread as a block in contact with the...
Moments and Product of Inertia01:23

Moments and Product of Inertia

The calculation of the moment of inertia for a differential element within a rigid body involves multiplying the element's mass by the square of the minimum distance from any one of the three-coordinate axes to the said element. This is a process that can be extended to cover the entire mass of the body by simply integrating the expression, thereby ascertaining the body's moment of inertia.
Moments of Inertia for an Area about Inclined Axes01:18

Moments of Inertia for an Area about Inclined Axes

In physics and engineering, understanding the moments of inertia for a given area with asymmetrical mass distribution is critical for proper design and analysis. When considering an arbitrary coordinate system, the moments of inertia can be obtained by integrating the moment of inertia for an infinitesimal area element.