Components of the total kinetic moment in jumping horses

P Galloux1, E Barrey

  • 1Ecole Nationale d'Equitation, Terrefort, Saumur, France.

Related Concept Videos

Moment of Inertia01:14

Moment of Inertia

The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
If a rigid body is rotating about an axis but is not in translational motion, its translational kinetic energy is zero. However, since each particle undergoes rotational motion, it possesses non-zero velocity and kinetic energy. Thus, the kinetic energy of the rigid body, which is the sum of the...
Moment of Inertia and Rotational Kinetic Energy00:52

Moment of Inertia and Rotational Kinetic Energy

The rotational kinetic energy of a body is equal to half the square of its angular speed and the moment of inertia.
This relationship between the rotational kinetic energy of a body and its angular speed implies that for the same angular speed, the rotational kinetic energy is greater if its moment of inertia is greater. Thus, more work needs to be done on the body to change its rotational kinetic energy and rotate it at a specific angular speed. Hence, the moment of inertia quantifies the...
Moment of a Force: Scalar Formulation01:18

Moment of a Force: Scalar Formulation

The moment of a force, also known as torque, measures the ability of the force to create rotational motion in a body about an axis. It is a vector quantity, meaning it has both magnitude and direction. This concept is used extensively in engineering, physics, and mechanics.
Consider a simple example of a flywheel being rotated about a point, O, by applying a force to it. In this case, the moment arm is the perpendicular distance between the point O and the line of action of the force. The...
Resultant Moment: Vector Formulation01:30

Resultant Moment: Vector Formulation

When a force is applied to an object, the tendency of the object to rotate about a point is known as its moment. If multiple forces are acting on an object, the sum of moments of all the forces acting on a body can be expressed as the resultant moment of the system. The resultant moment can be considered a vector quantity that can be added and subtracted like any other vector.
The resultant moment of a system of forces can be calculated through vector formulation. For example, if we consider...
Relation Between Moment of a Force and Angular Momentum01:21

Relation Between Moment of a Force and Angular Momentum

In the realm of spinning tops, the application of force at a distance from the center produces torque, a pivotal factor that alters the angular momentum of the top, thereby inducing its rotation. The concept of moment, akin to linear force in rotation, quantifies how a force acting upon an object initiates rotational motion. Angular momentum serves as the rotational counterpart to linear momentum, representing an object's inherent tendency to persist in its rotational state.
The temporal change...
Moment-of-Momentum Equation01:09

Moment-of-Momentum Equation

The moment-of-momentum equation is a critical tool for analyzing the torque produced by the rotating blades of a wind turbine. This equation is derived by applying Newton's second law to a fluid particle, which states that the rate of change of linear momentum is equal to the external force acting on the particle.