The small angle approximation sin[theta approximately theta] is central to all treatments of the simple pendulum as a harmonic oscillator and is typically asserted as a result that follows from calculus. Here, however, we show that the geometry of the pendulum "itself" offers a route to understanding the origin of the small angle…

The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

A Slinky is a loose helical coil spring and is a well-known educational toy. In this paper a model for a Slinky is presented. The Slinky is represented as a sequence of rigid half coils connected by torsional springs. A range of Slinky configurations in static equilibrium are calculated. Where possible the torsion spring model is compared with the…

In this article, we introduce the notion of "motion simulation hinge" and discuss its role in mental simulation of previously-experienced motion events and also mental simulation of scientific concepts in terms of motion events. Motion simulation hinge is defined as a static imaginary object or area around which or relative to which a…

To combat the ever-increasing number of symptoms of ADHD in the classroom, this article suggests a few strategies and a one-week physical activity plan for educators to adopt during the school day. These strategies are easily implemented, requiring no additional equipment, tools or extra time.

On 24 June 1994 at Fairchild Air Force Base, during practice for an air show, a low-flying B-52H aircraft banked its wings vertically and crashed. Emphasizing the activity of modeling drag and gravity, these notes examine the possibility of recovery with several models. First, with algebra, historical data lead to a model where in a free fall near…

This work aimed to outline the first stages for the development of a pedagogical model for teaching-learning of expressive content within physical education (creative body movement). Drawing on several suggestions from previous models' conceptualizations, we explore and present the theoretical foundations, practical considerations, and assumptions…

Quantum science is in the news daily and engages students' interest and curiosity. A fundamental quantum science concept that underpins medical imaging, quantum computing and many future technologies is quantum spin. Quantum spin can explain many physical phenomena that are in the lower secondary school curriculum, such as magnetism and light,…

Below the surface of the ocean, currents, eddies, and other physical processes redistribute energy and biologically important elements. Measuring this transport can be challenging, and scientists must address a wide spectrum of oceanographic and engineering concepts when designing instruments to observe these processes. In this activity,…