Bertrand's theorem in classical mechanics of the central force fields attracts us because of its predictive power. It categorically proves that there can only be two types of forces which can produce stable, circular orbits. In this paper an attempt has been made to generalize Bertrand's theorem to the central force problem of relativistic…

When the concept of force is first taught in the elementary curriculum, it is usually introduced as a push or a pull. The recently released "A Framework for K-12 Science Education" describes grade band endpoints for the Core Idea: Motion and Stability: Forces and Interactions (NRC 2011). It states that by the end of grade 2 students should know…

In teaching the materials science aspects of physics, mechanical behaviour is important due to its relevance to many practical applications. This article presents a method for experimentally examining the toughness of chocolate, including a design for a simple test rig, and a number of experiments that can be performed in the classroom. Typical…

One of the subjects that is confusing and difficult for students to fully comprehend is the concept of angular velocity and linear velocity. It is the relationship between linear and angular velocity that students find difficult; most students understand linear motion in isolation. In this article, we detail the design, construction and…

A Faraday cage is an interesting physical phenomenon where an electromagnetic wave can be excluded from a volume of space by enclosure with an electrically conducting material. The practical application of this in the classroom is to block the signal to a mobile phone by enclosing it in a metal can. The background of the physics behind this is…

When the LHC started running at the end of March 2010--after a 14-month shutdown for major repairs--one of the main objectives was reaching a luminosity of 10[superscript 32] cm [superscript -2] s [superscript -1] by the end of 2010. On 13 October 2010 that goal was achieved. One important parameter to take into account to reach this luminosity is…

Imaging of three-dimensional objects by lenses and mirrors is sometimes poorly indicated in textbooks and can be incorrectly drawn. We stress a need to clarify the concept of longitudinal magnification, with simulated images illustrating distortions introduced along the optical axis. We consider all possible positions of the object for both a…

A very low-cost, easy-to-make stopwatch is presented to support various experiments in mechanics. The high-resolution stopwatch is based on two photodetectors connected directly to the microphone input of a sound card. Dedicated free open-source software has been developed and made available to download. The efficiency is demonstrated by a free…

Sir Nevil Maskelyne is remembered by many as the main rival to clockmaker John Harrison in the famous "Longitude" affair of the 18th century. However, his contributions to science go well beyond this often misreported drama; three of his many observations and developments are considered here in the year marking the 200th anniversary of his death.…

The commercial resonance demonstration apparatus shown in Fig. 1 exhibits curious behavior. It consists of three pairs of slender spring-steel rods attached to a horizontal bar. When one of the rods is pulled aside and released, the rod of corresponding length is excited into visible motion, but the other rods remain apparently stationary. This…

There is a remarkable difference between formal knowledge and true understanding of the subject. While the former helps students earn top grades, the latter is crucial to the solution of real-world problems. An excellent example is the computation of capacitance, with which some students have difficulty. Also, most textbooks limit problem analysis…

The air-cushion table is a powerful instrument to demonstrate the motion of an object in the absence of friction. Such devices are often rather large and do not fit very easily in the classroom. In a different version of this experience, gas comes directly out of the disc itself, which is provided, for example, by a tank of dry ice that slowly…

We describe an example of learning with multiple representations in an A-level revision lesson on mechanics. The context of the problem involved the motion of a ball thrown vertically upwards in air and studying how the associated physical quantities changed during its flight. Different groups of students were assigned to look at the ball's motion…

We consider a demonstration in which pupils alternately slide and stop their fingers under a long horizontal rod which they support. The changeover is described in terms of the relevant kinetic and static friction. We present a model calculation, performed on a spreadsheet, which clarifies the process and describes graphically the stepwise…

In some countries physics lessons are limited in many cases due to different constraints to lecturing and rote learning with in short supply use of teaching materials and other practical activities. These limitations can make physics abstract and difficult for students to understand. This paper presents one of activities, which can be done by…