The geometry of the tracks left by a bicycle has received much attention recently [9, 10, 11, 18, 20, 27]. In this paper we discuss the connection between the motion of a bicycle and that of a curious device known as a hatchet planimeter, and we will prove a conjecture about this planimeter that was made in 1906. Bicycle. We use a very simple model of a bicycle as a moving segment in the plane....

This paper discusses the mechanical design and simulation of a novel omnidirectional wheel based on Reuleaux-triangles. The main feature of our omniwheel is that the point of contact of the wheel with the floor is always kept at the same distance from the center of rotation by mechanical means. This produces smooth translational movement on a flat surface, even when the profile of the complete ...

This paper presents the design, implementation and evaluation of a sonification system, which gives real-time auditory feedback to a performer who is carrying out moves on sports equipment called a German wheel. The paper starts with a brief description of different German wheel move categories and of relevant research on movement sonification to present how these motivated some of our design d...

Application of the method of the principal components at the analysis of bearing ability of the wheel pair of the car. In this article it is given proof of the method of the principal components to the analysis of calculation of the stress-deformed condition of the wheel pair of the freight car. The statistical result estimation method allows to get mathematical models for researching parameter...

Wheel roughness measurements available from several different campaigns are presented in terms of average levels and dispersion. The dependence on factors such as brake type and whether the wheel is powered or trailing is also addressed. A method to decide how many wheels from a train are to be measured is then presented. Finally, the main outcomes are described from a round robin test aimed at...

We have previously shown that cocaine enhances gene regulation in the sensorimotor striatum associated with procedural learning in a running-wheel paradigm. Here we assessed whether cocaine produces enduring modifications of learning-related changes in striatal neuron activity, using single-unit recordings in anesthetized rats 1 day after the wheel training. Spontaneous and cortically evoked sp...

let g be a (p, q) graph. let f : v (g) → {1, 2, . . . , k} be a map. for each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of g if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1....

objectives: wheelchairs are the prime mobility aid of persons with spinal cord injuries. manual wheelchair propulsion puts a lot of demand on the cardiopulmonary as well as the skeletal system. the main purpose of the study was to compare the effects of both arm ergometry training and progressive resistance exercise training of upper limbs on resting heart rate and distance covered during wheel...