The simple harmonic vibration, damping vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first investigate the general situation where both viscous resistance and applied force are considered under the perspective of the renormalization group theory. Then...

Commercially available prosthetic hands are simple grippers with one or two degrees of freedom; these pinch type devices have two rigid fingers in opposition to a rigid thumb. This paper focuses on an innovative approach for the design of a myoelectric prosthetic hand. The new prosthesis features underactuated mechanisms in order to achieve a natural grasping behavior and a good distribution of...

This report makes a case for the need to examine the methodological foundations of AI. Many aspects of AI have not yet developed to a point of general agreement. The goals of AI work, the methods for acheiving these goals, the presentation of results, and the assessment of claims are all highly contentious issues. All aspects of AI methodology are subject to debate The Workshop on the Foundatio...

Problem 1. Infinite Products and Coproducts in Ab. We have seen that finite products and coproducts agree in Ab. However, the same is not true for infinite products and coproducts. Let I be a set and let {Ai}i∈I be a family of abelian groups, each equal to some fixed group A. (a) Show that the set AI := HomSet(I, A) is an abelian group. Furthermore, show that we can think of this group as the i...

In colloidal probe atomic force microscopy (AFM) surface forces cannot be measured without an accurate determination of the cantilever spring constant. The effective spring constant k depends upon the cantilever geometry and therefore should be measured in situ; additionally, k may be coupled to other measurement parameters. For example, colloidal probe AFM is frequently used to measure the sli...

The calcaneonavicular (spring) ligament complex is the soft tissue most often seen to fail in flatfoot pathology and is associated with deformity of the talonavicular joint. The spring ligament complex supports the talar head, preventing it from displacing into excessive plantar flexion/adduction. An anatomical reconstruction of the spring ligament should replicate this function. A new method o...

Determination of density of liquid Springs have wide applications in physics and engineering. In physics laboratories, the students are often asked to find out the value of the spring constant of a given spring. The method generally they follow is based on Hooke’s law. This law states that the extension (x) of a spring within its elastic limit is directly proportional to the force applied to it...