Physical Sciences and Mathematics Commons^™

Mechani-Kits Senior Design Project, Jake Utley, Sophie Carson, Vincent Seguin

Mechanical Engineering

Studies suggest that when designed and executed well, hands-on activities can enhance student understanding of key mechanics concepts. Current products are expensive and typically not designed to meet a variety of learning objectives. Through the Mechanics of Inclusion and Inclusivity in Mechanics grant, the Cal Poly Physics and Engineering Departments are seeking to incorporate new hands-on activities into their courses. Our team has designed three inexpensive ”MechaniKits” to be used in physics, statics and dynamics courses [1]. This Final Design Review outlines our findings, objectives, and final designs for this project. It also explains our manufacturing and design verification plans. …

Toy Blocks And Rotational Physics, Gabriele U. Varieschi, Isabel R. Jully

Gabriele Varieschi

Have you ever observed a child playing with toy blocks? A favorite game is to build towers and then make them topple like falling trees. To the eye of a trained physicist this should immediately look like an example of the physics of “falling chimneys,” when tall structures bend and break in mid-air while falling to the ground. The game played with toy blocks can actually reproduce well what is usually seen in photographs of falling towers, such as the one that appeared on the cover of the September 1976 issue of The Physics Teacher.1 In this paper we describe …

Toy Models For The Falling Chimney, Gabriele U. Varieschi, Kaoru Kamiya

Gabriele Varieschi

In this paper we review the theory of the ‘‘falling chimney,’’ which deals with the breaking in mid-air of tall structures when they fall to the ground. We show that these ruptures can be caused by either shear forces typically developing near the base, or by the bending of the structure which is caused primarily by the internal bending moment. In the latter case the breaking is more likely to occur between one-third and one-half of the height of the chimney. Small scale toy models are used to reproduce the dynamics of the falling chimney. By examining photos taken during …

On The Generalized Linear And Non-Linear Dfc In Non-Linear Dynamics, Dmitriy Dmitrishin, Anna Khamitova, Alexander M. Stokolos

Department of Mathematical Sciences Faculty Publications

The article is devoted to investigation of robust stability of the generalized linear control of the discrete autonomous dynamical systems. Sharp necessary conditions on the size of the set of multipliers that guaranty robust stabilization of the equilibrium of the system are provided. Surprisingly enough it turns out that the generalized linear delayed feedback control has same limitation as the classical Pyragas DFC. This generalized Ushio 1996 DFC limitation statement. Note that in scalar case a generalized non-linear control can robustly stabilize an equilibrium for any admissible range of multipliers. In the current article similar result is obtained in the …

Dynamics Of Land Use/Land Cover Changes And Its Implication On Food Security In Anyigba, North Central, Nigeria, Tokula E. Arome, Sunday P. Ejaro (Phd)

Confluence Journal Environmental Studies (CJES), Kogi State University, Nigeria

This study assessed land use/land cover changes and its effect on Agricultural land in Anyigba. The objectives were to identify and delineate different land use / land cover categories, assess the rate of change that occurred and examine the impact of land use/land cover change on food security using satellite remote sensing data collected at three different years (1987 Land sat TM, 2001 Land Sat TM and 2011 Land Sat ETM). The study utilized GIS software such as Idrisi Andes academic and ArcGIS 9.3. The study area covers approximately 31.8km2, and four major land use/cover classes were utilized (built up, …

Assessing The Effect Of Simulation Models On Systems Learning In An Introductory Environmental Science Course, Heather J. Skaza

UNLV Theses, Dissertations, Professional Papers, and Capstones

While there is plenty of anecdotal evidence within the systems dynamics community supporting the use of systems simulations in the classroom to improve student understanding, there is little published, controlled, experimental research. This paper describes the results of a paired experiment testing the effect of using system dynamics simulations to increase systems understanding in an introductory environmental science course. We believed that the students using the systems simulations would demonstrate a greater systemic understanding of environmental issues than those who did not.

We conducted an experiment during the fall semester of 2009, with 304 students enrolled in four sections of …

Toy Blocks And Rotational Physics, Gabriele U. Varieschi, Isabel R. Jully

Physics Faculty Works

Have you ever observed a child playing with toy blocks? A favorite game is to build towers and then make them topple like falling trees. To the eye of a trained physicist this should immediately look like an example of the physics of “falling chimneys,” when tall structures bend and break in mid-air while falling to the ground. The game played with toy blocks can actually reproduce well what is usually seen in photographs of falling towers, such as the one that appeared on the cover of the September 1976 issue of The Physics Teacher.1 In this paper we describe …

Toy Models For The Falling Chimney, Gabriele U. Varieschi, Kaoru Kamiya

Physics Faculty Works

In this paper we review the theory of the ‘‘falling chimney,’’ which deals with the breaking in mid-air of tall structures when they fall to the ground. We show that these ruptures can be caused by either shear forces typically developing near the base, or by the bending of the structure which is caused primarily by the internal bending moment. In the latter case the breaking is more likely to occur between one-third and one-half of the height of the chimney. Small scale toy models are used to reproduce the dynamics of the falling chimney. By examining photos taken during …