Solving problems is an essential part of the understanding process.
Motion in two dimensions with one dimensional acceleration (projectile) is analyzed with component motions in coordinate system, whereas motion in two dimensions with two dimensional acceleration (circular motion) is analyzed with the help of component accelerations - tangential and normal accelerations.
Solving problems is an essential part of the understanding process.
Analysis of resultant motion is best fit to the principle of independence of motion in mutually perpendicular directions.
Analyzing collision situation involves application of basic conservation principles in a closed system.
Worked example involving angles of friction using a past LC question.
The angular momentum in rotation is a subset of angular momentum about a point in general motion.
Objective questions, contained in this module with hidden solutions, help improve understanding of the topics covered under the module "Angular momentum".
Angular quantities are not limited to rotation about fixed axis only.
Artificial satellites are the backbone of modern communication systems.
Solving problems is an essential part of the understanding process.
A Bright Idea shows several different power sources and asks students to write about friction, electricity, combustion or light.
Students build their own roller coasters using pipe insulation and marbles, and then analyze them using principles of physics. They examine conversions between kinetic and potential energy and frictional effects to design roller coasters that are completely driven by gravity. A class competition is then held to determine the most innovative and successful roller coasters.
There is a characteristic geometric point of the three dimensional body in motion, which behaves yet as a particle.
Under certain condition, COM of rigid bodies is same as geometric center.
Objective questions, contained in this module with hidden solutions, help improve understanding of the topics covered in the modules "Center of mass" and "Center of mass and rigid bodies".
Introduces the concepts, techniques, and devices used to measure engineering properties of materials. Emphasis on measurement of load-deformation characteristics and failure modes of both natural and fabricated materials. Weekly experiments include data collection, data analysis, and interpretation and presentation of results.
Forces in collision are internal to the system of colliding bodies.
16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.
Conservation of angular momentum of an isolated system is a general and fundamental law.
