...Introductory Physics I Elementary Mechanics by Robert G. Brown Duke University Physics Department Durham, NC 27708-0305 rgb@phy.duke.edu Copyright Notice Copyright Robert G. Brown 1993, 2007, 2013 Notice This physics textbook is designed to support my personal teaching activities at Duke University, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introductory Physics for life science majors, engineers, or potential physics majors, respectively). It is freely available in its entirety in a downloadable PDF form or to be read online at: http://www.phy.duke.edu/∼rgb/Class/intro physics 1.php It is also available in an inexpensive (really!) print version via Lulu press here: http://www.lulu.com/shop/product-21186588.html where readers/users can voluntarily help support or reward the author by purchasing either this paper copy or one of the even more inexpensive electronic copies. By making the book available in these various media at a cost ranging from free to cheap, I enable the text can be used by students all over the world where each student can pay (or not) according to their means. Nevertheless, I am hoping that students who truly find this work useful will purchase a copy through Lulu or a bookseller (when the latter option becomes available), if only to help subsidize me while I continue to write inexpensive textbooks in physics or other subjects. This textbook is organized for ease of presentation and ease of learning. In particular, they are...
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...By partaking in three unique scenarios of both elastic and inelastic collisions, I was able to conclude that speed and velocity are both conserved. This conclusion was made through the change in velocity of a cart relative to its "crasher". For example: throughout the different-mass elastic collisions, the speed that which the cart started and ended were equivalent - indicating that there was conservation of speed, in addition to the complete transfer of velocity. However, in the different-mass elastic collisions, the transfer of the speed of the cart was not complete, but instead, the lighter cart moved quicker than the heavier cart. This shows us that although force may be the same, the transfer of momentum shows us why the lighter cart moves more quickly than the slower. Throughout our previous unit, we described the constant velocity of objects in motion. That laid the basis for this next unit, where we will be studying why and how the object moves the way it does, specifically the "push" or "pull" of force. The heavier cart in a same-direction elastic collision seems to push the lighter cart, which causes an increase in speed for the lighter cart. Although we may have brushed on the surface of movement, this unit will pave the path for further investigation on velocity as well as momentum. According to today's lab, it is possible to measure the mass of the carts and then multiple the mass by the velocity to determine momentum. These two things will be related to almost...
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...by the equation: * PTotali =PTotalf * m1v1i+m2v2i=m1v1f+m2v2f * When working with a complete inelastic collision, the two objects stick together after the collision, and the momentum conservation equation becomes: * PTotali =PTotalf * m1v1i+m2v2i=(m1+m2)vf * During this experiment, photogates will measure the motion of two carts before and after elastic collision. The cart masses can be measured by using a simple mass scale. * Then, total momentum of the two carts before collision will be compared to the total momentum of the two carts after collision. Equipment: 850 Universal | Dynamic Track | Two dynamic carts | Two picket fences | Mounting brackets | Mass Balance | Mass Bar | Two Photogates | Data: Part A – Elastic Collision with approx. equal masses: Trial | V1 i (m/s) | V2 i (m/s) | V1 f (m/s) | V2 f (m/s) | 1 | .310 | 0 | 0 | .287 | 2 | .468 | 0 | 0 | .439 | 3 | .486 | 0 | 0 | .435 | 4 | .274 | 0 | 0 | .254 | 5 | .468 | 0 | 0 | .441 | * m1 = mass of cart 1 = .510 kg * m2 = mass of cart 2 = .529 kg | Part B – Elastic Collision with Unequal Masses: Trial | V1 i (m/s) | V2 i (m/s) | V1 f (m/s) | V2 f (m/s) | 1 | .404 | 0 | -.113 | .245 | 2 | .417 | 0 | -.117 | .253 |...
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...Report Results Summary Elastic Collision Initial Momentum = .414 N | Initial Momentum = 0 N | Initial Kinetic Energy = .084 J | Initial KE = 0 J | V1’ = .0596 m/s | V2’ = .462 m/s | Final Momentum = .061 N | Final Momentum = .354 N | Final KE = .00182 J | Final KE = 0.082 J | Inelastic Collision Initial Momentum = n/a | Initial Momentum = n/a | Initial Kinetic Energy = n/a | Initial KE = n/a | V1’ = n/a | V2’ = n/a | Final Momentum = n/a | Final Momentum = n/a | Final KE = n/a | Final KE = n/a | Discussion For the first part of our lab we were able to successfully show that both kinetic energy and momentum were conserved during the collision. As stated in the lab procedure, we kept one mass heavier than the other and made the heavier object collide with the lighter object at rest. Looking back, there wasn’t too much difference between the sizes of the mass. There was only a 300 gram difference in the system and that may have helped in keeping the collision elastic. The speed was recorded as .404 m/s and that also may have helped in causing the object at rest to bounce off the moving object. We were not able to complete the inelastic collision part of the lab because we were not able to make the objects stick together. We were not sure if the plane the objects were set on was level and this may have caused the objects to keep bouncing away from each other. We also kept the weight and velocity (roughly) the same from the elastic test, which could have...
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...RULES OF MIXTURES FOR ELASTIC PROPERTIES The paper is about the rules of mixtures which are used to express the dependencies of the physical properties and mechanical properties which depend on type, form, quality and arrangement of its constituents, but they are based on various assumptions so one should with caution, especially if they are used anything more than preliminary design. The paper mainly concentrates on expressions for elastic properties which are as follows: Unidirectional Ply- longitudinal modulus: The Figure 1 clearly shows the orthogonal axes and fiber direction, the fiber directions. The first approximation made is E3= E4. And also for deriving the rules of mixtures the following assumptions are made: Fibers are uniform, parallel and continuous. Perfect bonding exists between fibers and matrix. A longitudinal load produces equal strain in fiber and matrix. Using the above assumptions and approximations two rules of mixtures are derived which are E1 = EfVf + EmVm = EfVf + Em (1- Vf) V12= vfVf+vm+Vm These two rules of mixtures are generally accepted as it goes well with experimental data. Unidirectional Ply- Transverse modulus: In this the rules of mixtures are less reliable than those for longitudinal properties as they are based on assumptions of stress distribution. In this the poisson’s contraction is ignored and the stress is assumed to be the same...
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...Assignment 5 (30 points) 1. (5 points) Compute the longitudinal and transverse stiffness E1, E2 of an S-glass epoxylamina for a fiber volume fraction Vf = 0.7, using the properties from attached Tables. 2. (5 points) Plot the longitudinal stiffness E1 of an E-glass/nylon unidirectionally reinforced composite, as a function of the volume fraction Vf of fiber. Use the properties from attached Tables. 3. (5 points) Plot the longitudinal tensile strength of an E-glass/epoxy unidirectionallyreinforced composite, as a function of the volume fraction of fiber, assuming tensile strength follows a volume rule of additivity. Use the properties from attached Tables. 4. (5 points) What is the maximum volume fraction of spherical fillers that could be obtained in the particle-reinforced composite assuming cubic packing? Please show the step. 5. (4 points) Using the Takayanagi model and assuming uniform strain in the matrix, derive a relationship for the transverse, tensile compliance of a unidirectionally-reinforced composite. 6. (6 points) Two test specimens have the same Young’s modulus in tension. However, one of the specimens is homogeneous while the other one has two layers with one layer stiffer than other layer. How will the flexural modulus of the two specimens differ? Explain. (Hint, use Parallel and Series model to calculate the modulus to compare them. Assume the modulus of stiff material is 1X109MPa as and the modulus of soft material is 1X108 , and the volume fraction of each...
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... Conclusions 1. It is necessary that they glide on a cushion of air, so that they can avoid any friction which would slow down their movement and could possibly keep them from colliding. The friction would differ for each mass, and would change all the predicted values. If the masses were not on an air cushion, it is impossible to predict that the two masses would ever collide because of the differing frictions for each mass. 2.If the masses were doubled, the before and after collision velocities would both decrease by a factor of two. Because the gliders would take double the time to get to the same distance for collision as if they were not doubled.(newton’s law) 3.The original assumption of this experiment was that it was an elastic collision because there was no visible deformation or heat loss. After further calculations it...
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...Overview of Amazon Web Services December 2010 Amazon Web Services Overview May 2010 Introduction Managing the unique and groundbreaking changes in both technology and business over the past decade has created an ongoing IT infrastructure challenge for many senior technology executives. Indeed, over the past 10 years, the typical business application architecture has evolved first from a desktop-centric installation, eventually to client/server solutions, and now most prominently to loosely coupled web services and service-oriented architectures (SOA). Each of these evolutionary steps has built upon the previous while adding new challenges, dimensions, and opportunities for IT organizations and their business partners. Recently, virtualization has become a prevalent and widely accepted way to reduce operating costs and increase the reliability of enterprise IT. In addition, concepts such as grid computing make possible a whole new class of analytics, data crunching, and business intelligence tasks that were previously cost- and time-prohibitive. Along with these technology changes there have also been fundamental changes in how markets work, with the speed of innovation and product introductions increasing at an unprecedented rate. Taken alongside the wide acceptance of Software as a Service (SaaS) offerings, all of these concepts have inspired the latest turn in the IT infrastructure challenge: cloud computing. Amazon Web Services (AWS) provides a flexible, cost-effective...
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...Douglas Dickerson NT1310 Physical Networking 9/23/2014 Unit 2 Lab 1: Cloud Computing Research EC2 Amazon: Amazon Elastic Compute Cloud (Amazon EC2) is a web service that provides resizable compute capacity in the cloud. It is designed to make web-scale computing easier for developers. Amazon EC2’s simple web service interface allows you to obtain and configure capacity with minimal friction. It provides you with complete control of your computing resources and lets you run on Amazon’s proven computing environment. Amazon EC2 reduces the time required to obtain and boot new server instances to minutes, allowing you to quickly scale capacity, both up and down, as your computing requirements change. Amazon EC2 changes the economics of computing by allowing you to pay only for capacity that you actually use. Amazon EC2 provides developers the tools to build failure resilient applications and isolate themselves from common failure scenarios Amazon, gives you anywhere between 5GB and 1TB depending on how much you want to pay for the amount of memory. Amazon passes on to you the financial benefits of Amazon’s scale. You have a low rate to pay for the compute capacity you use. To use Amazon EC2 you have to: Select a pre-configured, Amazon Machine Image (AMI) to get up and running...
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...thousands, whether you need them for a few hours or 24/7 AWS is a language and operating system agnostic platform. You choose the development platform or programming model that makes the most sense for your business. You can choose which services you use, one or several, and choose how you use them. This flexibility allows you to focus on innovation, not infrastructure., you still only pay for what you use. AWS is a secure, durable technology platform with industry-recognized certifications and audits: PCI DSS Level 1, ISO 27001, FISMA Moderate, HIPAA, and SAS 70 Type II. Our services and data centers have multiple layers of operational and physical security to ensure the integrity and safety of your data (About AWS, pg.1, 2012). Amazon Elastic...
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...NT1310 Physical Networking Unit 2: Assignments and Homework Lab 1: Cloud Computing Research Amazon: Amazon Elastic Compute Cloud (Amazon EC2) is a web service that provides resizable compute capacity in the cloud. It is designed to make web-scale computing easier for developers. Amazon EC2’s simple web service interface allows you to obtain and configure capacity with minimal friction. It provides you with complete control of your computing resources and lets you run on Amazon’s proven computing environment. Amazon EC2 reduces the time required to obtain and boot new server instances to minutes, allowing you to quickly scale capacity, both up and down, as your computing requirements change. Amazon EC2 changes the economics of computing by allowing you to pay only for capacity that you actually use. Amazon EC2 provides developers the tools to build failure resilient applications and isolate themselves from common failure scenarios. Cost - Inexpensive – Amazon EC2 passes on to you the financial benefits of Amazon’s scale. You pay a very low rate for the compute capacity you actually consume. See Amazon EC2 Instance Purchasing Options for a more detailed description. Amazon EC2 Instance Purchasing Options In addition to providing the flexibility to easily choose the number, the size and the configuration of the compute instances you need for your application, Amazon EC2 provides customers three different purchasing models that give you the flexibility to optimize...
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...Running Head: Cloud Computing Submitted by Raina Knox Strayer University CIS 500 Professor Dr. Robert Culver May 28,2012 Evaluate the scalability, dependability, manageability, and adaptability of Amazon Elastic Compute Cloud (Amazon EC2), Amazon Simple Storage Services (Amazon S3), and RightScale? Elastic Compute Cloud (EC2) EC2 introduces a new paradigm for web hosting. By allowing developers to scale their number of machines up or down within minutes, it offers the capability to create distributed and scalable applications that run in the cloud. EC2 is flexible, reliable, secure, and, most importantly, inexpensive. By only paying for the resources that you actually use, you can bring your multi-server application to market much more cheaply than ever before, and maintain an extremely high level of quality and availability. Let's take a look at some of the basic concepts of how this service work Amazon S3 Amazon S3 provides a simple web services interface that can be used to store and retrieve any amount of data, at any time, from anywhere on the web. It gives any developer access to the same highly scalable, reliable, fast, inexpensive data storage infrastructure that Amazon uses to run its own global network of web sites. The service aims to maximize benefits of scale and to pass those benefits...
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...computing is not strange to people at all. People use their iPhone and their iPad App to store their important files. Microsoft 2013 users use the SkyDrive to store their files and they can access anywhere and anytime. Major venders such as Google, Amazon, and Microsoft have provided Cloud Computing services. This paper discusses the Amazon Web Services (AWS) and evaluates the scalability, dependability, manageability, and adaptability of Amazon Elastic Compute Cloud, Amazon Simple Storage Service, and RightScale. Moreover, this paper examines the security concerns for cloud-based services and assesses scalability, reliability, and cost issues. Assess how Ericsson benefitted from Amazon Web Service (AWS) in terms of cost reduction, automated software updates, remote access, and on-demand availability Ericsson is one of the world’s leading providers of technology and services to telecom operators. There are reasons how Ericsson success like that. According to the Amazon Web Services (AWS) Case study, Ericsson uses AWS such as Amazon Elastic Compute Cloud (Amazon EC2), Amazon Simple Storage Service (Amazon S3), and RightScale for provisioning and auto-scale functionality. AWS give many benefits to Ericsson. For example, Ericsson saves money to invest to build on-premises infrastructure by using AWS. Ericsson also saves the time to build and install the infrastructure. Some of the technical benefits of cloud computing include automation and auto-scaling. AWS had the ability to...
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...services had to offer via the data center sites in the U.S., Europe and other parts of the world (AWS Ericsson , 2012). Ericsson chose Amazon Web Services (AWS) because they felt it was the most cohesive public cloud supplier in the “Rightscale Cloud Management Platform” (Rightscale, 2012). The Ericsson team mentions that “having hosting centers in various regions was important for them. AWS also showed a better quality of service with solid management and a proven track record.” (Amazon Web Services, 2012). Amazon Elastic Compute Cloud provides a fully structured environment, memory, a processor, and out of the box configured software. It provides great quality within minutes on a “pay-as-you-go” (Amazon EC2, 2012). Moreover, it decreases the time required to gain and boot new server illustrations to minutes, permitting you to rapidly measure the size, whether it goes up and down as your computing necessities change. Amazon EC2 changes the economics of computing by permitting you to pay only for space that you actually use. Amazon EC2 offers developers the necessary tools to build failure resistant applications and insulate themselves...
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...Technology’s role cannot be avoided form the development of any business as today’s rapidly changing technological advancements have given leverage to businesses as well as made things easier to individuals or consumers (Mulholland et al., 2010). Emergence of Could Computing has affected the traditional and modern computing and other technologies through its internet-based shared infrastructure. The implementation of cloud computing at Ericsson Corporation brought significant impacts on the way company conducts its business. Discussion Ericsson’s main objective of incorporating cloud technology to its business is to provide easy, convenient access to computer data and IT services, and gain economic benefits through the cloud infrastructure. Ericsson is currently using Amazon Elastic Compute Cloud (Amazon EC2), Amazon Simple Storage Service (Amazon S3), and RightScale to bring agility, cost saving, device and location...
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