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contoh soal matematika ekonomi non linear

Chapter 4 Engineering Mechanics for Microsystems Design

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Engineering Mechanics for Microsystems Design Structural integrity is a primary requirement for any device or engineering system regardless of its size. The theories and principles of engineering mechanics are used to assess: (1) Induced stresses in the microstructure by the intended loading, and (2) Associated strains ( or deformations) for the dimensional stability, and the deformation affecting the desired performance by this microstructural component. Accurate assessment of stresses and strains are critical in microsystems design not only for the above two specific purposes, but also is required in the design for signal transduction, as many signals generated by sensors are related to the stresses and strains Induced by the input signals. Static bending of thin plates Mechanical vibration analysis Thermomechanical analysis Fracture mechanics analysis Thin film mechanics Overview of finite element analysis Mechanical Design of Microstructures Theoretical Bases: ● Linear theory of elasticity for stress analysis ● Newton’s law for dynamic and vibration analysis ● Fourier law for heat conduction analysis ● Fick’s law for diffusion analysis ● Navier-Stokes equations for fluid dynamics analysis Mathematical models derived from these physical laws are valid for microcomponents Mechanical Design of Microsystems Common Geometry of MEMS Components Beams: Microrelays, gripping arms in a micro tong, beam spring in micro accelerometers Plates: ● Diaphragms in pressure sensors, plate-spring in microaccelerometers, etc ● Bending induced deformation generates signals for sensors and relays using beams and plates Tubes: Capillary tubes in microfluidic network systems with electro-kinetic pumping (e.g. electro-osmosis and electrophoresis) Channels: Channels of square, rectangular, trapezoidal cross-sections in microfluidic network. • Component geometry unique to MEMS and microsystems: Multi-layers with thin films of dissimilar materials Recommended Units (SI) and Common Conversion Between SI and Imperial Units in Computation Units of physical quantities: …

Engineering Mechanics Blueprint 1 a b c d e 2 a b c ... - stupidsid.com

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System of Coplanar forces Resultant of Concurrent forces, Parallel forces, Non-concurrent Non-parallel system of forces, Moment of force about a point, Couples, Varignon’s Theorem. Distributed Forces in plane (04 marks) Equilibrium of system of coplanar forces Condition of equilibrium for concurrent forces, parallel forces and Nonconcurrent Non-parallel general forces and Couples (04 marks) Friction Introduction to Laws of friction, Cone of friction, Equilibrium of bodies on inclined plane, Application to problems involving wedges, ladders. (04 marks) Kinematics of Particle Velocity & acceleration in terms of rectangular co-ordinate system, Rectilinear motion, Motion along plane curved path, Tangential & Normal component of acceleration, Motion curves (a-t, v-t, s-t curves), Projectile motion, Relative velocities (04 marks) Kinetics of a Particle: Force and Acceleration D’Alembert’s Principle, Equations of dynamic equilibrium, Newton’s second law of motion (04 marks) System of Coplanar forces Resultant of Concurrent forces, Parallel forces, Non-concurrent Non-parallel system of forces, Moment of force about a point, Couples, Varignon’s Theorem. Distributed Forces in plane (06 marks) Equilibrium of system of coplanar forces Condition of equilibrium for concurrent forces, parallel forces and Nonconcurrent Non-parallel general forces and Couples (08 marks) Kinetics of a Particle: Impulse and Momentum Principle of Linear Impulse and Momentum. Law of Conservation of momentum. Impact and collision (06 marks) Center of Gravity and Centroid for plane Laminas (08 marks) Forces in space Resultant of Non-coplanar force systems: Resultant of Concurrent force system, Parallel force system and Non-concurrent non-parallel force system Resultant of Concurrent force system, Parallel force system and Non-concurrent non-parallel force system Equilibrium of Non-coplanar force systems: Equilibrium of Concurrent force system, Parallel force system and Non-concurrent nonparallel force system (06 marks) ...

chapter 12: printed circuit board (pcb) design issues - Analog Devices

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SECTION 12.1: PARTITIONING SECTION 12.2: TRACES RESISTANCE OF CONDUCTORS VOLTAGE DROP IN SIGNAL LEADS—"KELVIN FEEDBACK" SIGNAL RETURN CURRENTS GROUND NOISE AND GROUND LOOPS GROUND ISOLATION TECHNIQUES STATIC PCB EFFECTS SAMPLE MINIDIP AND SOIC OP AMP PCB GUARD LAYOUTS DYNAMIC PCB EFFECTS INDUCTANCE STRAY INDUCTANCE MUTUAL INDUCTANCE PARASITIC EFFECTS IN INDUCTORS Q OR "QUALITY FACTORS" DON'T OVERLOOK ANYTHING STRAY CAPACITANCE CAPACITATIVE NOISE AND FARADAY SHIELDS BUFFERING ADCs AGAINST LOGIC NOISE HIGH CIRCUIT IMPEDANCES ARE SUSCEPTIBLE TO NOISE PICKUP SKIN EFFECT TRANSMISSION LINES DESIGN PCBs THOUGHTFULLY DESIGNNING+B46 CONTROLLED IMPEDANCE TRACES ON PCBs MICROSTRIP PCB TRANSMISSION LINES SOME MICROSTRIP GUIDELINES SYMMETRIC STRIPLINE PCB TRANSMISSION LINES SOME PROS AND CONS OF EMBEDDING TRACES DEALING WITH HIGH SPEED LOGIC LOW VOLTAGE DIFFERENTIAL SIGNALLING (LVDS) REFERENCES BASIC LINEAR DESIGN SECTION 12.3: GROUNDING STAR GROUND SEPARATE ANALOG AND DIGITAL GROUNDS GROUND PLANES GROUNDING AND DECOUPLING MIXED SIGNALS ICs WITH LOW DIGITAL CONTENT TREAT THE ADC DIGITAL OUTPUTS WITH CARE SAMPLING CLOCK CONSIDERATIONS THE ORIGINS OF THE CONFUSION ABOUT MIXED SIGNAL GROUNDING SUMMARY: GROUNDING MIXED SIGNAL DEVICES WITH LOW DIGITAL CURRENTS IN A MULTICARD SYSTEM SUMMARY: GROUNDING MIXED SIGNAL DEVICES WITH HIGH DIGITAL CURRENTS IN A MULTICARD SYSTEM GROUNDING DSPs WITH INTERNAL PHASE-LOCKED LOOPS GROUNDING SUMMARY GROUNDING FOR HIGH FREQUENCY OPERATION BE CAREFUL WITH GROUND PLANE BREAKS REFERENCES

Mill Series Training Manual Haas CNC Mill ... - Productivity Inc.

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This Manual is the Property of Productivity Inc The document may not be reproduced without the express written permission of Productivity Inc. The content must not be altered, nor may the Productivity Inc name be removed from the materials. This material is to be used as a guide to operation of the machine tool. The Operator is responsible for following Safety Procedures as outlined by their instructor or manufacturer s specifications. To obtain permission, please contact trainingmn@productivity.com. Haas CNC Mill Programming Training Manual Table of Contents INTRODUCTION......... 4 MACHINE HOME WITH WORK OFFSETS.............. 6 WORK COORDINATE SELECTION.............. 7 TOOL LENGTH COMPENSATION G43....... 8 ABSOLUTE AND INCREMENTAL POSITIONING...... 9 THE CARTESIAN COORDINATE SYSTEM.... 10 WORD ADDRESS PROGRAMMING....... 11 PROGRAMMING...... 12 ALPHABET WORD ADDRESS ASSIGNMENTS....... 13 PREPARATORY FUNCTIONS (G CODES)...... 18 MACHINE FUNCTIONS (M CODES)..... 21 PROGRAM STRUCTURE AND FORMAT... 25 PROGRAM FORMAT...... 26 MACHINE DEFAULTS.................. 27 PROGRAMMING WITH CODES........... 28 PROGRAM STRUCTURE............. 29 LINEAR AND CIRCULAR TOOL PATHS.......... 31 LINEAR/CIRCULAR MOVEMENT CREATING TOOL PATH......... 32 INTERPOLATION COMMANDS.......... 33 CIRCULAR INTERPOLATION (G02 AND G03) COMMANDS........... 34 CUTTER COMPENSATION (G41, G42)......... 39 FORMULAS TAPPING, SPEEDS AND FEEDS....... 47 DRILLING, TAPPING, BORING CANNED CYCLES...... 48 CANNED CYCLES.............. 49 LOOPING COMMAND CYCLES......... 69 BOLT HOLE PATTERNS......... 71 ADDITIONAL G CODES........ 74 MILLING CIRCLES WITH CUTTER COMP................. 76 THREAD MILLING........ 77 CIRCULAR POCKET MILLING USING G12 AND G13................. 78 CIRCULAR PLANE SELECTION.............. 83 INCH / METRIC SELECTION (G20, G21)............... 84 SETTING WORK, TOOL OFFSETS THROUGH THE PROGRAM (G10).......... 85 GENERAL PURPOSE POCKET MILLING (G150)..... 86 ENGRAVING (G47)................. 93 SUBROUTINES (SUBPROGRAMS)................ 96 SUBROUTINES............... 97 EXERCISES......... 99 FINAL EXERCISES......... 103 Productivity Inc - Haas CNC Mill Programming Manual

History of Cornrow Braiding - ceuapproved

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Cornrow Braiding Originates in Africa Cornrow braids are not only widespread in Africa, they are also quite ancient. This clay sculpture with cornrows is from the ancient Nok civilization of Nigeria. It may be as old as 500 B.C. As Peters (1990) notes in her essay on black hairstyle history: "Hieroglyphs and sculptures dating back thousands of years illustrate the attention Africans have paid to their hair. Braids were etched into the back of the head of the majestic sphinx." Cornrow hairstyles in Africa also cover a wide social terrain: religion, kinship, status, age, ethnicity, and other attributes of identity can all be expressed in hairstyle. Just as important is the act of braiding, which transmits cultural values between generations, expresses bonds between friends, and establishes the role of professional practitioner. There are a vast variety of traditional African styles, ranging from complex curves and spirals to the strictly linear composition of this 1939 Dan style from Côte d’Ivoire. The date of this photo, 1939, helps remind us that cornrows were invented long before the civil rights era in the United States. It might seem tempting to look at the original African styles as more "natural," and our computer geometry models as more "artificial." But stylized geometric models of cornrows are quite traditional to Africa. As we can see in this traditional Mende sculpture: Mathematics is also a traditional part of African hairstyles. ...

Stryer “Biochemistry” Chapter 5. DNA, RNA, and the Flow of Genetic ...

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This flow of information is dependent on the genetic code, which defines the relation between the sequence of bases in DNA (or its mRNA transcript) and the sequence of amino acids in a protein. The code is nearly the same in all organisms: a sequence of three bases, called a codon, specifies an amino acid. Codons in mRNA are read sequentially by tRNA molecules, which serve as adaptors in protein synthesis. Protein synthesis takes place on ribosomes, which are complex assemblies of rRNAs and more than 50 kinds of proteins. The last theme to be considered is the interrupted character of most eukaryotic genes, which are mosaics of nucleic acid sequences called introns and exons. Both are transcribed, but introns are cut out of newly synthesized RNA molecules, leaving mature RNA molecules with continuous exons. The existence of introns and exons has crucial implications for the evolution of proteins. 5.1. A Nucleic Acid Consists of Four Kinds of Bases Linked to a Sugar-Phosphate Backbone The nucleic acids DNA and RNA are well suited to function as the carriers of genetic information by virtue of their covalent structures. These macromolecules are linear polymers built up from similar units connected end to end (Figure 5.1). Each monomer unit within the polymer consists of three components: a sugar, a phosphate, and a base. The sequence of bases uniquely characterizes a nucleic acid and represents a form of linear information. ...

Brosur Buku Pelajaran & Pengayaan FA - Surya EduGASING

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kan antara lain buku-buku teks pelajaran berbahasa Indonesia dan bilingual ... Kandel juga menerbitkan buku-buku pengayaan Matematika bagi siswa.

menggunakan buku pelajaran dengan efektif.pdf - Staff UNY

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Buku pelajaran merupakan salah satu sumber belajar yang memberikan andil cukup besar dalam upaya memperluas kesempatan memperoleh pendidikan dan meningkatkan mutu proses dan hasil pembelajaran (B.P. Sitepu, 2005: 114). Kebutuhan akan buku pelajaran semakin terasa ketika jumlah dan mutu guru yang tersedia belum memadai. Di tempat-tempat tertentu, masih banyak guru yang mengandalkan buku pelajaran sebagai satu-satunya sumber belajar dan pembelajaran. Guru mempersiapkan, melaksanakan, dan mengevaluasi pembelajaran dengan mengacu sepenuhnya pada isi buku pelajaran. Siswa juga menggunakan buku pelajaran di sekolah dan di rumah sebagai sumber belajar utama. Kebijakan tiap sekolah dalam memberikan buku pelajaran secara gratis untuk setiap siswa didasarkan pada prinsip perlakuan yang sama dan kesetaraan kesempatan. Karena alasan inilah, buku pelajaran secara luas digunakan dan bisa dipastikan akan terus digunakan sampai tahun-tahun mendatang. Hal ini terlihat dari keberterimaan yang relatif luas terhadap buku pelajaran sebagai sumber belajar yang berharga, khususnya bagi mata pelajaran Ilmu Pengetahuan Sosial (IPS). Oleh karena itu, penting bagi guru untuk mulai belajar bagaimana menggunakan buku-buku ini dengan efektif. Tulisan ini mencoba menawarkan cara menggunakan buku pelajaran IPS dengan efektif kepada para guru di sekolah dasar sehingga sedapat mungkin mampu memenuhi tuntutan kurikulum serta dapat meningkatkan mutu proses dan hasil pembelajaran. Kompleksitas Materi dalam Buku Pelajaran IPS Buku pelajaran IPS SD merupakan buku pegangan guru dalam menyajikan materi kurikulum. Apabila dicermati, meskipun penulisan buku tersebut sudah disesuaikan dengan tingkat kemampuan pembacanya, masih ada saja permasalahan yang berkaitan dengan kesulitan membaca yang dihadapi siswa. Hal ini bisa terjadi karena buku-buku ini dirancang untuk menangani konten substantif. Artinya, istilah dan konsep yang berkaitan dengan subjek harus digunakan ketika menjelaskan ide-ide yang disajikan. Sebagai contoh, dalam buku dituliskan  ...

KAJIAN TEORI - Deskripsi Teoretik Buku Pelajaran

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