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SLOVAK UNIVERSITY of TECHNOLOGY IN BRATISLAVA FACULTY OF MECHANICAL ENGINEERING INSTITUT OF APPLIED MECHANICS AND MECHATRONICS B Sc SYLLABUS ENGINEERING MECHANICS I STATICS Number of subject 2 5510 Study discipline all study program Number of credit 5 Lectures 26 hour 2 hour week 13 week term Warrantor of subject Assoc Prof M Sc PhD Stanislav iaran Lecturer Assoc Prof M Sc PhD Stanislav iaran Year first summer Seminars 26 hour 2 hour week 2008 Key words vector force equilibrium rigid body constrain centre of gravity friction locking journal rolling virtual stability motion 1 Engineering mechanics Basic concepts Axioms Newton s laws History of mechanics Units and dimension Problem solving and accuracy of solution Methods a procedures of the solving of problems Application of vector calculus Forces and lines of action rectangular components Moments moment of a force about a point a line the couple Varignon s theorem 2 Force systems Equipollence Continue to download »
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SLOVAK UNIVERSITY of TECHNOLOGY IN BRATISLAVA FACULTY OF MECHANICAL ENGINEERING INSTITUT OF APPLIED MECHANICS AND MECHATRONICS B Sc SYLLABUS ENGINEERING MECHANICS II DYNAMICS Number of subject 2 5520 Study discipline all study program No of credit 6 Lectures 39 hour 3 hour week 13 week term Warrantor of subject Lecturer Assoc Prof M Sc PhD Stanislav iaran Year second summer Seminars 26 hour 2 hour week 2008 Key words vector mass rigid body constrain motion dynamic equilibrium work energy impulse vibration impact gyroscope reaction 1 Introduction to Dynamics Kinematics of Particles History and modern application Basic concepts Newton s laws Units Formulation and solution of dynamics problems Rectilinear motion of particles General plane curvilinear motion Rectangular co ordinates Normal and tangential co ordinates Space curvilinear motion Relative motion Constrained motion of connected particles 2 Kinetics of Particles Linear momentum of a 
CHAPTER 1 Introduction to Financial Modeling W hat is a financial model What is the difference between a financial model and the spreadsheet solutions you create or VBA programs you write all the time to answer financial questions or solve financial problems A simple practical answer is that a financial model is designed to represent in mathematical terms the relationships among the variables of a financial problem so that it can be used to answer what if questions or make projections Some of the spreadsheet solutions that people create capture some of these relationships as well and therefore can answer what if questions to some extent But because they are not primarily designed with these objectives in mind they do not try to capture as many of these interdependencies as possible and their structures often make it cumbersome to answer what if questions or make projections with them This may sound a little abstract So let us look at a simple concrete example Suppose you are using a spreadsheet to calculate based on your taxable income what your after tax 
Engineering mechanics Dynamics Division 1 Tutorial 12 Tutorial answer sheets should be submitted in tutorial class Monday itself Data not given can be assumed Text books can be referred 1 A slender rod of length l is pivoted about a point C located at a distance b from its center G It is released from rest in a horizontal position and swings freely Determine a the distance b for which the angular velocity of the rod as it passes through a vertical position is maximum b the corresponding values of its angular velocity fig 1 5 marks 2 A 30 kg uniform circular plate of radius r is supported by a ball and socket joint at point A and is at rest in the vertical xy plane when a bullet with a mass of 15 g is fired with the velocity v0 210 m s k and hits the plate at point C Knowing that r 400 mm and h 700 mm determine a the angular velocity of the plate immediately after the bullet becomes embedded b the impulsive reaction at point A assuming that the bullet becomes embedded in 1 1 ms fig 2 5 marks 3 The uniform thin 2 3 kg disk spins at a constant rate of 6 rad s about an axis 
Introduction to Chemistry Chemistry is the central science It s the foundation upon which all other sciences are based embraces all other sciences It s the study of properties and changes of matter and its interactions with energy Beauty of chemistry lies in its ability to simplify a seemingly terrifyingly complex universe where everything is constantly changing on one time scale or another into few fundamental principles that enable us to understand appreciate and change our world 1 1 Chapter Concept Map 1 Copyright 2007 by Concise Books Publishing LLC Visit us at www concisechem com to download other free chapters from The Concise Guide to Chemistry C H A P T E R 1 I N T R O D U C T I O N T O C H E M I S T R Y 1 2 Study of Chemistry Chemistry is the study of matter and changes that it undergoes It is the study of elements the compounds that they form and reactions that they undergo Chemistry enables us to comprehend how the world works so that we can appreciate its beauty modify aspects of it and create new materials Inquisitive Chemist 1 
