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2. A body starts from rest and moves with uniform acceleration of 2m/s2 in a straight line.

a. Calculate the velocity after 5s.

b. Calculate the distance travelled in 5s.

c. Find the time taken for the body to reach 100m from its starting point.

3. An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

4. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

5. Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall? 6. A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled. 7. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon. 8. Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance which the sled travels? 9. A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

10. An engineer is designing the runway for an airport. Of the planes which will use the airport, the lowest…...

...by a multitude of independent kinematic chains. Generally it comprises two platforms which are connected by joints or legs acting in parallel. In recent years, parallel kinematic mechanisms have attracted a lot of attention from the academic and industrial communities due to their potential applications not only as robot manipulators but also as machine tools. The dream of all developers in Machine Tools has always been to combine the flexibility and envelope of the robots with the accuracy and stiffness of traditional Machine Tools. In the last 20 years the focus of this development has been Parallel Kinematics Machines so called PKM. This technology means that the motions in X, Y and Z are performed by three or more parallel axis that gives an outstanding stiffness and accuracy with a maintained flexibility and envelope. Generally, the criteria used to compare the performance of traditional serial robots and parallel robots are the workspace, the ratio between the payload and the robot mass, accuracy, and dynamic behavior. In addition to the reduced coupling effect between joints, parallel robots bring the benefits of much higher payload-robot mass ratios, superior accuracy and greater stiffness; qualities which lead to better dynamic performance. The main drawback with parallel robots is the relatively small workspace. 1.2 OUTLAY OF PROJECT REPORT Objective of our major project is to model, design and fabricate a 2-axis Parallel Kinematic Machine and to test the......

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...are the motor driving parts of the robots. There are different types of motor driving circuits for the different types of motors. The current and the voltage that is needed by the motors is important while man is designing the motor controller part of the circuit. Kinematics Of Robotics Kinematics studies the motion of bodies without consideration of the forces or moments that cause the motion. Robot kinematics refers the analytical study of the motion of a robot manipulator. Formulating the suitable kinematics models for a robot mechanism is very crucial for analyzing the behaviour of industrial manipulators. There are mainly two different spaces used in kinematics modelling of manipulators namely, Cartesian space and Quaternion space. The transformation between two Cartesian coordinate systems can be decomposed into a rotation and a translation. The robot kinematics can be divided into forward kinematics and inverse kinematics. Forward kinematics problem is straightforward and there is no complexity deriving the equations. Hence, there is always a forward kinematics solution of a manipulator. Inverse kinematics is a much more difficult problem than forward kinematics. The solution of the inverse kinematics problem is computationally expansive and generally takes a very long time in the real time control of manipulators. Para sa electricity of robots: http://prime.jsc.nasa.gov/ROV/systems.html OPEN MO NALANG YAN ^^^^^^^^^^^^^^^^^^^^...

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...1 Bases of Kinematics Chapter 2 Force and Motion (Newton’s Laws) Chapter 3 Work and Mechanical Energy Midterm exam after Lecture 6 Chapter 4 Linear Momentum and Collisions Part A Dynamics of Mass Point Part B Laws of Conservation Chapter 5 Rotation of a Rigid Body About a Fixed Axis Assignment given in Lecture 11 Chapter 6 Equilibrium and Elasticity Chapter 7 Gravitation Final exam after Lecture 12 Part C Dynamics and Statics of Rigid Body Chapter 1 Bases of Kinematics 1. 1. Motion in One Dimension Part A Dynamics of Mass Point 1.1.1. Position, Velocity, and Acceleration 1.1.2. One-Dimensional Motion with Constant Acceleration 1.1.3. Freely Falling Objects 1. 2. Motion in Two Dimensions 1.2.1. The Position, Velocity, and Acceleration Vectors 1.2.2. Two-Dimensional Motion with Constant Acceleration. Projectile Motion 1.2.3. Circular Motion. Tangential and Radial Acceleration 1.2.4. Relative Velocity and Relative Acceleration Measurements ● Use laws of Physics to describe our understanding of nature ● Test laws by experiments ● Need Units to measure physical quantities ● Three SI “Base Quantities”: – Length – meter – [m] – Mass – kilogram – [kg] – Time – second – [s] Systems: – SI: Système International [m kg s] – CGS: [cm gram second] 1.1. Motion in one dimension Kinematics ● Kinematics – describes motion ● Dynamics – concerns causes of motion F ma dynamics To describe motion, we need to measure: kinematics –......

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...Self-Principles 17 Stability 18 Symmetry 19 Parallel Axis Theorem 20 Accuracy, Repeatability, & Resolution 21 Accuracy, Repeatability, & Resolution: Mapping 22 Sensitive Directions & Reference Features 23 Structural Loops 24 Preload 25 Centers-of-Action 26 Exact Constraint Design 27 Elastically Averaged Design 28 Stick Figures 29 Topic 3 Study Questions 30 Topic 4: Linkages Linkages 1 History 2 The First Mechanism: The Lever is a 2-bar Linkage 3 Definitions 4 Links 5 Joints: Single Degree-of-Freedom 6 Joints: Multiple Degree-of-Freedom 7 Joints: Higher Pair Multiple Degree-of-Freedom 8 2-Bar Linkages: Triggers 9 3-Bar Linkages (?!) 10 4-Bar Linkages 11 4-Bar Linkages: Booms 12 4-Bar Linkages: Kinematic Synthesis 13 Kinematic Synthesis: 3 Precision Point Example 14 Kinematic Synthesis: Analysis 15 Kinematic Synthesis: Coupler Curves 16 Instant Centers 17 Instant Centers: 4-Bar Linkages 18 Instant Centers: Example 19 5-Bar Linkages 20 5-Bar Linkages: Analysis 21 6-Bar Linkages 22 Extending Linkages 23 Extending Linkages: Scissor Linkages 24 Extending Linkages: Scissor Linkage Example 25 Compliant Mechanisms 26 Compliant Mechanisms: Analysis 27 Manufacturing & Robust Design 28 Mechanism Mania! 29 Topic 4 Study Questions 30 Topic 5: Power Transmission Elements I Power Transmission Elements I 1 Pulleys 2 Pulleys: Capstans 3 Winches 4 Belts & Cables 5 Belts & Cables: Stress, Tension, & Center Distance 6 Belts & Cables: Linear Motion 7 Belts & Cables: Crawler Tracks 8 Belts &......

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... Oils VNII NP 50-1-4f(u) IPM-10 Mobil 390A-2 Oils under specification MiL-PRF-23699 Kinematic viscosity (cSt) At 100oC 3.0 3.75 3.75 4.9-5.4 At – 40oC 2000.0 3000.0 3000.0 10000-12000 Pour point (oC) -60 -60 -60 -55 Requirements for newly-developed lubricants New-generation oils must meet the following requirements: reliable lubrication of all engine components, auxiliary power unit, turborefrigerating unit and hydraulic servo at temperatures from -50оС to + 200оС; flat viscosity-temperature curve and good low-temperature pumpability, ensuring engine start-up without external pre-heating at temperatures between minus 40 and minus 45oC; a homogeneous and stable mixture of fractions, providing a minimal evaporation rate (oil consumption) and stable viscosity during the engine’s service life; high thermal-oxidative stability in the operating temperature range from 200oC and higher; chemical inertness with respect to construction materials and rubber parts. Comparative attributes of foreign specifications for aircraft gas turbine engines MiL-PRF-7808 Grade 4 Kinematic viscosity under 100оС -40оС Flash point (oC) Pour point (oC) Thermal stability at 274oC -kinematic viscosity (%) -acid number (mg KOH/g) -metal weight (mg/cm2) Oxidation and corrosion: 200оС over the course of 96 hours. -kinematic viscosity (%) -acid number (mg KOH/g) 220оС over the course of 40 hours -kinematic viscosity (%) -acid number (mg KOH/g) ERDCO bearing stand: - level of cleanliness of......

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...low-speed maneuvering. Walker and Westneat (1997) experimentally studied fin kinematics of a class of lift-based labriform swimmers, specifically the bird wrasse, whose lift-based pectoral fin force production was a good match with our performance objectives. Ramamurti and Sandberg (2002) computationally studied force production by the bird wrasse and obtained good agreement with the results of Walker and Westneat (1997). We applied this validated computational method to the design and development of a biomimetic pectoral fin propulsor with actively controlled curvature. We have chosen a two-fin test vehicle design in order to demonstrate deforming fin force production and vertical plane control in an underwater environment. We present a model of the dynamics of the vehicle for steady, level flight. The stability of motion in the vertical plane is analyzed, and vehicle geometries and linear control design techniques are considered. 2 Fin Design The fin design begins with an in-depth analysis of the common bird wrasse pectoral fin, placing emphasis on fin kinematics, fluid dynamics, and anatomy. We identified dominant parameters and computationally in- vestigated their effects on force production. The results of our parametric study are presented to aid in future pectoral fin design. We then present the design and rationale of the physically constructed device that can produce the required fin kinematics. Lastly, the experimental measurements from our flapping fin......

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...and obtain solutions to fundamental problems in engineering and physics. A course in kinematics and kinetics of particles and rigid bodies with applications of Newton's second law and the principles of work-energy and impulse momentum. Course Objectives: * Learn the fundamental concepts of engineering Dynamics. * Learn a sound methodology to solve engineering problems that is applicable to all future courses and work. * Develop in the engineering student the ability to analyze any problem in a simple and logical manner. * Analyze the dynamics of particles and rigid bodies with applications * Appreciate that the governing equations in Dynamics are differential equations. Course Outcomes: * Establish coordinates, sign conventions, variables, and parameters that quantify physical conditions or states. * Draw clear and rigorous Free Body Diagrams that accurately describe physical systems, maintaining consistency with assumptions and quantifiers. * Write equations (in vector form) that govern the behavior physical systems, and check that the equations are well-posed. * Determine the solutions using mathematical techniques that are appropriate to their level. * Determine the solutions using software’s that are appropriate to their level. * Check solutions for dimensional consistency and appropriate order of magnitude. * Distinguish kinematics principles from kinetics principles. * Distinguish forces from......

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...Lab #4: Kinematics - Velocity and Acceleration Introduction: The purpose of this lab is to discover and understand the relationships between position, velocity, and acceleration. Additionally, constant/uniform acceleration due to the force of gravity will be examined to find possible mathematical relationships to position and velocity. Velocity and acceleration are changes in position and velocity, respectively, with regards to time. This change can be shown mathematically in calculus derivatives: EQ 1. EQ 2. As dt decreases in value, the instantaneous velocity and acceleration can also be found. Furthermore, if constant acceleration is established, two basic relations between distance, velocity, and the constant acceleration can be found: EQ 3. EQ 4. In any environment near Earth, the acceleration in the vertical direction is constant at a value of g=9.8m/s2 towards the center of Earth or often written as g=-9.8m/s2. In such an environment there is no natural acceleration in the horizontal direction, thus the horizontal motion is analyzed independently of the vertical motion. Thus it can be established that the general form of a position curve for a projectile would follow an inverse parabola shape and the maximum height occurs when vertical velocity is zero. By calculus derivation, it can also be found that the velocity graph would display a linear line with a negative slope. Procedure: This lab consists of two separate but related......

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...UNIVERSITI TUNKU ABDUL RAHMAN Centre Course Year/ Trimester Session : Centre for Foundation Studies (CFS) : Foundation in Science : Year 1 / Trimester 1 : 201505 Unit Code Unit Title Lecturer : FHSC1014 : Mechanics : Tutorial 1: Introduction. 1. How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (f) 3236, and (g) 8700? 2. The diameter of the earth is about 1.27 x 107 m. Find its diameter in (a) Millimeters, (b) Megameters, (c) Miles 3. Express the following using the prefixes: (a) 1×106 volts, (b) 2×106 meters, (c) 6×103 days, (d) 18×102 bucks, and (e) 8×109 pieces. 4. The speed limit on an interstate highway is posted at 75 mi/h. (a) What is this speed in kilometers per hour? (b) In feet per second? (c) In meter per second? [(a) 121 km/h, (b) 110 ft/s, (c) 33.5 m/s] 5. Five length have been measured and recorded as follows: L1 = 3.427m L2 = 3.5m L3 = 0.333m L4 = 32.000m (a) (b) (c) (d) (e) (f) (g) 6. What is the uncertainty is there in each measurement? What is the result if L1 + L2? [6.9 m] What is the result if L1 + L3? [3.760 m] What is the result if L1 – L3? [3.094 m] What is the result if L2 – L1? [0.1 m] What is the result if L1 L2? [12 m2] What is the result if L4 L3? [96.1] What is the volume (with the correct number of significant figures) of rectangular box as shown in figure below? [0.07 m3] 6×102 mm 20.0...

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...dimensional analysis, uncertainty significant figures and vectors analysis. 2. Apply and solve problems related to translational and rotational kinematics and dynamics in one and two dimensions. 3. Apply and solve problems related to the conservation of energy. 4. Identify and compare the state and properties of matter, and fluid mechanics with various related principles, and kinetic theory of gases. 5. Identify the difference in temperature scales and solve problems related to the concept of heat and heat transfer. 6. Carry out some procedures and techniques for practical investigations and interpret the results by the application of principles and theories. 12. Synopsis of Unit: This course will introduce biological science students to the fundamental of physics which involve the mechanics, properties of matter, temperature and heat, applying these physical concepts to explain how things work in the context of the life sciences and guide students to solve problems that relate to underlying real world phenomena. 13. Topics and Notional Hours: Topic Contact Hours Learning L T P SL TLT 1 and 6 2 1 2 7 12 2. Scalar and Vector • Scalar versus Vector • Vector operations 1 and 6 2 1 2 7 12 3. Translational kinematics • One dimensional motion • Kinematics equations • Introduction to two dimensional motion • Relative motions 1, 2, and 6 2 1 2 7 12 4. Forces and The......

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... A REPORT ON “Newton Euler Strategy for the Dynamic Analysis of 3-DOF Parallel UPU Manipulator” Abstract This projects aims to describe the dynamic analysis of the 3-DOF Parallel UPU manipulator. The 3 DOF UPU is a parallel manipulator in which the U and P notations are for universal and prismatic pairs respectively, is a well-known manipulator that provides the platform with three degrees of freedom of pure translation, pure rotation or mixed translation and rotation with respect to the base, according to the relative directions of the revolute pair axes. The pure translational parallel 3-UPU manipulators have received a great lot of attention. Over the years many studies have been reported in the literature on the kinematic analysis, workspace optimization, singularities and joint clearance influence on the platform accuracy of this manipulator. However, the evaluation of the dynamic modelling of the parallel manipulators based on the two most famous methods i.e. Newton- Euler and Lagrange’s method have not been clearly discussed so far. Therefore, this project tries to throw light on this area and covers the Newton Euler Strategy for the calculation of the dynamic model of the 3 DOF UPU Parallel Manipulator. 1. Introduction Over the last few decades the parallel manipulators have attracted the attention of lot of researchers because of their complementary characteristic with serial manipulator. The word 'Parallel’ which is used here is to point out is......

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...com SDC CATIA V5 Tutorials in Mechanism Design and Animation 4-1 Chapter 4 Copyrighted Slider Crank Mechanism Material Copyrighted Material Copyrighted Material Copyrighted Material 4-2 CATIA V5 Tutorials in Mechanism Design and Animation Introduction In this tutorial you create a slider crank mechanism using a combination of revolute and cylindrical joints. You will also experiment with additional plotting utilities in CATIA. 1 Problem Statement A slider crank mechanism, sometimes referred to as a three-bar-linkage, can be thought of as a four bar linkage where one of the links is made infinite in length. The piston based internal combustion is based off of this mechanism. The analytical solution to the kinematics of a slider crank can be found in elementary dynamics textbooks. In this tutorial, we aim to simulate the slider crank mechanism shown below for constant crank rotation and to generate plots of some of the results, including position, velocity, and acceleration of the slider. The mechanism is constructed by assembling four parts as described later in the tutorial. In CATIA, the number and type of mechanism joints will be determined by the nature of the assembly constraints applied. There are several valid combinations of joints which would produce a kinematically correct simulation of the slider crank mechanism. The most intuitive combination would be three revolute joints and a prismatic joint. From a degrees of freedom......

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...dimensional analysis, uncertainty significant figures and vectors analysis. 2. Apply and solve problems related to translational and rotational kinematics and dynamics in one and two dimensions. 3. Apply and solve problems related to the conservation of energy. 4. Identify and compare the state and properties of matter, and fluid mechanics with various related principles, and kinetic theory of gases. 5. Identify the difference in temperature scales and solve problems related to the concept of heat and heat transfer. 6. Carry out some procedures and techniques for practical investigations and interpret the results by the application of principles and theories. 12. Synopsis of Unit: This course will introduce biological science students to the fundamental of physics which involve the mechanics, properties of matter, temperature and heat, applying these physical concepts to explain how things work in the context of the life sciences and guide students to solve problems that relate to underlying real world phenomena. 13. Topics and Notional Hours: Topic Contact Hours Learning L T P SL TLT 1 and 6 2 1 2 7 12 2. Scalar and Vector • Scalar versus Vector • Vector operations 1 and 6 2 1 2 7 12 3. Translational kinematics • One dimensional motion • Kinematics equations • Introduction to two dimensional motion • Relative motions 1, 2, and 6 2 1 2 7 12 4. Forces and The......

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...Scand J Med Sci Sports 2014: 24: e180–e187 doi: 10.1111/sms.12120 © 2013 John Wiley & Sons A/S. Published by John Wiley & Sons Ltd Relationship between jump landing kinematics and peak ACL force during a jump in downhill skiing: A simulation study D. Heinrich1,2, A. J. van den Bogert3,4, W. Nachbauer1 Department of Sport Science, University of Innsbruck, Innsbruck, Austria, 2Centre of Technology of Ski and Alpine Sports, Innsbruck, Austria, 3Orchard Kinetics LLC, Cleveland, Ohio, USA, 4Department of Mechanical Engineering, Cleveland State University, Cleveland, Ohio, USA Corresponding author: Dieter Heinrich, Department of Sport Science, University of Innsbruck, Innsbruck, Austria. Tel.: +43 512 507 4467, Fax: +43 512 507 2656, E-mail: dieter.heinrich@uibk.ac.at 1 Accepted for publication 8 August 2013 Recent data highlight that competitive skiers face a high risk of injuries especially during off-balance jump landing maneuvers in downhill skiing. The purpose of the present study was to develop a musculo-skeletal modeling and simulation approach to investigate the cause-andeffect relationship between a perturbed landing position, i.e., joint angles and trunk orientation, and the peak force in the anterior cruciate ligament (ACL) during jump landing. A two-dimensional musculo-skeletal model was developed and a baseline simulation was obtained reproducing measurement data of a reference landing movement. Based on the baseline simulation, a series...

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......... 21 Vectors and trigonometry...................................................................... 35 Using trig functions to find unknown sides.......................................... 21 Algebra Waves Kinematics Energy Momentum Rotation How To Succeed in Physics | 5 Principle 3: Whenever you have a problem involving vectors, you should:..................................................................................................... 36 Cross products and dot products......................................................... 36 Signs: positive and negative................................................................. 37 One last word........................................................................................ 37 PHYSICS CONCEPTS.............................................................. 38 Human intuitions................................................................................... 39 KINEMATICS.............................................................................. 41 Basic quantities...................................................................................... 41 Velocity and acceleration are vectors................................................... 41 Kinematics equations............................................................................ 41 Principle 4: Make sure you know what every variable represents ..... 42 ENERGY.........................................................

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