DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 1
|
|
- Lily Vivian Fleming
- 5 years ago
- Views:
Transcription
1 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 1 Problem 1 (Motor-Fan): A motor and fan are to be connected as shown in Figure 1. The torque-speed characteristics of the motor and fan are plotted on the same graph. Figure 1: Motor-fan and characteristics. (a) Draw a bond graph model of this system, neglecting any storage of energy (i.e., include only sources, loads, and ideal power conversion). (b) Determine the speed of the motor that maximizes its allowable power, and find this power. (c) Determine the speed and torque of the fan for maximum power transfer as well as the pulley ratio that achieves them. Neglect belt losses (and stretching), so power is conserved.
2 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 2 Problem 2 (Mass-Damper): You have been asked to model and design a device to damp the motion of a large mass, and the system shown in Figure 2 has been recommended to you. A preliminary bond graph of this system after the mass engages the damper has been provided. Figure 2: (a) instrumented circular shaft (b) design of damped-shaft sensor (a) Assign causality to the bond graph and derive the state equation(s). Since you don t yet know the damper force, assume F d = Φ d (V d ), where V d is the velocity of the damper piston. Let the effective piston area be A p. Derive the state equation(s) in terms of the mass velocity, V m. (b) Assume that you can model the flowrate of fluid between chambers 1 and 2 through any orifice using the relation, Q = C o A o 2/ρ P 1 P 2, where C o is a constant (that depends on Reynold s number, etc.), A o is the orifice area, and ρ is the fluid density 1. Simplify this notation by letting, K o = C o A o 2/ρ, and let P P 1 P 2. Show that Q = K o P, or P = K 1 o Q Q. Determine the damper force constitutive relation using this information. (c) Use linearization techniques (ref. Chapter 4 of BP notes) to recommend an equivalent linear damper model and find the linear damping parameter, b l. Use sketches of what the functions would look like (i.e., graphs of force vs. velocity). (d) Sketch what you think the response of the mass/damper system would look like after the mass engages the damper at initial velocity V o. What would the response look like if you used the equivalent linear damper. 1 See, for example, Fox and McDonald, Introduction to Fluid Mechanics, 4th edition, p. 379
3 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 3 Problem 3 (Torque-meter): A torque meter is made from a circular shaft that is rigidly mounted at one end and has strain gauges attached to it as shown in Figure 3(a) below. In a certain application it is desired to measure reversing and time-varying torques, T (t), while filtering out some parts of the torque (due to vibration, noise). To filter out the unwanted part of the torque, the system in (b) is proposed. In the following modeling and analysis, assume the rotational inertia of the gears and shafts can be neglected. Figure 3: (a) instrumented circular shaft (b) design of damped-shaft sensor (a) Assume that the instrumented circular shaft will be designed so that the torque-deflection relation is linear. Find the relation and identify the torsional stiffness, K. (b) Construct a bond graph model for the system and clearly label the elements. Assume all elements have linear constitutive relations. Assume that the gear ratios are all 1:1. (c) Assign causality and show that this is a first-order system. Derive the state equation. (d) What is the system time constant in terms of system parameters? (e) If a step torque is applied to the input shaft, sketch the voltage response you d expect to see at the output from the strain-gauge amplifier as a function of time. Also sketch the torque on the damper. Explain the trends you have indicated. Problem 4 (J-Estimator): Build a model that considers an unknown rotational inertia, J, attached to the torque meter of Problem 2. Explain whether and how this system could be used to estimate J. Provide a detailed explanation of the basis for your design. Discuss any problems/shortcomings that would introduce error in your estimate. Hint: It is assumed that you will use 1st and/or 2nd order system models to help you design/analyze this concept.
4 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 4 Problem 5 (Motion sensor): The system shown in Figure 4 is a motion sensor in which a permanent magnet moving relative to a coil generates a voltage, v o, proportional to the ground motion, indicated here by V g (t). In this sensor, there is damping material and flexible elements that must be chosen to achieve the most favorable performance, and these components are mounted between the seismic mass, m, and the rigid case. The mass, m, includes the mass of the permanent magnet as well. Figure 4: Model of seismometer Note that the mass of the case should not be considered since the case is assumed to be rigidly mounted to the moving ground. Assume also that the case is very rigid. (a) With the electrical port free (open), build a bond graph and apply causality and derive state equations. Develop an expression for the voltage, e o, and express it as an output equation of this system. (b) Consider now that a voltage amplifier is connected to measure e o. An ideal voltage amplifier has a very high input impedance and is designed to draw negligible current from a circuit. Model this with an element that will correctly include this type of input to the system. Neglect resistance or inductance on the electrical side for now and develop state equations and an expression for the output voltage. Hint: the voltage amplifier specifies the current (i.e., flow), not the voltage (effort). Write these equations in linear state space form. (c) Repeat the previous step, but now consider the system with a current amplifier connected. The current amplifier has a negligible voltage drop associated with its function of amplifying a current. Develop the state space equations including an expression for the output current. (d) Repeat step (b), but now include some resistance in the output circuit. Develop state equations and an expression for the output current. Convert the state equations of (d) into an n-th order ODE.
5 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 5 Problem 6 (Towed ship): A fishing boat weighing 32,200 lbf is to be towed by a much larger ship (define boat mass, m b ). The tow cable is linearly elastic and elongates 0.40 ft for each 1,000 lbf of tension in it (define stiffness, k c ). The wave and viscous drag on the fishing boat can be assumed to be linearly proportional to its velocity, and equal to b d = 3, 500 lbf-sec/ft. (a) Develop a bond graph model of this system. The model should only be of second order. Assume all elements are linear, including the cable which will be assumed to have no initial slack. (b) At time t = 0, the large tow ship starts moving with constant velocity V o. Find an expression for the fishing boat displacement, x, as a function of time. Express in terms of the physical variables in this problem. (c) If V o = 5 ft/sec, what is the maximum force in the cable, F c,max, and at what time, t max, does it occur? Do not plug in numerical variables until after an expression for F c,max is derived. (d) What is the elongation of the tow cable, x c,, due to the drag of the fishing boat at t =? (e) It is desired to change the stiffness of the cable so the fishing boat will approach the velocity of the tow ship as fast as possible without oscillating. What should the cable stiffness be in this case? (f) If the tow cable were 0.15 times the length of the cable whose stiffness is given above, what would be the peak velocity obtained by the fishing boat, and at what time would this occur? (g) Briefly explain the consequences of any initial slack in the cable. How would you model the cable stiffness in this case? Sketch the cable characteristic in this case.
6 DSC HW 3: Assigned 6/25/11, Due 7/2/12 Page 6 Problem 7 (Level recorder): The system shown below is used to record sea-level elevations and is called a tide recorder. Fluctuations in the level of the ocean surface are transmitted through the line to the tank where the water surface elevation is recorded by an electrical or mechanical recorder. It is usually desired that the tide recorder filter out high-frequency variations in the water surface, such as waves, and pass the low-frequency variations due to diurnal tides. As in Problem 5, do not plug in any numerical values until after expressions are completely derived symbolically. In a particular application, it is required that the variations in the tank level, h, due to the waves be less than 1% of the variation due to tides and that the tide amplitudes be correct to 1% accuracy. It is known that the variation in P 1 (t) due to waves has an amplitude of 17.2 kpa (34.4 kpa peak-to-peak) and a period of 12 sec; the variation due to tides has an amplitude of 25.9 kpa (51.8 kpa peak-to-peak) and a period of 12 hours. (a) Formulate a model to help you evaluate the performance of this system as it is subjected to harmonic forcing of wave-induced pressure fluctuations. Begin by developing a bond graph with appropriate constitutive relations for the necessary elements. Derive state equations (there should be two) and transform them into a single 2nd order differential equation in the variable h and in the standard form. You should be able to identify expressions for the natural frequency and the system damping. (b) Determine whether the system will function properly (i.e., according to the specifications cited above) if it s geometry and fluid properties are: L = 6 m, A = 0.09 m 2, D = m µ = viscosity = N-sec/m 2 ρ = density = N-sec 2 /m 4 (c) Generate a table and state (qualitatively) the effect on the variations of h due to the waves when each of the following modification are made individually: (i) an increase in L, (ii) an increase in D, (iii) an increase in A.
10 Measurement of Acceleration, Vibration and Shock Transducers
Chapter 10: Acceleration, Vibration and Shock Measurement Dr. Lufti Al-Sharif (Revision 1.0, 25/5/2008) 1. Introduction This chapter examines the measurement of acceleration, vibration and shock. It starts
More informationTOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:
TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by
More informationMechatronics. MANE 4490 Fall 2002 Assignment # 1
Mechatronics MANE 4490 Fall 2002 Assignment # 1 1. For each of the physical models shown in Figure 1, derive the mathematical model (equation of motion). All displacements are measured from the static
More informationStudent name: This is a closed book examination. You are allowed 1 sheet of 8.5 x 11 paper with notes.
13.012 Marine Hydrodynamics for Ocean Engineers Fall 2004 Quiz #2 Student name: This is a closed book examination. You are allowed 1 sheet of 8.5 x 11 paper with notes. For the problems in Section A, fill
More informationMeasurement Techniques for Engineers. Motion and Vibration Measurement
Measurement Techniques for Engineers Motion and Vibration Measurement Introduction Quantities that may need to be measured are velocity, acceleration and vibration amplitude Quantities useful in predicting
More informationBasic Principle of Strain Gauge Accelerometer. Description of Strain Gauge Accelerometer
Basic Principle of Strain Gauge Accelerometer When a cantilever beam attached with a mass at its free end is subjected to vibration, vibrational displacement of the mass takes place. Depending on the displacement
More informationUS06CPHY06 Instrumentation and Sensors UNIT 2 Part 2 Pressure Measurements
US06CPHY06 Instrumentation and Sensors UNIT 2 Part 2 Pressure Measurements Pressure Measurements What is Pressure? Pressure: Force exerted by a fluid on unit surface area of a container i.e. P = F/A. Units
More informationLecture 6 mechanical system modeling equivalent mass gears
M2794.25 Mechanical System Analysis 기계시스템해석 lecture 6,7,8 Dongjun Lee ( 이동준 ) Department of Mechanical & Aerospace Engineering Seoul National University Dongjun Lee Lecture 6 mechanical system modeling
More informationMechatronics II Laboratory EXPERIMENT #1: FORCE AND TORQUE SENSORS DC Motor Characteristics Dynamometer, Part I
Mechatronics II Laboratory EXPEIMENT #1: FOCE AND TOQUE SENSOS DC Motor Characteristics Dynamometer, Part I Force Sensors Force and torque are not measured directly. Typically, the deformation or strain
More informationLANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR.
LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR. IBIKUNLE ROTIMI ADEDAYO SIMPLE HARMONIC MOTION. Introduction Consider
More informationWORK SHEET FOR MEP311
EXPERIMENT II-1A STUDY OF PRESSURE DISTRIBUTIONS IN LUBRICATING OIL FILMS USING MICHELL TILTING PAD APPARATUS OBJECTIVE To study generation of pressure profile along and across the thick fluid film (converging,
More informationModule 4: Dynamic Vibration Absorbers and Vibration Isolator Lecture 19: Active DVA. The Lecture Contains: Development of an Active DVA
The Lecture Contains: Development of an Active DVA Proof Mass Actutor Application of Active DVA file:///d /chitra/vibration_upload/lecture19/19_1.htm[6/25/2012 12:35:51 PM] In this section, we will consider
More informationTexas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos
Texas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos Lecture 6: Modeling of Electromechanical Systems Principles of Motor Operation
More informationThe basic principle to be used in mechanical systems to derive a mathematical model is Newton s law,
Chapter. DYNAMIC MODELING Understanding the nature of the process to be controlled is a central issue for a control engineer. Thus the engineer must construct a model of the process with whatever information
More informationDynamics of Machinery
Dynamics of Machinery Two Mark Questions & Answers Varun B Page 1 Force Analysis 1. Define inertia force. Inertia force is an imaginary force, which when acts upon a rigid body, brings it to an equilibrium
More informationIndex. Index. More information. in this web service Cambridge University Press
A-type elements, 4 7, 18, 31, 168, 198, 202, 219, 220, 222, 225 A-type variables. See Across variable ac current, 172, 251 ac induction motor, 251 Acceleration rotational, 30 translational, 16 Accumulator,
More informationEngineering Science. 1 Be able to determine the behavioural characteristics of elements of static engineering systems
Unit 2: Engineering Science Unit code: L/601/1404 QCF level: 4 Credit value: 15 Aim This unit aims to provide learners with an understanding of the mechanical and electrical principles that underpin mechanical
More informationT1 T e c h n i c a l S e c t i o n
1.5 Principles of Noise Reduction A good vibration isolation system is reducing vibration transmission through structures and thus, radiation of these vibration into air, thereby reducing noise. There
More informationForce and Displacement Measurement
Force and Displacement Measurement Prof. R.G. Longoria Updated Fall 20 Simple ways to measure a force http://scienceblogs.com/dotphysics/200/02/diy_force_probe.php Example: Key Force/Deflection measure
More informationExercise 5 - Hydraulic Turbines and Electromagnetic Systems
Exercise 5 - Hydraulic Turbines and Electromagnetic Systems 5.1 Hydraulic Turbines Whole courses are dedicated to the analysis of gas turbines. For the aim of modeling hydraulic systems, we analyze here
More informationCh 3.7: Mechanical & Electrical Vibrations
Ch 3.7: Mechanical & Electrical Vibrations Two important areas of application for second order linear equations with constant coefficients are in modeling mechanical and electrical oscillations. We will
More informationAPPLICATIONS OF VIBRATION TRANSDUCERS
APPLICATIONS OF VIBRATION TRANSDUCERS 1) Measurements on Structures or Machinery Casings: Accelerometers and Velocity Sensors Used in gas turbines, axial compressors, small and mid-size pumps. These sensors
More informationCHAPTER 6 FRICTION AND WEAR ANALYSIS FOR BUSHING
CHAPTER 6 FRICTION AND WEAR ANALYSIS FOR BUSHING 6.1 TEST RIG SETUP FOR THE FRICTION AND WEAR ANALYSIS Knowing the frictional coefficient is important for the determination of wear loss and power loss
More informationThis equation of motion may be solved either by differential equation method or by graphical method as discussed below:
2.15. Frequency of Under Damped Forced Vibrations Consider a system consisting of spring, mass and damper as shown in Fig. 22. Let the system is acted upon by an external periodic (i.e. simple harmonic)
More informationModeling of Dynamic Systems: Notes on Bond Graphs Version 1.0 Copyright Diane L. Peters, Ph.D., P.E.
Modeling of Dynamic Systems: Notes on Bond Graphs Version 1.0 Copyright 2015 Diane L. Peters, Ph.D., P.E. Spring 2015 2 Contents 1 Overview of Dynamic Modeling 5 2 Bond Graph Basics 7 2.1 Causality.............................
More informationa) Find the equation of motion of the system and write it in matrix form.
.003 Engineering Dynamics Problem Set Problem : Torsional Oscillator Two disks of radius r and r and mass m and m are mounted in series with steel shafts. The shaft between the base and m has length L
More informationIntroduction to Control (034040) lecture no. 2
Introduction to Control (034040) lecture no. 2 Leonid Mirkin Faculty of Mechanical Engineering Technion IIT Setup: Abstract control problem to begin with y P(s) u where P is a plant u is a control signal
More informationSection 3.7: Mechanical and Electrical Vibrations
Section 3.7: Mechanical and Electrical Vibrations Second order linear equations with constant coefficients serve as mathematical models for mechanical and electrical oscillations. For example, the motion
More informationPreliminary Examination - Dynamics
Name: University of California, Berkeley Fall Semester, 2018 Problem 1 (30% weight) Preliminary Examination - Dynamics An undamped SDOF system with mass m and stiffness k is initially at rest and is then
More informationAppendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2)
Appendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2) For all calculations in this book, you can use the MathCad software or any other mathematical software that you are familiar
More informationExponential decay. The deviations in amplitude over 30 periods rise to more than ±20%. Fig 1 a rod and ball pendulum
Exponential decay A counter example There is a common belief that the damping of the motion of a pendulum in air is exponential, or nearly so, in all situations. To explore the limits of that approximation
More informationC7047. PART A Answer all questions, each carries 5 marks.
7047 Reg No.: Total Pages: 3 Name: Max. Marks: 100 PJ DUL KLM TEHNOLOGIL UNIVERSITY FIRST SEMESTER.TEH DEGREE EXMINTION, DEEMER 2017 ourse ode: E100 ourse Name: ENGINEERING MEHNIS PRT nswer all questions,
More informationModeling and Experimentation: Mass-Spring-Damper System Dynamics
Modeling and Experimentation: Mass-Spring-Damper System Dynamics Prof. R.G. Longoria Department of Mechanical Engineering The University of Texas at Austin July 20, 2014 Overview 1 This lab is meant to
More informationMATH2351 Introduction to Ordinary Differential Equations, Fall Hints to Week 07 Worksheet: Mechanical Vibrations
MATH351 Introduction to Ordinary Differential Equations, Fall 11-1 Hints to Week 7 Worksheet: Mechanical Vibrations 1. (Demonstration) ( 3.8, page 3, Q. 5) A mass weighing lb streches a spring by 6 in.
More informationContents. Dynamics and control of mechanical systems. Focus on
Dynamics and control of mechanical systems Date Day 1 (01/08) Day 2 (03/08) Day 3 (05/08) Day 4 (07/08) Day 5 (09/08) Day 6 (11/08) Content Review of the basics of mechanics. Kinematics of rigid bodies
More informationLecture 19. Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity
MECH 373 Instrumentation and Measurements Lecture 19 Measurement of Solid-Mechanical Quantities (Chapter 8) Measuring Strain Measuring Displacement Measuring Linear Velocity Measuring Accepleration and
More informationIntroduction to Mechanical Vibration
2103433 Introduction to Mechanical Vibration Nopdanai Ajavakom (NAV) 1 Course Topics Introduction to Vibration What is vibration? Basic concepts of vibration Modeling Linearization Single-Degree-of-Freedom
More informationDynamic Analysis on Vibration Isolation of Hypersonic Vehicle Internal Systems
International Journal of Engineering Research and Technology. ISSN 0974-3154 Volume 6, Number 1 (2013), pp. 55-60 International Research Publication House http://www.irphouse.com Dynamic Analysis on Vibration
More information1. Mark the correct statement(s)
1. Mark the correct statement(s) Figure to the right shows a mass measurement scale using a spring. 1.1 The span of the scale is a) 16 kg b) 21 kg c) 11 kg d) 5-16 kg 1.2 The range of the scale is a) 16
More information(Refer Slide Time 1:33)
Mechanical Measurements and Metrology Prof. S. P. Venkateshan Department of Mechanical Engineering Indian Institute of Technology, Madras Module - 4 Lecture - 45 Measurement of Force This will be lecture
More informationMechatronics Modeling and Analysis of Dynamic Systems Case-Study Exercise
Mechatronics Modeling and Analysis of Dynamic Systems Case-Study Exercise Goal: This exercise is designed to take a real-world problem and apply the modeling and analysis concepts discussed in class. As
More informationNonlinear effects on the rotor driven by a motor with limited power
Applied and Computational Mechanics 1 (007) 603-61 Nonlinear effects on the rotor driven by a motor with limited power L. Pst Institute of Thermomechanics, Academy of Sciences of CR, Dolejškova 5,18 00
More informationLecture 5: Using electronics to make measurements
Lecture 5: Using electronics to make measurements As physicists, we re not really interested in electronics for its own sake We want to use it to measure something often, something too small to be directly
More informationModule I Module I: traditional test instrumentation and acquisition systems. Prof. Ramat, Stefano
Preparatory Course (task NA 3.6) Basics of experimental testing and theoretical background Module I Module I: traditional test instrumentation and acquisition systems Prof. Ramat, Stefano Transducers A
More informationMembers Subjected to Torsional Loads
Members Subjected to Torsional Loads Torsion of circular shafts Definition of Torsion: Consider a shaft rigidly clamped at one end and twisted at the other end by a torque T = F.d applied in a plane perpendicular
More informationWORCESTER POLYTECHNIC INSTITUTE
WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 17: 10 February 2012 General information Instructor: Cosme Furlong HL-151 (508) 831-5126 cfurlong@wpi.edu
More informationMAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194
MAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194 Question 1 (a) List three sources of heat in soldering (b) state the functions of flux in soldering (c) briefly describe with aid of diagram
More informationChapter 8. Model of the Accelerometer. 8.1 The static model 8.2 The dynamic model 8.3 Sensor System simulation
Chapter 8. Model of the Accelerometer 8.1 The static model 8.2 The dynamic model 8.3 Sensor System simulation 8.2.1 Basic equations 8.2.2 Resonant frequency 8.2.3 Squeeze-film damping 8.2 The dynamic model
More informationProf. S.K. Saha. Sensors 1. Lecture 5 June 11, Prof. S.K. Saha. Purpose Classification Internal Sensors. External Sensors.
Lecture 5 June 11, 2009 Sensors Prof. S.K. Saha Dept. of Mech. Eng. IIT Delhi Announcement Outlines of slides in Lectures 1-4 on May 15, 18, 21, June 01, 2009, respectively, are available from: http://web.iitd.ac.in/~saha/
More informationPreliminary Examination in Dynamics
Fall Semester 2017 Problem 1 The simple structure shown below weighs 1,000 kips and has a period of 1.25 sec. It has no viscous damping. It is subjected to the impulsive load shown in the figure. If the
More informationENGI9496 Modeling and Simulation of Dynamic Systems Bond Graphs
ENGI9496 Modeling and Simulation of Dynamic Systems Bond Graphs Topics covered so far: Analogies between mechanical (translation and rotation), fluid, and electrical systems o Review of domain-specific
More informationDEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS).
DEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS). Lab Director: Coordinating Staff: Mr. Muhammad Farooq (Lecturer) Mr. Liaquat Qureshi (Lab Supervisor)
More informationME 3210 Mechatronics II Laboratory Lab 4: DC Motor Characteristics
ME 3210 Mechatronics II Laboratory Lab 4: DC Motor Characteristics Introduction Often, due to budget constraints or convenience, engineers must use whatever tools are available to create new or improved
More informationObject Impact on the Free Surface and Added Mass Effect Laboratory Fall 2005 Prof. A. Techet
Object Impact on the Free Surface and Added Mass Effect.016 Laboratory Fall 005 Prof. A. Techet Introduction to Free Surface Impact Free surface impact of objects has applications to ocean engineering
More informationDynamics and control of mechanical systems
Dynamics and control of mechanical systems Date Day 1 (03/05) - 05/05 Day 2 (07/05) Day 3 (09/05) Day 4 (11/05) Day 5 (14/05) Day 6 (16/05) Content Review of the basics of mechanics. Kinematics of rigid
More informationMODEL TEST - 1 PHYSICS
MODEL TEST - 1 PHYSICS [Time: 3 Hrs] [Max. Marks: 70] Note: 1. All questions are compulsory. 2. Neat diagrams must be drawn wherever necessary. 3. Figures to the right indicate full marks. 4. Use of only
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationCITY UNIVERSITY SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES
CITY UNIVERSITY SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES AERONAUTICAL ENGINEERING MEng/BEng (Hons) AIR TRANSPORT ENGINEERING MEng/BEng (Hons) AIR TRANSPORT ENGINEERING BSc (Hons) AUTOMOTIVE AND
More informationQ1. Which of the following is the correct combination of dimensions for energy?
Tuesday, June 15, 2010 Page: 1 Q1. Which of the following is the correct combination of dimensions for energy? A) ML 2 /T 2 B) LT 2 /M C) MLT D) M 2 L 3 T E) ML/T 2 Q2. Two cars are initially 150 kilometers
More informationA FORCE BALANCE TECHNIQUE FOR MEASUREMENT OF YOUNG'S MODULUS. 1 Introduction
A FORCE BALANCE TECHNIQUE FOR MEASUREMENT OF YOUNG'S MODULUS Abhinav A. Kalamdani Dept. of Instrumentation Engineering, R. V. College of Engineering, Bangalore, India. kalamdani@ieee.org Abstract: A new
More informationTutorial 1 - Drive fundamentals and DC motor characteristics
University of New South Wales School of Electrical Engineering & elecommunications ELEC4613 ELECRIC DRIVE SYSEMS utorial 1 - Drive fundamentals and DC motor characteristics 1. In the hoist drive system
More informationChapter 5 Torsion STRUCTURAL MECHANICS: CE203. Notes are based on Mechanics of Materials: by R. C. Hibbeler, 7th Edition, Pearson
STRUCTURAL MECHANICS: CE203 Chapter 5 Torsion Notes are based on Mechanics of Materials: by R. C. Hibbeler, 7th Edition, Pearson Dr B. Achour & Dr Eng. K. El-kashif Civil Engineering Department, University
More informationME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft.
ME 323 - Final Exam Name December 15, 2015 Instructor (circle) PROEM NO. 4 Part A (2 points max.) Krousgrill 11:30AM-12:20PM Ghosh 2:30-3:20PM Gonzalez 12:30-1:20PM Zhao 4:30-5:20PM M (x) y 20 kip ft 0.2
More information7.6 Journal Bearings
7.6 Journal Bearings 7.6 Journal Bearings Procedures and Strategies, page 1 of 2 Procedures and Strategies for Solving Problems Involving Frictional Forces on Journal Bearings For problems involving a
More informationUndamped Free Vibrations (Simple Harmonic Motion; SHM also called Simple Harmonic Oscillator)
Section 3. 7 Mass-Spring Systems (no damping) Key Terms/ Ideas: Hooke s Law of Springs Undamped Free Vibrations (Simple Harmonic Motion; SHM also called Simple Harmonic Oscillator) Amplitude Natural Frequency
More informationPhysics for Scientists and Engineers 4th Edition, 2017
A Correlation of Physics for Scientists and Engineers 4th Edition, 2017 To the AP Physics C: Mechanics Course Descriptions AP is a trademark registered and/or owned by the College Board, which was not
More informationVTU-NPTEL-NMEICT Project
VTU-NPTEL-NMEICT Project Progress Report The Project on Development of Remaining Three Quadrants to NPTEL Phase-I under grant in aid NMEICT, MHRD, New Delhi SME Name : Course Name: Type of the Course Module
More informationSENSORS AND TRANSDUCERS
Electrical Measurements International Program Department of Electrical Engineering UNIVERSITAS INDONESIA ANDRITTO ABDUL GHAFFAR ANDHIKA ADIEL INSANI Lecturer : Ir. Chairul Hudaya, ST, M.Eng., Ph.D., IPM
More informationNational Exams May 2016
National Exams May 2016 04-Agric-A5, Principles of Instrumentation 3 hours duration NOTES: 1. If doubt exists as to the interpretation of any question, the candidate is urged to submit with the answer
More informationMechanical and Acoustical Resonators
Lab 11 Mechanical and Acoustical Resonators In this lab, you will see how the concept of AC impedance can be applied to sinusoidally-driven mechanical and acoustical systems. 11.1 Mechanical Oscillator
More informationChapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.
Chapter 14 Oscillations Oscillations of a Spring Simple Harmonic Motion Energy in the Simple Harmonic Oscillator Simple Harmonic Motion Related to Uniform Circular Motion The Simple Pendulum The Physical
More informationSome Thoughts on Mathematical Solutions of Physics Problems in AP Physics 1
Some Thoughts on Mathematical Solutions of Physics Problems in AP Physics 1 1. There has been a continuing discussion on the AP Community Bulletin Board concerning the role and importance of the ability
More informationStrain, Force, and Pressure
10-1 10-1 Strain, Force, and Pressure Force is that which results in acceleration (when forces don t cancel). Strain is the change in shape of an object...... usually due to some force. (Force is usually
More informationAP Physics C Mechanics Objectives
AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph
More informationWhen a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero.
When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero. 0 0 0 0 k M j M i M M k R j R i R F R z y x z y x Forces and moments acting on a rigid body could be
More informationState Space Representation
ME Homework #6 State Space Representation Last Updated September 6 6. From the homework problems on the following pages 5. 5. 5.6 5.7. 5.6 Chapter 5 Homework Problems 5.6. Simulation of Linear and Nonlinear
More informationAP Physics Problems Simple Harmonic Motion, Mechanical Waves and Sound
AP Physics Problems Simple Harmonic Motion, Mechanical Waves and Sound 1. 1977-5 (Mechanical Waves/Sound) Two loudspeakers, S 1 and S 2 a distance d apart as shown in the diagram below left, vibrate in
More information(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B.
2003 B1. (15 points) A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Student A of mass 70 kg, who is at rest on
More informationCOMPOUND PENDULUM. AIM: 01. To determine the radius of gyration k of given compo pendulum. 02. To verify the relation
COMPOUND PENDULUM AIM: 01. To determine the radius of gyration k of given compo pendulum. 02. To verify the relation T= 2 π 2 2 K + (OG) g (OG) Where, T = Periodic time sec. K = Radius of gyration about
More informationLecture 5: Using electronics to make measurements
Lecture 5: Using electronics to make measurements As physicists, we re not really interested in electronics for its own sake We want to use it to measure something often, something too small to be directly
More informationExperiment 5. Simple Harmonic Motion
Reading and Problems: Chapters 7,8 Problems 7., 8. Experiment 5 Simple Harmonic Motion Goals. To understand the properties of an oscillating system governed by Hooke s Law.. To study the effects of friction
More informationProblem Solver Skill 5. Defines multiple or complex problems and brainstorms a variety of solutions
Motion and Forces Broad Concept: Newton s laws of motion and gravitation describe and predict the motion of most objects. LS 1.1 Compare and contrast vector quantities (such as, displacement, velocity,
More informationEngineering Mechanics Prof. U. S. Dixit Department of Mechanical Engineering Indian Institute of Technology, Guwahati Introduction to vibration
Engineering Mechanics Prof. U. S. Dixit Department of Mechanical Engineering Indian Institute of Technology, Guwahati Introduction to vibration Module 15 Lecture 38 Vibration of Rigid Bodies Part-1 Today,
More informationTheory & Practice of Rotor Dynamics Prof. Rajiv Tiwari Department of Mechanical Engineering Indian Institute of Technology Guwahati
Theory & Practice of Rotor Dynamics Prof. Rajiv Tiwari Department of Mechanical Engineering Indian Institute of Technology Guwahati Module - 5 Torsional Vibrations Lecture - 4 Transfer Matrix Approach
More information1 2 Models, Theories, and Laws 1.5 Distinguish between models, theories, and laws 2.1 State the origin of significant figures in measurement
Textbook Correlation Textbook Correlation Physics 1115/2015 Chapter 1 Introduction, Measurement, Estimating 1.1 Describe thoughts of Aristotle vs. Galileo in describing motion 1 1 Nature of Science 1.2
More information582. Research of the flexible bellow with the magnetorheological fluid
58. Research of the flexible bellow with the magnetorheological fluid D. Mažeika 1, J. Kunevičius, V. Volkovas 3, E. Dragašius 4 1 bold) 1 Kaunas University of Technology, Kaunas, Lithuania e-mail: 1 da.mazeika@stud.ktu.lt;
More informationNever switch on the equipment without the assistants explicit authorization!
Biot Savart s law 1 Objective The objective of this experiment is to verify Biot-Savart s law for certain geometries. Over the course of the preparation, the actual experiment and the writing of the report
More informationAP Physics 1. Course Overview
Radnor High School Course Syllabus AP Physics 1 Credits: Grade Weighting: Yes Prerequisites: Co-requisites: Length: Format: 1.0 Credit, weighted Honors chemistry or Advanced Chemistry Honors Pre-calculus
More informationControl Engineering BDA30703
Control Engineering BDA30703 Lecture 4: Transducers Prepared by: Ramhuzaini bin Abd. Rahman Expected Outcomes At the end of this lecture, students should be able to; 1) Explain a basic measurement system.
More informationENGG4420 LECTURE 7. CHAPTER 1 BY RADU MURESAN Page 1. September :29 PM
CHAPTER 1 BY RADU MURESAN Page 1 ENGG4420 LECTURE 7 September 21 10 2:29 PM MODELS OF ELECTRIC CIRCUITS Electric circuits contain sources of electric voltage and current and other electronic elements such
More informationMechanical Principles
Unit 8: Unit code Mechanical Principles F/615/1482 Unit level 4 Credit value 15 Introduction Mechanical principles have been crucial for engineers to convert the energy produced by burning oil and gas
More informationSample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator.
Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. The following is from the first page of the examination. I recommend you read it before the exam.
More informationTOPIC E: OSCILLATIONS SPRING 2019
TOPIC E: OSCILLATIONS SPRING 2019 1. Introduction 1.1 Overview 1.2 Degrees of freedom 1.3 Simple harmonic motion 2. Undamped free oscillation 2.1 Generalised mass-spring system: simple harmonic motion
More informationLaboratory 11 Control Systems Laboratory ECE3557. State Feedback Controller for Position Control of a Flexible Joint
Laboratory 11 State Feedback Controller for Position Control of a Flexible Joint 11.1 Objective The objective of this laboratory is to design a full state feedback controller for endpoint position control
More informationAP Physics Laboratory #6.1: Analyzing Terminal Velocity Using an Interesting Version of Atwood s Machine
AP Physics Laboratory #6.1: Analyzing Terminal Velocity Using an Interesting Version of Atwood s Machine Name: Date: Lab Partners: PURPOSE The purpose of this Laboratory is to study a system as it approaches
More informationFLOW MEASUREMENT. INC 102 Fundamental of Instrumentation and Process Control 2/2560
FLOW MEASUREMENT INC 102 Fundamental of Instrumentation and Process Control 2/2560 TABLE OF CONTENTS A. INTRODUCTION B. LOCAL FLOW MEASUREMENT B.1 Particle Image Velocimetry (PIV) B.2 Laser doppler anemometry
More information7.Piezoelectric, Accelerometer and Laser Sensors
7.Piezoelectric, Accelerometer and Laser Sensors 7.1 Piezoelectric sensors: (Silva p.253) Piezoelectric materials such as lead-zirconate-titanate (PZT) can generate electrical charge and potential difference
More informationMAS.836 PROBLEM SET THREE
MAS.836 PROBLEM SET THREE FSR, Strain Gauge, and Piezo Circuits: The purpose of this problem set is to familiarize yourself with the most common forms of pressure and force measurement. The circuits you
More informationAutomated Estimation of an Aircraft s Center of Gravity Using Static and Dynamic Measurements
Proceedings of the IMAC-XXVII February 9-, 009 Orlando, Florida USA 009 Society for Experimental Mechanics Inc. Automated Estimation of an Aircraft s Center of Gravity Using Static and Dynamic Measurements
More informationSPRING 2003 Final Exam, Part A
Physics 151 SPRING 2003 Final Exam, Part A Roster No.: Score: 17 pts. possible Exam time limit: 2 hours. You may use calculators and both sides of 2 sheets of notes, handwritten only. Closed book; no collaboration.
More information