HOMEWORK 01B Lagrange Equation Problem 1: Problem 2: Problem 3:

Slides:



Advertisements
Similar presentations
Kinetic and Potential Energy
Advertisements

Kjell Simonsson 1 Vibrations in linear 1-dof systems; II. energy considerations for undamped systems (last updated )
Lagrangian. Using the Lagrangian  Identify the degrees of freedom. One generalized coordinate for eachOne generalized coordinate for each Velocities.
JEOPARDY Click here and type Category 1 Click here and type Category 2 Click here and type Category 2 Click here and type Category 3 Click here and type.
Hamiltonian. Generalized Momentum  The momentum can be expressed in terms of the kinetic energy.  A generalized momentum can be defined similarly. Kinetic.
Multiplying Decimals Unit 3.5 Pages x 320 = x 800 = 3.3,806 x 10 = 27, ,400 38,060 Warm Up Problems Multiply.
Problem 1: Homework 03 Electrical Circuits: Problem 2: Problem 3: Problem 4: - + Problem 5:
HOMEWORK 01C Eigenvalues Problem 1: Problem 2: Problem 3: Problem 4: Lecture 1 Problem 5: Problem 6:
Answers to 3.1 Worksheet #1 6) 7) 8) 9)
CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.
Kinetic Energy Electrical Energy Kinetic Energy Kinetic Energy Kinetic Energy Thermal Energy Kinetic Energy Kinetic Energy Thermal Energy Chemical Energy.
Solving Exponential and Logarithmic Equations Section 8.6.
Type your question here. Type Answer Type your question here. Type Answer.
Physics 321 Hour 8 Potential Energy in Three Dimensions Gradient, Divergence, and Curl.
3.6 Solving Absolute Value Equations and Inequalities
LAGRANGE EQUATION x i : Generalized coordinate Q i : Generalized force i=1,2,....,n In a mechanical system, Lagrange parameter L is called as the difference.
1.4 Solving Absolute Value Equations Evaluate and solve Absolute Value problems.
Solve a two-step equation by combining like terms EXAMPLE 2 Solve 7x – 4x = 21 7x – 4x = 21 Write original equation. 3x = 21 Combine like terms. Divide.
10/24/2014PHY 711 Fall Lecture 251 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 25: Rotational.
HOMEWORK 07 Modeling of Electromechanical Systems Problem 1: Problem 2: Problem 3:
Quiz Title Your name goes here. Question 1 Click here for answer Click here for answer Go to question 2 Go to question 2.
Moment of Inertia Let the figure represent a rigid body which is rotating about a fixed axis, the angular velocity. With a suitable system of cylindrical.
Checking Possible Solutions
Figure 1. Spring characteristics
Applications of SHM and Energy
Simple Harmonic Motion (SHM)
1. Kinetic energy, potential energy, virtual work.
Manipulator Dynamics Lagrange approach Newton-Euler approach
Figure 1. Spring characteristics
Kinematic Analysis (position, velocity and acceleration)
1-5 Equations Goals: Solve equations with one variable
Click here for the answer. Click here for the answer.
Click here for the answer. Click here for the answer.
Click here for the answer. Click here for the answer.
Section 5.5 Solving Absolute Value Equations and Inequalities
Warm up Solve the inequality. Then graph the solution.
Evaluate the expression ( i) + ( i) and write the result in the form a + bi. Choose the answer from the following: i i i.
قطار التعرج مجلس أبوظبي للتعليم منطقة العين التعليمية
Solving Quadratic Equations
WARMUP 1. y > – x – 4 y < 2x + 2.
Solve a system of linear equation in two variables
ماذا نعني بأن الطاقة كمية محفوظة؟!
Equation Review Given in class 10/4/13.
Conservation of Energy Energy1 = Energy2 + Friction
Lab 5 – Conservation of Energy
Equations of Motion: Kinetic energy: Potential energy: Sin≈
HOMEWORK 01A Kinetic energy, potential energy, virtual work Problem 1:
Evaluating expressions and Properties of operations
Problem 1: m x(t) f(t) c k m,R c k m Figure 1 Kinetic energy: Idisc θ
How does thermal energy affect the motion of particles?
Unit 7, Lesson 1 Trigonometry / Pre-Calculus
Solving Multiplication Equations
Figure 1. Spring characteristics
Unit 3 - Energy Learning Target 3.2 – Be able to use the equations for Potential Energy & Kinetic Energy.
HW: Maintenance Sheet DUE
Click here for the answer. Click here for the answer.
Homework 02 ANSYS: Problem 1: (The system in Homework 01C- Problem 5)
HOMEWORK 08B Impulse, step response Problem 1: Problem 2: Problem 3:
Refresh: Click Here.
Equation Review.
RELATIONS & FUNCTIONS CHAPTER 4.
Objective: Students will solve systems by graphing
Algebra 1 Section 7.2.
INTRODUCTION TO CONTROL SYSTEMS
Warmup Blue book- pg 105 # 1-5.
X ⦁ X = 64 ±8 ±14 X ⦁ X ⦁ X =
2.2 Energy- the ability to do work
(Type Answer Here) (Type Answer Here) (Type Answer Here)
Solving Linear Equations
Presentation transcript:

HOMEWORK 01B Lagrange Equation Problem 1: Problem 2: Problem 3:

Homework 01A, The solution of Problem 1 gives the expressions of kinetic energy, potential energy and virtual work as follows; Problem 1: Click for answer. Here, f(t) is the input, x(t) is the generalized coordinate. Find the equation of motion of the system by applying Lagrange equation.

Click for answer. Homework 01A, The solution of Problem 2 gives the expressions of kinetic energy, potential energy and virtual work as follows; Problem 2: Here, T(t) is the input, θ(t) is the generalized coordinate. Find the equation of motion of the system by applying Lagrange equation.

Homework 01A, The solution of Problem 3 gives the expressions of kinetic energy, potential energy and virtual work as follows; Problem 3: Here, f(t) and x 1 (t) are the inputs, x A (t) and θ(t) are the generalized coordinates. Find the equation of motion of the system by applying Lagrange equation. Click for answer.