We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byAlexander Burlington
Modified about 1 year ago
General equations of motion (Kaula 3.2)I2.1a. C.C.Tscherning,
Change of variables. C.C.Tscherning,
Lagrange brackets. C.C.Tscherning,
Kaula (3.35). C.C.Tscherning,
Kaula (3.36). C.C.Tscherning,
Kaula (3.37)-Non-zero values. C.C.Tscherning,
Kaula (3.38). C.C.Tscherning,
Force Function We take the zero term out: C.C.Tscherning,
Delauny variables (Kaula, 3.41). C.C.Tscherning,
Delauny equations (Kaula, 3.47). C.C.Tscherning,
3.5 – Solving Systems of Equations in Three Variables.
Revision Previous lectures were about Hamiltonian, Construction of Hamiltonian, Hamilton’s Equations, Some applications of Hamiltonian and Hamilton’s Equations.
5-5 Solving Quadratic Equations Objectives: Solve quadratic equations.
Parametric Equations Until now, we’ve been using x and y as variables. With parametric equations, they now become FUNCTIONS of a variable t.
From CIS to CTS We must transform from Conventional Inertial System to Conventional Terrestrial System using siderial time, θ: Rotation Matrix C.C.Tscherning,
Elimination Method - Systems. Elimination Method With the elimination method, you create like terms that add to zero.
Conversion of spherical harmonics (Kaula, 3.3)I2.2a We want to express the terms in the expansion in Kepler variables:. C.C.Tscherning,
Linear Equations in Two Variables A Linear Equation in Two Variables is any equation that can be written in the form where A and B are not both zero.
Differential Equations Linear Equations with Variable Coefficients.
Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · n + 3 = 0 n – 10 = n = -3n = 10 =
HOMEWORK 01B Lagrange Equation Problem 1: Problem 2: Problem 3:
Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then.
Factorise means put into brackets Solve means Find the values of x which make the equation true.
Rational Expressions – Restrictions When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify.
1. Set up the phase 1 dictionary for this problem and make the first pivot: Maximize X 1 + X X 3 + X 4 subject to -X 1 + X X 4 ≤ -3 -X 1 +
Acceleration. How will the box move? 16 N8 N Key Variable - New Acceleration –the rate of change in velocity. Measured – indirectly using velocity, distance.
Recall that when you wanted to solve a system of equations, you used to use two different methods. Substitution Method Addition Method.
Factorising Cubics (Example 1) Factorise x 3 + 7x 2 + 7x 15 given that (x + 3) is a factor x 3 + 7x 2 + 7x 15 = (x + 3)(x 2 + ax 5) x 3 + 7x 2 +
Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.
Solving Equations A Solution A value of the variable that makes the equation a true statement.
Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.
Table of Contents Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Determining Net Force page 91. Net Force a combination of all of the forces acting on an object. Forces in the same direction are added Forces in opposite.
For any two vectors A and B, which of the following equations is false. A) A – A = 0 B) A – B = A + B C) A + B = B + A D) A/a = 1/a (A), where ‘a’ is a.
Chapter solving Equations by Multiplying or dividing.
2.4 – Solving Equations with the Variable on Each Side.
Physics 211 Work done by a constant force Work done by a varying force Kinetic energy and the Work-Energy theorem Power 6: Work and Energy.
Solving Systems of three equations with three variables Using substitution or elimination.
WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n)
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.
Brachistochrone Under Air Resistance Christine Lind 2/26/05 SPCVC.
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.
In this chapter we will introduce the following concepts:
PHY 205 Ch2: Motion in 1 dimension 6.1 Work Done by a Constant force Ch6 Work & kinetic Energy A. W 0 D. Depends.
Chapter 1 Section 2. Example 1: R1+R2 R2 2R1+R3 R3 R5-R1 R5.
$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Writing variable equations Find variables in addition equations Find variables in subtraction.
N.B. the material derivative, rate of change following the motion:
Material Point Method Grid Equations Monday, 10/7/2002 Mass matrix Lumped mass matrix.
Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = x = 12 x = 4 Multiply brackets out.
Solving Rational Equations A Rational Equation is an equation that contains one or more rational expressions. The following are rational equations:
Work W-E Theorem Pt. 1 1 Newton’s Second Law in Terms of Work Conservation of Kinetic Energy Work-Energy Theorem Work-Energy Diagram.
Systems of Equations: Elimination, Part II Unit 7, Lesson 5b.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
Collisionless Dynamics III: The Jeans Equation Collisionless Dynamics III: The Jeans Equation.
Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.
Ideal Projectile Equations: If the only force is weight, then the x velocity stays constant (a x = 0). The y velocity changes with time and position (y.
Find the following Algebra Tiles… Trace each of these Algebra Tiles on your notes. 1 unit x units Area/Name: 1 UNIT TILE 1 unit Area/Name: X TILE Area/Name:
© 2017 SlidePlayer.com Inc. All rights reserved.