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1 Lecture D33 : Forced Vibration Spring Force k > 0 Dashpot c > 0 Newtons Second Law Equation of motion Forcing
2 Undamped Forced Vibration General Solution is general solution of... have already seen is any solution of (1) Try
3 Undamped Forced Vibration Particular Solution
4 Damped Forced Vibration General Solution is general solution of... have already seen is any solution of (1) Try or,
5 Damped Forced Vibration is general solution of... have already seen is any solution of (1) Try or,
6 Damped Forced Vibration
8 Vibration Isolation How much of the applied force is transmitted to the wall? Transmissibility Transmitted force Applied Force Transmitted Force (spring + dashpot)
9 Vibration Isolation Transmissibility For damping increases transmissi- bility !! For having a spring increases trans- missibility !!
Unit nd law An object will accelerate if an unbalanced force is applied to it. Its acceleration will depend on the size of the force and the mass.
5 Newtons Laws of Motion 5-1 Force and Mass Question: How is acceleration induced? Δv/Δt V=20 m/s wall V=5 m/s V=-5m/s V=0 Baseball: Force; influence that.
1 Lecture D31 : Linear Harmonic Oscillator Spring-Mass System Spring Force F = kx, k > 0 Newtons Second Law (Define) Natural frequency (and period) Equation.
EXAMPLE 1 Find the number of solutions or zeros a. How many solutions does the equation x 3 + 5x 2 + 4x + 20 = 0 have? SOLUTION Because x 3 + 5x 2 + 4x.
Newtons First Law – Inertia An object at rest will stay at rest, and an object in motion will stay in motion, unless acted upon by an outside force.
Solving Systems of Equations using Substitution * Best method when one variable is already solved for or if a variable has a coefficient of 1.
Solving an Absolute Value Equation. You have already used graphs and mental math to solve some absolute value equations. For instance: 8 and -8This has.
Graph of Exponential Functions Chapter 3 Lesson G.
Stephen Wells Bronze O’Neal Darren Keller. Purpose To Evaluate the Vibration Isolation performance of the suspension that our team designed.
Chapter 2 Section 4 Solving Equations with variables on both sides- YES!
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Statics (MET 2214) Prof. Simin Nasseri Statics of Particles MET 2214.
Scale Factor MA.7.4.2By:. What is Scale Factor? Scale factor is the ratio between the lengths of corresponding sides of two similar figures. Scale factor.
Solving Systems by Graphing or Substitution. Objective: To solve a system of linear equations in two variables by graphing or by substitution.
1. First Law of Motion 2. Second Law of Motion 3. Third Law of Motion 4. Law of Universal Gravitation Galileo is credited with being the first to identify.
Why do objects keep moving without being pushed or pull? Objects keep moving without being pushed or pulled is the Newton's first law.Another reason an.
N.B. the material derivative, rate of change following the motion:
You hang an object onto a vertically hanging spring and measure the stretch length of the spring to be 1 meter. You then pull down on the object and release.
8-2: Solving Systems of Equations using Substitution.
Newtons Laws of Motion. 1 st Law of Motion An object at rest will stay at rest and an object in motion will stay in motion (in the same direction and.
What is Work? In Science, Work is accomplished when a force is moved over a distance. Work. –Lifting books, pushing a box 2 feet, pulling a wagon. Not.
Aim: Radical Equations Course: Alg. 2 & Trigonometry Aim: How do we solve radical equations? Do Now: Describe the steps for solving: x 2 – 80 = 0 x 2.
Mr. Jean November 21 st, 2013 IB Physics 11 IB Physics 11.
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DETERMINING WAVE SPEED Section 8.4. Key Terms Universal Wave Equation Linear Density.
Are You Smarter Than an 8 th Grader?? Made By: Kaitlyn and Natalia 1A.
WORK AND POWER HOW WE GET STUFF DONE!!!. WHAT IS WORK? Work: occurs when a force causes an object to move in the direction of the force applied IF THE.
Newton’s Law #1: An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed.
Lecture 1: Energy Reading: Zumdahl 9.1 Outline –Energy: Kinetic and Potential –System vs. Surroundings –Heat, Work, and Energy.
First Order Systems: Dynamic Systems ISAT 300 Spring 1999.
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