Consider the massspringdamper system of Figure 11 18, which may be subject to two input forces u 1 (t) and u 2 (t) Show that the displacements x 1 (t) and x 2 (t) of the two masses are given by x (1) K B eeeee M x (t) L , where x (t) L 1 u, (t) u(t) x(1) Figure 11 18 Mechanical system of Question 1...

By Newtons second law of motion MX K2x2Bx2x1 U Mx Bxx KX U Taking Laplace transfor ...

Consider the massspringdamper system of Figure 11.18, which may be subject to two input forces u 1

Question:

Consider the mass–spring–damper system of Figure 11.18, which may be subject to two input forces u₁(t) and u₂(t). Show that the displacements x₁(t) and x₂(t) of the two masses are given by

x (1) K B eeeee M x (t) = L-, where x (t) = L-1 u, (t) u(t) x(1) Figure 11.18 Mechanical system of Question

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 19, 2024 02:04 AM

See More Questions

Introduction When you are a part of a business, you have to understand and follow the consumer protection laws in your state and country. You should also understand the rights of the consumers. There...
Human Rights Committee Concluding observations on the sixth periodic report of Canada* The Committee considered the sixth periodic report submitted by Canada (CCPR/C/CAN/6) at its 3176th and 3177th...
Two point charges are moving to the right along the x-axis. Point charge 1 has charge ql = 2.00 µC mass ml = 6.00 X 10-5 kg, and speed u1 Point charge 2 is to the right of ql and has charge q2...
Find the slopes of the curves at the given points. Sketch the curves along with their tangents at these points. r = sin 2; = /4, 3/4
A bone fragment found in a cave believed to have been inhabited by early humans contains 0.21 times as much l4C as an equal amount of carbon in the atmosphere when the organism containing the bone...
Mary Morgan has just been brought into the emergency room of City General Hospital. She is perspiring profusely and is breathing rapidly and irregularly. Her breath smells like acetone (sweet and...
The equations of motion of a two-degree-of-freedom system are given by $2 \ddot{x}_{1}+6 x_{1}-2 x_{2}=5$ and $\ddot{x}_{2}-2 x_{1}+4 x_{2}=20 \sin 5 t$. Assuming the initial conditions as...
The Americo Oil Company is considering making a bid for a shale oil development contract to be awarded by the federal government. The company has decided to bid $112 million. The company estimates...
Last year, DRW Inc. reported the following values: $484,000 in current assets, $1,250,000 in total assets, $248,120 in current liabilities, $848,000 in long-term liabilities, and $153,880 in...
In each of the following a periodic function f(t) of period 2 is specified over one period. In each case sketch a graph of the function for 4 t 4 and obtain a Fourier series representation of the...
When testing the landing-gear unit of a space vehicle, drop tests are carried out. Figure 11.17 is a schematic model of the unit at the instant when it first touches the ground. At this instant the...
Use limit theorems to show that the following functions are continuous on [0,1]. a) b) c) d) sin x cos x x +x-2 x#1 2 0 f(x) = 0
As shown in the Figure, in a vapor compression refrigeration cycle using R134a with 175 kW cooling capacity, the output of the evaporator is saturated vapor. The main compressor is isentropic and...
You are an investor who would like to create a combination by taking positions in THREE OPTIONS. The options available to you are shown on the table below. You would like the profit from this...
The purpose of this set of exercises is to provide examples of vector equations which result from balancing nutrients in a diet. Section 1.10 shows how use a vector equation to model a diet with a...
Flint Company leased equipment to Land Company for a ve-year period. Flint paid $9,393 for the equipment, which equals its current carrying value (with estimated useful life of ve years). The lease...
You work as a manager in the admission department of company. You were asked by your department head to present and analyze the qualifying test scores of 40 employees who are applying for 5-year...
A boulder is rolling down a hill at 8.00 m/s before it comes to rest 17.0 s later. What is its average velocity?
Why do CPA firms sometimes use a combination of positive and negative confirmations on the same audit?
Define velocity gradient.
State the mathematical definition for dynamic viscosity.
Which would have the greater dynamic viscosity, a cold lubricating oil or fresh water? Why?
Katy Perry, a health record technician, was preparing records to be filed when she found one that she thought needed the attention of the HIM director. She notices there are some suspicious sections...
After reading the Pope's statement rescinding the Doctrine of Discovery, do you feel that Johnson v. McIntosh should be be rescinded as well? Or do you think that it is not feasible to fully return...
I am working on an assignment in class that involves creating and managing databases using sql server. I have been researching methods that can be used to create and manage tables such as GUI and...

Consider the massspringdamper system of Figure 11.18, which may be subject to two input forces u 1

Question:

x (1) K B eeeee M x (t) = L-, where x (t) = L-1 u, (t) u(t) x(1) Figure 11.18 Mechanical system of Question 12. M 00000 Ms + Bs + K A Bs -U(s) + -U (s) + BS U (s)} Ms + Bs + K A K U(9)} A = (Ms + Bs + K)(Ms + Bs + K) - Bs

Step by Step Answer:

By Newtons second law of motion MX K2x2Bx2x1 U Mx Bxx KX U Taking Laplace transfor...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions