Question: Consider a spring-mass-damper system with (k=4000 mathrm{~N} / mathrm{m}, m=10 mathrm{~kg}), and (c=40 mathrm{~N}-mathrm{s} / mathrm{m}). Find the steady-state and total responses of the system

Consider a spring-mass-damper system with $k=4000 \mathrm{~N} / \mathrm{m}, m=10 \mathrm{~kg}$, and $c=40 \mathrm{~N}-\mathrm{s} / \mathrm{m}$. Find the steady-state and total responses of the system under the harmonic force $F(t)=200 \cos 10 t \mathrm{~N}$ and the initial conditions $x_{0}=0.1 \mathrm{~m}$ and $\dot{x}_{0}=0$.

Step by Step Solution

★★★★★

3.44 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Vibration Analysis Questions!

Using the CMOS long-channel process (1 m), calculate the currents and voltages in the circuit seen below. What is the maximum value allowed for R2 so that M2 remains operating in the saturation...

Mars Corp. common shares are trading at $41 on the market. Currently, the continuously compounded risk-free rate is 9% per year and the annual standard deviation of the continuously compounded rate...

a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...

Choose the correct answer and explain The symbolic notation used to description the micro operation transfer :among register abbreviation to 1- ALU 2-TRL 3-Rom

Consider a spring-mass-damper system with $k=4000 \mathrm{~N} / \mathrm{m}, m=10 \mathrm{~kg}$, and $c=40 \mathrm{~N}-\mathrm{s} / \mathrm{m}$. Find the steady-state and total responses of the...

Consider a spring-mass system, with $k=4000 \mathrm{~N} / \mathrm{m}$ and $m=10 \mathrm{~kg}$, subject to a harmonic force $F(t)=400 \cos 20.1t \mathrm{~N}$. Find and plot the total response of...

Consider a spring-mass system, with $k=4000 \mathrm{~N} / \mathrm{m}$ and $m=10 \mathrm{~kg}$, subject to a harmonic force $F(t)=400 \cos 10 t \mathrm{~N}$. Find and plot the total response of...

Consider a spring-mass system, with $k=4000 \mathrm{~N} / \mathrm{m}$ and $m=10 \mathrm{~kg}$, subject to a harmonic force $F(t)=400 \cos 20 t \mathrm{~N}$. Find and plot the total response of...

Consider a spring-mass system, with $k=4000 \mathrm{~N} / \mathrm{m}$ and $m=10 \mathrm{~kg}$, subject to a harmonic force $F(t)=400 \cos 30 t \mathrm{~N}$. Find and plot the total response of...

69. Your opinion is that security A has an expected rate of return of 0.145. It has a beta of 1.5. The risk-free rate is 0.04 and the market expected rate of return is 0.11. According to the Capital...

Explain the expense recognition principle (matching).

What is meant by 'free trade'?

1 What do HR managers do?

Derive Bessel's equation and solve it in general.

Derive Equation 8.15. Explain the need for $\theta=$ $\theta_{0}+2 \pi j$. (R" + R'+3R) === (8.15) R R

Derive Equation 8.12. Bjk2 - 2 Wijk ab a sin j, k = 1, 2,..., b -dx dy, (8.12)

Effect of Transactions on Current Position Analysis Data pertaining to the current position of Lucroy Industries Inc. follow: Cash $447,500 Marketable securities 187,500 Accounts and notes receivable...

You settled with Canada Revenue Agency for back taxes owed in the amount of $ 2 0 , 0 0 0 . You will pay starting in 4 years equal monthly ( end of month ) payments for 1 0 years. So , you will start...

Homework: Section 8.4 Homework Score: 0 of 1 pt 15 of 24 (23 complete) X 8.4.33 How much more would you earn in the first investment than in the second investment? $23.000 invested for 50 years at...