The equation of motion of a single-degree-of-freedom system is given by [2 ddot{x}+0.8 dot{x}+1.6 x=0] with initial

Question:

The equation of motion of a single-degree-of-freedom system is given by

\[2 \ddot{x}+0.8 \dot{x}+1.6 x=0\]

with initial conditions $x(0)=-1$ and $\dot{x}(0)=2$.

(a) Plot the graph $x(t)$ versus $t$ for $0 \leq t \leq 10$.

(b) Plot a trajectory in the phase plane.

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

Step by Step Answer:

Related Book For book-img-for-question

Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

See More Books

Question Posted: May 04, 2024 08:01 AM

See More Questions

Explain how to derive a sequence of transformations to achieve the overall effect of performing a 2D rotation about an arbitrary point. Discuss the problems of providing tractable models of...
solve for the return on equity for both firms.Assume a 40% tax rate and a 15% interest rate.Remember, return on equity can be solved for as net income divided by equity, or NI/E (E can be found in...
s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...
In Problems 4164, graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x 2 ) and show all the...
Monochlorination of methylcyclopentane can result in several products. Give the same information as that requested in Problem 56 for the monochlorination of methylcyclopentane at Cl, C2, and C3.
Calculate the percentage of pyridine (C 5 H 5 N) that forms pyridinium ion, C 5 H 5 NH + , in a 0.10 M aqueous solution of pyridine (Kb = 1.7 x1029).
For the enhanced machine-repair model of Exercise 5-22, do a valid statistical analysis to defend your choice of the number of repair technicians to hire to minimize total average cost per hour. Make...
Pate Bros. uses the allowance method to account for uncollectible accounts expense. Pate experienced the following four events in 2013: 1. Recognized $68,000 of revenue on account. 2. Collected...
Ada, Bell and Carol, all Australian tax residents, operate a beauty salon in partnership. They have agreed to share profits and losses as follows: Ada 30% Bell 20% Carol 50% For the tax year ending...
Find the equilibrium position and plot the trajectories in the neighborhood of the equilibrium position corresponding to the following equation: \[\ddot{x}+0.1\left(x^{2}-1 ight) \dot{x}+x=0\]
The equation of motion for the forced vibration of a single-degree-of-freedom nonlinear system can be expressed as \[\ddot{x}+c \dot{x}+k_{1} x+k_{2} x^{3}=a_{1} \cos 3 \omega t-a_{2} \sin 3 \omega...
A coupon bond paying semiannual interest is reported as having an ask price of 117% of its $1,000 par value. If the last interest payment was made one month ago and the coupon rate is 6%, what is the...
A VP of talent development requests a two - day communication skills training for the team. The VP and the trainer meet for a planning session. The VP explains the department is working on several...
-1 0 1 b. Open Gain A = V/V 8. Draw the transfer function curve of Vo versus Vdiff of an op-amp, where Vdiff - V+ V_, for the following cases. Sweep V diff from -1V to +1V. Rails are -1V to +1V. a....
This case describes the development of the Benihana restaurant "model". The company, started by a young Japanese entrepreneur, has grown to a chain of 15 restaurants. We will discuss Benihana's...
Windsor Company lost most of its inventory in a fire in December just before the year-end physical inventory was taken. Corporate records disclose the following. Inventory (beginning) $ 79,600 Sales...
Consider how modern commercial aviation development and regulation would be different if the United States had not used aviation during World War II.
Think about one organization that you know well. Assess the organization in the three dimensions of opposing viewpoints in organizations.
Evaluate how many lines there are in a true rotational spectrum of CO molecules whose natural vibration frequency is w = 4.09 1014 s1 and moment of inertia I = 1.44 1039 g cm2.
Blane Products Manufacturing uses job costing. In June, material requisitions were $61,200 ($56,000 of these were direct materials), and raw material purchases were $76,700. The end of month balance...
Cullumber Ltd. manufactures three models of childrens swing sets: Standard, Deluxe, and Super. The Standard set is made of steel, the Deluxe set is made of aluminum, and the Super set is made of a...
Summarize the financial results of amazon for 2018. Include the company's current financial performance and any future implications. Provide at least four key points addressed by management related...

The equation of motion of a single-degree-of-freedom system is given by [2 ddot{x}+0.8 dot{x}+1.6 x=0] with initial

Question:

Step by Step Answer:

Mechanical Vibrations

Students also viewed these Engineering questions