A certain mass-spring-damper system has the following equation of motion. Suppose that the initial conditions are zero
Question:
Suppose that the initial conditions are zero and that the applied force f(t) is a step function of magnitude 5000. Solve for x(t) for the following two cases:
(a) c = 680
(b) c = 400.
Transcribed Image Text:
40x +cx + 1200x: = f(t)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
a The characteristic equation is 40s 2 680s 1200 0 which has the roots s 2 and s 15 The form of ...View the full answer
Answered By
HARSH RANJAN
Taken classes at college to graduates, Also worked as an expert to a freelancer online question-solving portal for more than 8 months with an average rating greater than 4.2 out of 5.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Classical Dynamics Of Particles questions
-
A rocket sled has the following equation of motion: 6 = 2700 - 24v. How long must the rocket fire before the sled travels 2000 m? The sled starts from rest.
-
Solve for y(t) in the following differential equation if the initial conditions are zero. d'y dr? dt + 8- dt cos 21
-
A mass-spring-damper system has a mass of 100 kg. Its free response amplitude decays such that the amplitude of the 30th cycle is 20% of the amplitude of the 1st cycle. It takes 60 s to complete 30...
-
5.8 LAB: Structuring data using scale() and MinMaxScaler() The hmeq_small dataset contains information on 5960 home equity loans, including 7 features on the characteristics of the loan. Load the...
-
WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and...
-
During the summer, a group of students builds kayaks in a converted garage. The rental for the garage is $1,500 for the summer, and the materials needed to build a kayak cost $125. The kayaks can be...
-
What is a split-ballot technique and what is it used for?
-
Explain why a survey of the current system may no purpose when an organization is planning to implement an ERP.
-
Amy wants to take the next five years off work to travel around the world. She estimates her annual cash needs at $34,000 (if she needs more, she will work odd jobs). Amy believes she can invest her...
-
Circle Q ranchers, Inc. has had enough of U.S. regulations, and has moved its operations across the border into Mexico, where it is now incorporated and follows accounting regulations for publicly...
-
A 50-kg block is placed on an inclined plane whose angle with the horizontal is 25. The viscous friction coefficient between the block and the plane is c = 6 N s/m. (a) Derive the equation of motion,...
-
For each of the systems shown in Figure, the input is the force f and the outputs are the displacements x1 and x2 of the masses. The equilibrium positions with f = 0 correspond to x1 = x2 = 0....
-
A Alkynes can be made by dehydrohalogenation of vinylic halides in a reaction that is essentially an E2 process. In studying the stereochemistry of this elimination, it was found that...
-
Find the points where the two curves intersect. List your answers as points in the form (x, y). If there are no solutions, type "None". Answer (separate by commas): (f(x) = x-3x+ g(x) = x+1 3x+4)
-
According to the principle of separation of Betty Brown's ballots, there will be a total number of ballots to be formed along with 1 ballot to hold a seat in the Board of Directors. Therefore, there...
-
Tobesco Corporation 2020 and 2021 Balance sheets (in millions) 2020 2021 Change Assets Current assets Cash 84 146 62 Accounts receivable 165 188 23 Inventory 393 422 29 Total current assets 642 756...
-
Halo Enterprises recently experienced a fire, forcing the company to use incomplete information to analyze operations. Consider the following data and assume that all materials purchased during the...
-
In the dynamic landscape of manufacturing and sales, Caribann is a company with the potential to produce 100,000 units of its sole product annually. Caribann's interplay of costs and production...
-
In Exercises match the graph of in the left column with that of its derivative in the right column. (a) (b) (c) (d) Graph of f' 3 VAA 2 -2 -3+ X
-
TRUE OR FALSE: 1. Banks with a significantly large share of fixed-interest rate home loans are less exposed to interest rate risks. 2. Although Australian banks are pretty big, they are not...
-
A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.54. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your...
-
The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (- 5.00 x 107)t 2 + (3.00 x 105)t, where v is in meters per second and t is in seconds. The...
-
The acceleration of a marble in a certain fluid is proportional to the speed of the marble squared, and is given (in SI units) by a = -3.00v 2 for v > 0. If the marble enters this fluid with a speed...
-
What choice is a multiple of 5? a) 93 b) 63 c) 65 d) 84
-
Determine how many tablets will be needed to give the dosage. Prepare a dosage of 6.4 mg using tablets with a strength of 1.6 mg.
-
(a). Company Inc., private consumer regulator firm, claims that the standard deviation of the rating of Formula One races in the town main car racing circuit was at least 15.34. (b). An outside...
Study smarter with the SolutionInn App