EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2, Problem 2.5P
To determine
The Laplace transform of given function.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The Mach number NM for flow of a perfect gas in a pipe depends upon the specific-heat ratio k (dimensionless), the pressure p, the density ρ, and the velocity V. Obtain by dimensional reasoning the form of the Mach number expression. (Buckingham pi)Answer: NM = f(V/sqrt(p/ρ), k)
oyfr
3. The figure shows a frame under the
influence of an external loading made up
of five forces and two moments. Use the
scalar method to calculate moments.
a. Write the resultant force of the
external loading in Cartesian vector
form.
b. Determine the
& direction
of the resultant moment of the
external loading about A.
15 cm
18 cm
2.2 N-m
B
50 N
45°
10 cm
48 N.m
250 N
60 N
20
21
50 N
25 cm
100 N
A
118,
27cm 5, 4:1
Assume the Link AO is the input and revolves 360°, determine a. the coordinates of limit positions of point B, b. the angles (AOC) corresponding to the limit positions
Chapter 2 Solutions
EBK SYSTEM DYNAMICS
Ch. 2 - Prob. 2.1PCh. 2 - Solve each of the following problems by direct...Ch. 2 - Solve each of the following problems by separation...Ch. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Obtain the Laplace transform of the following...Ch. 2 - Obtain the Laplace transform of the function shown...Ch. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Obtain the inverse Laplace transform xt for each...Ch. 2 - Solve the following problems: 5x=7tx0=3...Ch. 2 - Solve the following: 5x+7x=0x0=4 5x+7x=15x0=0...Ch. 2 - Solve the following problems: x+10x+21x=0x0=4x0=3...Ch. 2 - Solve the following problems: x+7x+10x=20x0=5x0=3...Ch. 2 - Solve the following problems: 3x+30x+63x=5x0=x0=0...Ch. 2 - Solve the following problems where x0=x0=0 ....Ch. 2 - Invert the following transforms: 6ss+5 4s+3s+8...Ch. 2 - Invert the following transforms: 3s+2s2s+10...Ch. 2 - Prob. 2.21PCh. 2 - Compare the LCD method with equation (2.4.4) for...Ch. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - (a) Prove that the second-order system whose...Ch. 2 - For each of the following models, compute the time...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - If applicable, compute , , n , and d for the...Ch. 2 - Prob. 2.31PCh. 2 - For each of the following equations, determine the...Ch. 2 - Prob. 2.33PCh. 2 - Obtain the transfer functions Xs/Fs and Ys/Fs for...Ch. 2 - a. Obtain the transfer functions Xs/Fs and Ys/Fs...Ch. 2 - Prob. 2.36PCh. 2 - Solve the following problems for xt . Compare the...Ch. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Determine the general form of the solution of the...Ch. 2 - a. Use the Laplace transform to obtain the form of...Ch. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Obtain the inverse transform in the form xt=Asint+...Ch. 2 - Use the Laplace transform to solve the following...Ch. 2 - Express the oscillatory part of the solution of...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - 2.54 The Taylor series expansion for tan t...Ch. 2 - 2.55 Derive the initial value theorem:
Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to solve for and plot the unit-step...Ch. 2 - Use MATLAB to solve for and plot the unit-impulse...Ch. 2 - Use MATLAB to solve for and plot the impulse...Ch. 2 - Use MATLAB to solve for and plot the response of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- oyfr 3. The figure shows a frame under the influence of an external loading made up of five forces and two moments. Use the scalar method to calculate moments. a. Write the resultant force of the external loading in Cartesian vector form. b. Determine the & direction of the resultant moment of the external loading about A. 15 cm 18 cm 2.2 N-m B 50 N 45° 10 cm 48 N.m 250 N 60 N 20 21 50 N 25 cm 100 N A 118, 27cm 5, 4:1arrow_forwardThe 2-mass system shown below depicts a disk which rotates about its center and has rotational moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring with constant k₂ is attached to the disk at a distance from the center. The mass m has linear displacement & and is subject to an external force u. When the system is at equilibrium, the spring forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may assume the small angle approximation which implies (i) that the springs and dampers remain in their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the edge of the disk can be approximated by d≈re. Ө K2 www m 4 Cz 777777 Jo Make the following assumptions when analyzing the forces and torques: тв 2 0>0, 0>0, x> > 0, >0 Derive the differential equations of motion for this dynamic system. Start by sketching LARGE and carefully drawn free-body-diagrams for the disk and the…arrow_forwardA linear system is one that satisfies the principle of superposition. In other words, if an input u₁ yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com- bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2. Using this fact, determine the output y(t) of the following linear system: given the input: P(s) = = Y(s) U(s) = s+1 s+10 u(t) = e−2+ sin(t) =earrow_forward
- The manometer fluid in the figure given below is mercury where D = 3 in and h = 1 in. Estimate the volume flow in the tube (ft3/s) if the flowing fluid is gasoline at 20°C and 1 atm. The density of mercury and gasoline are 26.34 slug/ft3 and 1.32 slug/ft3 respectively. The gravitational force is 32.2 ft/s2.arrow_forwardUsing the Bernoulli equation to find the general solution. If an initial condition is given, find the particular solution. y' + xy = xy¯¹, y(0) = 3arrow_forwardTest for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. a. 2xydx+x²dy = 0 b. (x2+y2)dx-2xydy = 0 c. 6xydx+5(y + x2)dy = 0arrow_forward
- Newton's law of cooling. A thermometer, reading 5°C, is brought into a room whose temperature is 22°C. One minute later the thermometer reading is 12°C. How long does it take until the reading is practically 22°C, say, 21.9°C?arrow_forwardSolve a. y' + 2xy = ex-x² b. y' + y sin x = ecosx, y(0) = −1 y(0) = −2.5arrow_forward= MMB 241 Tutorial 3.pdf 2/6 90% + + 5. The boat is traveling along the circular path with a speed of v = (0.0625t²) m/s, where t is in seconds. Determine the magnitude of its acceleration when t = 10 s. 40 m v = 0.0625² 6. If the motorcycle has a deceleration of at = (0.001s) m/s² and its speed at position A is 25 m/s, determine the magnitude of its acceleration when it passes point B. .A 90° 300 m n B 2arrow_forward
- = MMB 241 Tutorial 3.pdf 4/6 67% + 9. The car is traveling along the road with a speed of v = (2 s) m/s, where s is in meters. Determine the magnitude of its acceleration when s = 10 m. v = (2s) m/s 50 m 10. The platform is rotating about the vertical axis such that at any instant its angular position is u = (4t 3/2) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r = (0.1+³) m, where t is in seconds. Determine the magnitudes of the velocity and acceleration of the ball when t = 1.5s.arrow_forwardThe population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years the population has doubled, and after three years the population is 20,000, estimate the number of people initially living in the country.arrow_forward= MMB 241 Tutorial 3.pdf 6/6 100% + | 日 13. The slotted link is pinned at O, and as a result of the constant angular velocity *= 3 rad/s it drives the peg P for a short distance along the spiral guide r = (0.40) m, where 0 is in radians. Determine the radial and transverse components of the velocity and acceleration of P at the instant = 1/3 rad. 0.5 m P r = 0.40 =3 rad/sarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Thermodynamics: Maxwell relations proofs 1 (from ; Author: lseinjr1;https://www.youtube.com/watch?v=MNusZ2C3VFw;License: Standard Youtube License