2 N-s/m6 N/m0000 4 kg4(1)2 N-s/mX₂(7)00006 N/m4 kgFrictionless-f(1)4 kgX₂ (1)2 N-s/m For the following mechanical systems,obtain the equations of motion in Laplacedomain.

Answered: Image /qna-images/answer/2b6e6efa-3654-4a2a-8cf0-1549b993b371.jpg

Answered: For the following mechanical systems,…

Engineering

Mechanical Engineering

For the following mechanical systems, obtain the equations of motion in Laplace domain.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: ystem. θ(s)/F(s) =? Show all intermediate o

A: Distance, L1 and L3 To-Determine:- a. Free Body Diagram b. Transfer function θsFs

Q: prive an expression for the curvature of a spherical surface in terms of the freque e surface and…

A: Since, both questions are different. As per answering guidelines and honor code i can answer 1st.…

Q: K F(t) B wwww M1 Arm is massless: l Point mass: M 100

Q: Consider a free (unforced), undamped mass-spring system with mass m = 1/5 kg, damping constant c = 0…

A: Given-To Find-

Q: Determine the equivalent torsional spring constant of a spring that will represent the system such…

Q: Find the equation of motion using the Lagrangian method?

A: A capacity that portrays the condition of a powerful framework is abounding as far as position…

Q: maximum mass that can be held in this way

Q: The answer for natural frequency is given below. Obtain the differential equation of motion and…

A: From the similar triangle-δ1l1=δ3l3δ1=l1l3δ3 .....(1)Similarly,δ2l2=δ3l3δ2=l2l3δ3 .....(2)

Q: Obtain the equation of motion by drawing the free body diagrams of the given system. b) Obtain the…

Q: 1. Consider the system shown: a. Determine the differential equation describing the system X2 b.…

A: Given:

Q: 1. Draw the free-body diagram of the systmes depicted below and derive the differential equation…

A: For system (a):For system (b):For system (c):

Q: 1. Use free-body diagram method to derive the governing differential equation of motion of the…

Q: a) get the equations of motion by drawing the free body diagrams of the given system. b) obtain the…

A: Given data To determine the equation of motion by drawing the free body diagram of the given…

Q: Tu) Ny Na DL

A: First of all reflect all impedances on the right to the viscous damper Then Take all impedances and…

Q: For the translational mechanical system shown in the figure: i.) Construct the free-body diagrams.…

Q: Would you explain more about equations of motion and the Laplace transform in this question ?

A: The equation of motion for the disk can be derived using the following steps:Apply Newton's second…

Q: Consider a mass m attached to a spring with natural length 7, hanging vertically under the action of…

A: the motion will be started from that instant when the system is released. ie. at t=0 But analysis of…

Q: k1 mi m2 100

A: Given : To find : Equation of motion

Q: Draw the free body diagrams for M1 and M2. Write the force equation in time domain and s-domain for…

A: Free body Diagram for M1

Q: The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the…

Q: Find the angular frequency of motion of disc of mass m and radius r for small motion (Assuming that…

Q: A submarine is rolling under seawater whose radius of gyration is 12 m and period of oscillation of…

Q: The figure shows a photo of a swing ride at an amusement park. The structure consists of a…

A: As per bartleby guidelines only first three subparts are answered.for other parts pls post them…

Q: (s) (s + 15)(s² +4s + 100) a. 0 (s + 4)(s² + 2s + 90) b. G(s) =

Q: (1) In the system shown in Figure below, r(t) is the input displacement and e(t) is the output…

A: Given:

Q: A model for the elbow joint models the bicep muscle connecting to the horizontal forearm by a…

A: Given data: T=2250 NL=30 cm Need to determine the maximum mass that can be held in this way.

Q: A spherical pendulum consists of a bob of mass m suspended from an inextensible string of length l.…

A: Aspherical pendulum consists of a bob of mass m suspended from an inextensible string of length L.…

Q: For the system shown in Figure Q 4: (i) Draw the free body diagram (i1) Formulate the equation of…

A: Consider a system having mass M attached by two spring and fixed at another end on the wall.…

Q: 4. Consider a mass of 500 g placed at the end of a spring with stiffness constant 100 N/m and…

A: To solve: The differential equation. Given: The initial displacement of the spring is x(0)=1 cm1…

Q: echanism shown in figure P4.9, determine (a) the velocity of point 3 (b) the sliding

A: r02A = 6 cmrAB = 12 cmrBC = 9 cmθ1 = 315∘θ2 = 180 rpm Angular velocity = 2 π N60 = 2 π 18060…

Q: Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this…

Q: K2 K1 Massless lever and pulley. There is no gravity. M В K3 F(t) ww

A: given,

Q: the pump and motor assembly stops work when you find the sum of the product of vibration intensity…

A: First, we'll denote the vibration intensity as V, acceleration as a, speed as v, and distance moved…

Q: systems undergo planer motion. massless linkage corriage 3K roller 3K m 2m 4m m r massless f…

A: First we will evaluate the variables involved in system and then we will figure out number of…

Q: A thin rod of mass m = 12 kg is constrained to rotate about an axis through its center, but there is…

Q: 3. Find the transfer function, (03(s)/T(s)), of the given rotational mechanical system using a.…

A: It is asked to find the trasfer function

Q: Recall the two coupled masses undergoing linear oscillations in Example 8, p.22-25. Solve a simple…

A: For solution refer below images.

Q: Derive the differential equation of motion for the system shoen in Figure () in terms of the…

Q: In this lab, we will observe the free response of a first order mechanical system: a rotating…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 2. Duffing's equation is a model for a dynamic system that includes a damping term and a nonlinear…

A: Hamilton's Principle states that the dynamics of a physical system can be derived from minimizing…

Q: Derive the kinetic energy equations and the mass equivalents of the two-system shown. -Thin disk of…

Q: A cylinder of radius a and mass m rolls without slipping on a fixed cylinder of radius b. Evaluate…

A: For simplification we will take b=R and a=r, and let R+r=a

Q: - Low-speed shaft - Gearbox JI Rotor Hub- kel - High-speed shaft k2 Nacelle- Blade de

A: Solution

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

2 N-s/m
6 N/m
0000 4 kg
4(1)
2 N-s/m
X₂(7)
0000
6 N/m
4 kg
Frictionless
-f(1)
4 kg
X₂ (1)
2 N-s/m

For the following mechanical systems,
obtain the equations of motion in Laplace
domain.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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

Please only solve problem 2.17. 2.16 is needed for 2.17 and the work is shown in the picture
Find the equation of motion using the Lagrangian method?
Solve b part only but hand written...i'll rate
can you show the steps taken to equation of motion, how do you find the steady displacement of the mass m,find the total reponse in detail and the show the step taken to find the force transmitted in the part c.
Provide a clear and step by step derivation of BERNOULLI'S EQUATION OF MOTION
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of Ffriction -cz' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, t' (t) = Au(t), with = (₁, 21, 22, 2₂) I For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are -0.039-0.248i 0.813 A₁2=-0.5±3.2i, v₁ = 0.024 +0.153i -0.502 -0.134-0.302i 0.409 -0.2160.489 0.661 (a) Find a set of initial displacements (0), 2(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. A3,4 -0.5± 1.13i, z = and (2₁ (0), ₂(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency rad/s
The isotropic reducing of the dimensions influences of the frequency as : Decreasing of natural frequency Increasing of natural frequency No change of natural frequency Resonance exiting Antiresonance exiting
Suppose a mass-spring system has spring constant 712 N/m and mass 4.4 kg. The mass is displaced in the negative x-direction by 0.22 m and set in motion at 2.55 m/s in the positive x-direction. Calculate the phase shift as a positive angle in radians, assuming a cosine solution.
Mechanical Vibration Question is image
Translational Mechanical Systems The mechanical system shown in figure is driven by the applied force fa(t). When x1 = x2 = 0, the springs are neither stretched nor compressed. a. Draw the free body diagram(s) and write the differential equations. x2 wwK₁ X1 K₂ voo 000 M₂ fa(t) M₁ B
2. (25) For the rotational system shown in the fig- ure, write the equations of motion from which the transfer function, G(s) = 01(8)/T(s), can be found.
A simple harmonic oscillator, of mass and natural frequency , experiences anoscillating driving force . Therefore, its equation of motion is where is its position. Given that at we have , , find thefunction . Describe the solution if is approximately, but not exactly, equal to .