Solving dynamics problems in steps:1. Collect data and assumptions2. Desired result?3. Make drawing/sketch of the (sub)problem4. Equations and calculations5. Answer and conclusionsFurthermore:- Write down the steps clearlyCheck intermediate results (accuracy)Dimension check and units!Magnitude of number in line with expectation? F(t)L/4L/4L/4k,loWWDerive the equation of motion by usinga) Newton's second lawoX abgQuestion 5: Consider the mechanical system shown on the next page. Note that thisfigure contains geometric information. A uniform, homogeneous, slender rod withlength L [m] and mass m [kg] can rotate about fixed point O. Its orientation is given byangle 8(t) [rad], which is defined positive in counterclockwise direction. An externalforce F(t) [N] acts on the end of the slender rod under a fixed angle of Ø [rad] with thehorizontal. The slender rod is connected to a spring with stiffness k [N/m] andunstretched length lo [m] and a damper with damping constant d [Ns/m]. Note that theforce exerted by the spring and damper is always directed horizontally. The gravitationalacceleration g [m/s2] acts in negative vertical direction.b) Lagrange's methodc) Compare your results (is your answer correct?)d) Determine the equilibrium point when F(t) is zeroe) Calculate the mass, stiffness and damping matrix. You don't have to fill in theequilibrium point(s)

Answered: Image /qna-images/answer/bd0886c3-2a2c-4f86-bd28-c5e0c1eb42e2.jpg

Question 5: Consider the mechanical system shown on the next page. Note that this figure contains geometric information. A uniform, homogeneous, slender rod with length L [m] and mass m [kg] can rotate about fixed point O. Its orientation is given by angle (t) [rad], which is defined positive in counterclockwise direction. An external force F(t) [N] acts on the end of the slender rod under a fixed angle of Ø [rad] with the horizontal. The slender rod is connected to a spring with stiffness k [N/m] and unstretched length lo [m] and a damper with damping constant d [Ns/m]. Note that the force exerted by the spring and damper is always directed horizontally. The gravitational acceleration g [m/s2] acts in negative vertical direction. Derive the equation of motion by using a) Newton's second law b) Lagrange's method c) Compare your results (is your answer correct?) d) Determine the equilibrium point when F(t) is zero e) Calculate the mass, stiffness and damping matrix. You don't have to fill in the equilibrium point(s)

Question 5: Consider the mechanical system shown on the next page. Note that this figure contains geometric information. A uniform, homogeneous, slender rod with length L [m] and mass m [kg] can rotate about fixed point O. Its orientation is given by angle (t) [rad], which is defined positive in counterclockwise direction. An external force F(t) [N] acts on the end of the slender rod under a fixed angle of Ø [rad] with the horizontal. The slender rod is connected to a spring with stiffness k [N/m] and unstretched length lo [m] and a damper with damping constant d [Ns/m]. Note that the force exerted by the spring and damper is always directed horizontally. The gravitational acceleration g [m/s2] acts in negative vertical direction. Derive the equation of motion by using a) Newton's second law b) Lagrange's method c) Compare your results (is your answer correct?) d) Determine the equilibrium point when F(t) is zero e) Calculate the mass, stiffness and damping matrix. You don't have to fill in the equilibrium point(s)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

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Solving dynamics problems in steps:
1. Collect data and assumptions
2. Desired result?
3. Make drawing/sketch of the (sub)problem
4. Equations and calculations
5. Answer and conclusions
Furthermore:
- Write down the steps clearly
Check intermediate results (accuracy)
Dimension check and units!
Magnitude of number in line with expectation?

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