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)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.8P

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