Langrange function of a dynamic system is given below, a, b, k1 and k2 are constants.
a) Find
the Hamiltonian function of the system?
b) Determine
the Hamiltonian equations of motion for this system?
c) Find
conservative values, if any?
Homework Answers
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Langrange function of a dynamic system is given below, a, b,
k1 and k2 are constants.
...
Derive the equation of motion of the system below as a function of k1, k2, m,...
Derive the equation of motion of the system below as a function
of k1, k2, m, l1, l2, l3 and c.
CH, Rigid Massless Link
Given that K1 and K2 are the respective equilibrium constants for the two reactions CO2(g) +...
Given that K1 and K2 are the respective equilibrium constants for the two reactions CO2(g) + H2(g) = CO(g) + H2O(l) K1 = 3.08×10-4 CdO(s) + H2(g) = Cd(s) + H2O(l) K2 = 40.7 Determine the equilibrium constant for the reaction CO(g) + CdO(s) = CO2(g) + Cd(s) K =
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Thank You & Thumps Up. K1,K2,B,M is not given. Can you solve without plugging in these values...
Thank You & Thumps Up.
K1,K2,B,M is not given. Can you solve without plugging in these
values. I mean just the general form of the equation that works
with any of those values.
The system show in Figure 1 a) was used in problem 3 on the exam A very similar system is shown in Figure 1 b). K1 K2 Xm Xin a) K1 K2 Xm Xin Kir b) Figure l Two Similar systems In this Boms Offer, you are...
Derive the equation of motion of the system below as a function of ki, k2, m,...
Derive the equation of motion of the system below as a function of ki, k2, m, 12, 13 and c. 2 k2 t Rigid Massless Link
imaginary axis crossing points, respectively (l any).] 9.3 The figure below shows a feedback control system with internal rate compensation r(s) y(s) S(s +2) Bs (a) Set K1-2 and K2-5 and sketch th...
imaginary axis crossing points, respectively (l any).] 9.3 The figure below shows a feedback control system with internal rate compensation r(s) y(s) S(s +2) Bs (a) Set K1-2 and K2-5 and sketch the root locus with β the varied parameter where β> 0 (b) Can system be a marginally stable? if it is not marginally stable please explain why (c) Determine the value of B such that the closed loop system is critically damped.
imaginary axis crossing points, respectively (l...
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end...
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end is fixed and K1 and K2=K (5) Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes Determine and explain how to get the natural frequencies 1. (5) (5) 2. 3. Figure 5 ww ww-
For the system shown in Figure 5, a. How many degrees of freedom...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0 (the upper end is fixed and K1 and K2=K Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes (5) (5) (5) 1. 2. 3. Determine and explain how to get the natural frequencies. m2 Figure 5 www
Problem 5 (20%) For the system shown in Figure...
Determine the values of the constants B and C so that the function given below is...
Determine the values of the constants B and C so that the function given below is differentiable. f(x) = ſ 9 x x < 1 VIA BEC a) O {B = 27, C = 54} b) O {B = 27, C = 63} c) O {B = 27, C = -18} d) {B = -54, C = -18} e) {B = -27, C = 36}
For a parallel reaction A goes to B with rate constant k1 and A goes to...
For a parallel reaction A goes to B with rate constant k1 and A goes to C with rate constant k2, you determine that the activation energies are 38.3 kJ/mol for k1 and 169.3 kJ/mol for k2. If the rate constants are equal at a temperature of 316 K, at what temperature (in K) will k1/k2 = 2?
Derive the equation of motion of the system below as a function
of k1, k2, m, l1, l2, l3 and c.
CH, Rigid Massless Link
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Thank You & Thumps Up.
K1,K2,B,M is not given. Can you solve without plugging in these
values. I mean just the general form of the equation that works
with any of those values.
The system show in Figure 1 a) was used in problem 3 on the exam A very similar system is shown in Figure 1 b). K1 K2 Xm Xin a) K1 K2 Xm Xin Kir b) Figure l Two Similar systems In this Boms Offer, you are...
Derive the equation of motion of the system below as a function of ki, k2, m, 12, 13 and c. 2 k2 t Rigid Massless Link
imaginary axis crossing points, respectively (l any).] 9.3 The figure below shows a feedback control system with internal rate compensation r(s) y(s) S(s +2) Bs (a) Set K1-2 and K2-5 and sketch the root locus with β the varied parameter where β> 0 (b) Can system be a marginally stable? if it is not marginally stable please explain why (c) Determine the value of B such that the closed loop system is critically damped.
imaginary axis crossing points, respectively (l...
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end is fixed and K1 and K2=K (5) Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes Determine and explain how to get the natural frequencies 1. (5) (5) 2. 3. Figure 5 ww ww-
For the system shown in Figure 5, a. How many degrees of freedom...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0 (the upper end is fixed and K1 and K2=K Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes (5) (5) (5) 1. 2. 3. Determine and explain how to get the natural frequencies. m2 Figure 5 www
Problem 5 (20%) For the system shown in Figure...
Determine the values of the constants B and C so that the function given below is differentiable. f(x) = ſ 9 x x < 1 VIA BEC a) O {B = 27, C = 54} b) O {B = 27, C = 63} c) O {B = 27, C = -18} d) {B = -54, C = -18} e) {B = -27, C = 36}
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