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mi Question 3. Find the general solution of the forced Mass-Spring system with the following parameters...
Use the variation of parameters formula to find a general solution of the system x'(t) =...
Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 2 A= -4 2 ,f(t) = -1 14 +2t - 1 Let x(t) = x (t) + X(t), where xn(t) is the general solution corresponding to the homogeneous system, 1 xp (t) is a particular solution to the nonhomogeneous system. Find xh (t) and xp(t). and 1 -2 Xh(t) = 41 2 1 1 X(t)...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended ...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the...
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the given system parameters: m= 2 kg k = 200 N/m • Initial Conditions: Xo = 0.005 m to = 0.5 • Initial amplitude of the external force, 10 N • Excitation's frequency w 4 rad/sec m Find x(t) t = 10 sec, x(t = 10) = Take Test: Test Part-2 VULUTUIN Find the response amplitude at the chosen time for the given system parameters:...
QUESTION 2: Consider this forced translational mass-spring-damper (MSD) system: The input is the external force "F(t)"...
QUESTION 2: Consider this forced translational mass-spring-damper (MSD) system: The input is the external force "F(t)" and the output is position "x(t)." The transfer function for this system is g) - 6 - Mz? +BS+K It is known that M - 1 kg. B - 10 mm, and there are three possible values of K: (K = 16 K = 34 NK-89 The only possible external forces "F(t)" have the following Laplace transforms: 1) F,(s) - 0 (corresponding to external...
Solve the question in Matlab and please show Matlab code Consider a double Spring-Mass-Damper System as...
Solve the question in Matlab and please show Matlab code
Consider a double Spring-Mass-Damper System as shown in the figure below: U >F(t) A. Create a Simulink model to simulate the dynamics of the above system for the following parameter values: F(t) = Step input force of magnitude 5 N ml = 7 kg, b1 = 3 Nsec/m, kl = 4 N/m m2 = 3 kg, b2 = 1 Nsec/m, k2= 2 N/m B. Submit a snapshot of the Simulink...
Need the following question answered, the subject is Mathematical Methods 2 (Mechanical Engineering). This is a...
Need the following question answered, the subject is
Mathematical Methods 2 (Mechanical Engineering). This is a
University style question/practice paper with sections and I want
the solutions to it, this comes with a formula sheet and if
possible, use the formula sheet to answer the question. Need
Calculations shown to each part of the question, My Teacher hasn't
got back to me regarding the solutions so here I am, Thank you.
Note: Please answer the question in UK style format...
Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 2 A= -4 2 ,f(t) = -1 14 +2t - 1 Let x(t) = x (t) + X(t), where xn(t) is the general solution corresponding to the homogeneous system, 1 xp (t) is a particular solution to the nonhomogeneous system. Find xh (t) and xp(t). and 1 -2 Xh(t) = 41 2 1 1 X(t)...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
QUESTION 31 Forced Undamped system, Find the general response amplitude at the chosen time for the given system parameters: m= 2 kg k = 200 N/m • Initial Conditions: Xo = 0.005 m to = 0.5 • Initial amplitude of the external force, 10 N • Excitation's frequency w 4 rad/sec m Find x(t) t = 10 sec, x(t = 10) = Take Test: Test Part-2 VULUTUIN Find the response amplitude at the chosen time for the given system parameters:...
QUESTION 2: Consider this forced translational mass-spring-damper (MSD) system: The input is the external force "F(t)" and the output is position "x(t)." The transfer function for this system is g) - 6 - Mz? +BS+K It is known that M - 1 kg. B - 10 mm, and there are three possible values of K: (K = 16 K = 34 NK-89 The only possible external forces "F(t)" have the following Laplace transforms: 1) F,(s) - 0 (corresponding to external...
Solve the question in Matlab and please show Matlab code
Consider a double Spring-Mass-Damper System as shown in the figure below: U >F(t) A. Create a Simulink model to simulate the dynamics of the above system for the following parameter values: F(t) = Step input force of magnitude 5 N ml = 7 kg, b1 = 3 Nsec/m, kl = 4 N/m m2 = 3 kg, b2 = 1 Nsec/m, k2= 2 N/m B. Submit a snapshot of the Simulink...
Need the following question answered, the subject is
Mathematical Methods 2 (Mechanical Engineering). This is a
University style question/practice paper with sections and I want
the solutions to it, this comes with a formula sheet and if
possible, use the formula sheet to answer the question. Need
Calculations shown to each part of the question, My Teacher hasn't
got back to me regarding the solutions so here I am, Thank you.
Note: Please answer the question in UK style format...
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