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applied to the masesdthe displacements I1 and sg of the mases For the system in Figure...
1. Given the spring-mass-damper system in the figure below T3 T1 T2 b2 b1 k3 (a) Find the equatio...
1. Given the spring-mass-damper system in the figure below T3 T1 T2 b2 b1 k3 (a) Find the equations of motion for each of the masses 脳. Fi(s) (b) Assume F1 0 and find the transfer function (c) Assume Fs 0 and find the transfer function (d) Write the equations in matrix-vector form: M.ї + Bi + Kx-F where z is a 3 x 1 vector with the displacements r,2, r3 as components, M is the mass matrix, B is...
The system shown below is made up of one mass and two inertia's (M, I1, and...
The system shown below is made up of one mass and two inertia's (M, I1, and I2). Mass M is connected to Inertia I2 by a damper Ci that is pivoted at each end. The system outputs are y and 0, and the input is force F. At the equilibrium position shown all of the springs are unstretched. Therefore for this problem the initial spring forces are zero and may be neglected. Find the governing differential equations of motion in...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are m and both lengths are L 2 Figure 3: System for Problem 3 (a) Derive the differential equations of motion for the system. The angles a(t) and θ2(t) can be arbitrarily large. (b) Linearize the equations by assuming that a (t) and 02(t) are small. Write the linearized differential equations in matrix form (c) Obtain the natural frequencies and modes of vibration. (d) Plot...
The mechanism shown in figure 1 converts rotary motion to linear motion. Find the analytical equations relating the input angular displacements/velocities/accelerations and the output linear displace...
The mechanism shown in figure 1 converts rotary motion to linear motion. Find the analytical equations relating the input angular displacements/velocities/accelerations and the output linear displacements/velocities/accelerations. Then, writing a computer program, simulate the motion of the mechanism with various motor inputs of θ, θ, θ for the following cases: 1- Assume that θ, θ are equal to zero, Plot the linear displacement when θ is changing with 1 degree increments. 2-Assume that θ is zero, θ is a constant that...
the following problem is of a two-mass system. I have 2 questions 1. find the transfer...
the following problem is of a two-mass system. I have 2
questions
1. find the transfer function from input F2 to output x1
2. for the transfer function found, determine the sensitivity to
variation in parameter B12
note: i already found the differential eqns of motion for
t>0
Problem formulation Two masses are connected as shown in Fig. 1. Input forces Fi(t) and F.(t) act on masses m, and mg, respectively. The outputs are positions xi(t) and x2(t). Initial conditions...
3) For the system shown in the figure, the input is the torque T(t) and the...
3) For the system shown in the figure, the input is the torque T(t) and the outputs are the linear displacements x(t) and the angular displacement θ(t). The equilibrium position corresponds to x 0 0. Note that there is viscous friction between the rack and the surface it slides on. Also, you may treat the small diameter shaft as massless and rigid. mr Clearly state all assumptions to be used for modeling this system. Draw the freebody diagrams. State your...
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi....
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi. Displacements z1 and 22 are absolute positions of masses mi and m2, respectively, measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film with viscous friction coefficient b separates masses mi and m2. Draw the free body diagram and derive the mathematical model of the vibration system using the diagram. falt) Oil film, friction coefficient b K m2...
i want to get part c,d The figure below is a gear-train mechanical system driven by...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Please answer the questions for Part 1 and Part 2 showing all steps, using the provided...
Please answer the questions for Part 1 and Part 2 showing all
steps, using the provided data values.
Many thanks.
M2 2 C2 2' 2 2 C2 2'2 Spring steel Mi k1 C1 2'2 1 C1 Base y(t) Base movement Figure 2 shows a shear building with base motion. This building is modelled as a 2 DOF dynamic system where the variables of ml-3.95 kg, m2- 0.65 kg, kl-1200 N/m, k2- 68 N/m, cl- 0.40 Ns/m, c2- 0.70Ns/m The base...
Problem 1: The system in Figure 1 comprises two masses connected to one another through a...
Problem 1: The system in Figure 1 comprises two masses connected to one another through a spring. The block slides without friction on the support and has mass mi. The disk has radius a, mass moment of inertia I, and mass m2. The disk rolls without slipping on the support. The springs are unstretched when x(t) = x2(t) = 0. 2k 3k , m Figure 1: System for Problem 1 (a) Derive the differential equations of motion for the system...
1. Given the spring-mass-damper system in the figure below T3 T1 T2 b2 b1 k3 (a) Find the equations of motion for each of the masses 脳. Fi(s) (b) Assume F1 0 and find the transfer function (c) Assume Fs 0 and find the transfer function (d) Write the equations in matrix-vector form: M.ї + Bi + Kx-F where z is a 3 x 1 vector with the displacements r,2, r3 as components, M is the mass matrix, B is...
The system shown below is made up of one mass and two inertia's (M, I1, and I2). Mass M is connected to Inertia I2 by a damper Ci that is pivoted at each end. The system outputs are y and 0, and the input is force F. At the equilibrium position shown all of the springs are unstretched. Therefore for this problem the initial spring forces are zero and may be neglected. Find the governing differential equations of motion in...
Problem 3: The system in Figure 3 consists of a double pendulum where both masses are m and both lengths are L 2 Figure 3: System for Problem 3 (a) Derive the differential equations of motion for the system. The angles a(t) and θ2(t) can be arbitrarily large. (b) Linearize the equations by assuming that a (t) and 02(t) are small. Write the linearized differential equations in matrix form (c) Obtain the natural frequencies and modes of vibration. (d) Plot...
The mechanism shown in figure 1 converts rotary motion to linear motion. Find the analytical equations relating the input angular displacements/velocities/accelerations and the output linear displacements/velocities/accelerations. Then, writing a computer program, simulate the motion of the mechanism with various motor inputs of θ, θ, θ for the following cases: 1- Assume that θ, θ are equal to zero, Plot the linear displacement when θ is changing with 1 degree increments. 2-Assume that θ is zero, θ is a constant that...
the following problem is of a two-mass system. I have 2
questions
1. find the transfer function from input F2 to output x1
2. for the transfer function found, determine the sensitivity to
variation in parameter B12
note: i already found the differential eqns of motion for
t>0
Problem formulation Two masses are connected as shown in Fig. 1. Input forces Fi(t) and F.(t) act on masses m, and mg, respectively. The outputs are positions xi(t) and x2(t). Initial conditions...
3) For the system shown in the figure, the input is the torque T(t) and the outputs are the linear displacements x(t) and the angular displacement θ(t). The equilibrium position corresponds to x 0 0. Note that there is viscous friction between the rack and the surface it slides on. Also, you may treat the small diameter shaft as massless and rigid. mr Clearly state all assumptions to be used for modeling this system. Draw the freebody diagrams. State your...
Figure 4 shows a two-mass translational mechanical system. The applied force falt) acts on mass mi. Displacements z1 and 22 are absolute positions of masses mi and m2, respectively, measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film with viscous friction coefficient b separates masses mi and m2. Draw the free body diagram and derive the mathematical model of the vibration system using the diagram. falt) Oil film, friction coefficient b K m2...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Please answer the questions for Part 1 and Part 2 showing all
steps, using the provided data values.
Many thanks.
M2 2 C2 2' 2 2 C2 2'2 Spring steel Mi k1 C1 2'2 1 C1 Base y(t) Base movement Figure 2 shows a shear building with base motion. This building is modelled as a 2 DOF dynamic system where the variables of ml-3.95 kg, m2- 0.65 kg, kl-1200 N/m, k2- 68 N/m, cl- 0.40 Ns/m, c2- 0.70Ns/m The base...
Problem 1: The system in Figure 1 comprises two masses connected to one another through a spring. The block slides without friction on the support and has mass mi. The disk has radius a, mass moment of inertia I, and mass m2. The disk rolls without slipping on the support. The springs are unstretched when x(t) = x2(t) = 0. 2k 3k , m Figure 1: System for Problem 1 (a) Derive the differential equations of motion for the system...
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