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Q2 A rotational mechanical system is shown in Figure 2.1. T(t) is the external torque and...
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft...
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft 1 and z(t) is the rotation of shaft 2. J.Jz and Jz are the inertias of shafts 1,2 and 3 respectively, N,,N,N, and N, are the number of teeths of the gears,, D1, D, and D3 are the coefficient of viscous damping associated with shafts 1, 2 and 3 respectively, K is the spring constant of the torsional spring attached to shaft 3. Write...
4. Given the mechanical system shown in the following diagram: 6,,02 J, K, No slip-_ F(t) Massles...
4. Given the mechanical system shown in the following diagram: 6,,02 J, K, No slip-_ F(t) Massless rack a. Draw the FBD for each inertia and for the rack: Develop the basic equations of motion for each of the three mass elements (do it for the rack, even though its inertia is zero). Do not solve for spring and damper b. forces yet: leave answers in terms of jki, ma.,jai,fo, etc. What is the "stretch" in the spring K2 and...
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...
s) Given the following rotational mechanical system, hot relates the input variable T (applied torque) to...
s) Given the following rotational mechanical system, hot relates the input variable T (applied torque) to the output a) Write the differential equation that re variable angular displacement) b) Convert the differential equatio c) Write the Transfer function of the system (I. w ent the differential equation to Laplace domain assuming initial conditions Zero Consider the following values for the parameters: J - 2 kg-m? (moment of inertial of the mass) D = 0.5 N-m-s/rad (coefficient of friction) K-1 N-m/rad...
Q3. For the rotational system subjected to an applied torque Mocosout shown in Figure 3, the...
Q3. For the rotational system subjected to an applied torque Mocosout shown in Figure 3, the rotary inertia of the rigid bar about the hinge O can be calculated by Jo =7ml /48. Given k = 5,000N/m, 1 - 1m, m = 20 kg, Mo = 100 Nm, c = 130 rpm. Assume rotation angle is very small, (i) Draw the free body diagram; (ii) Use Newton's 2nd law to derive the equation of motion of the system; and (iii)...
Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer...
Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer function G(s)-0s(s)/T(s). The gears have inertia and bearing friction as shown T(0) Ji. D N2 N3 2. D2 14. D
PARTS: a-c Problem 1 (40 points) The rotational system shown in this diagram has a single...
PARTS: a-c
Problem 1 (40 points) The rotational system shown in this diagram has a single torque input, T(t), and a single angular displacement output, (t). Also shown are the shaft polar moment of inertia, J, torsional spring constant, k, and rotational viscous damping coefficient, c. From the law of rotation (sum of the moments equal to polar moment of inertia times angular acceleration), we obtain: jä(t) + c)(t) + ko(t) = T(t). This ordinary differential equation is second-order, linear...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V,...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Using the force-voltage analogy shown in table 1, obtain a mechanical analogu electrical system shown above...
Using the force-voltage analogy shown in table 1, obtain a mechanical analogu electrical system shown above (4 pts) Table 1. Force-Voltage Analogy Force, p (torque T Mass, m (moment of inertia J) Viscous-friction coefficient, b Spring constant, k Displacement, x (angular displacement 6) Voltage, Inductance, L Resistance, R Reciprocal of capacitance, /C Charge, Velocity (angular velocity b) Current, i
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft 1 and z(t) is the rotation of shaft 2. J.Jz and Jz are the inertias of shafts 1,2 and 3 respectively, N,,N,N, and N, are the number of teeths of the gears,, D1, D, and D3 are the coefficient of viscous damping associated with shafts 1, 2 and 3 respectively, K is the spring constant of the torsional spring attached to shaft 3. Write...
4. Given the mechanical system shown in the following diagram: 6,,02 J, K, No slip-_ F(t) Massless rack a. Draw the FBD for each inertia and for the rack: Develop the basic equations of motion for each of the three mass elements (do it for the rack, even though its inertia is zero). Do not solve for spring and damper b. forces yet: leave answers in terms of jki, ma.,jai,fo, etc. What is the "stretch" in the spring K2 and...
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...
s) Given the following rotational mechanical system, hot relates the input variable T (applied torque) to the output a) Write the differential equation that re variable angular displacement) b) Convert the differential equatio c) Write the Transfer function of the system (I. w ent the differential equation to Laplace domain assuming initial conditions Zero Consider the following values for the parameters: J - 2 kg-m? (moment of inertial of the mass) D = 0.5 N-m-s/rad (coefficient of friction) K-1 N-m/rad...
Q3. For the rotational system subjected to an applied torque Mocosout shown in Figure 3, the rotary inertia of the rigid bar about the hinge O can be calculated by Jo =7ml /48. Given k = 5,000N/m, 1 - 1m, m = 20 kg, Mo = 100 Nm, c = 130 rpm. Assume rotation angle is very small, (i) Draw the free body diagram; (ii) Use Newton's 2nd law to derive the equation of motion of the system; and (iii)...
Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer function G(s)-0s(s)/T(s). The gears have inertia and bearing friction as shown T(0) Ji. D N2 N3 2. D2 14. D
PARTS: a-c
Problem 1 (40 points) The rotational system shown in this diagram has a single torque input, T(t), and a single angular displacement output, (t). Also shown are the shaft polar moment of inertia, J, torsional spring constant, k, and rotational viscous damping coefficient, c. From the law of rotation (sum of the moments equal to polar moment of inertia times angular acceleration), we obtain: jä(t) + c)(t) + ko(t) = T(t). This ordinary differential equation is second-order, linear...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
Using the force-voltage analogy shown in table 1, obtain a mechanical analogu electrical system shown above (4 pts) Table 1. Force-Voltage Analogy Force, p (torque T Mass, m (moment of inertia J) Viscous-friction coefficient, b Spring constant, k Displacement, x (angular displacement 6) Voltage, Inductance, L Resistance, R Reciprocal of capacitance, /C Charge, Velocity (angular velocity b) Current, i
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