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Q2. Derive the governing differential equations for the systems shown in the following figures. fv=4 N-s/m K=5 N/mfv =...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 =...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
4. Determine the transfer function G(s) = for the system shown below. F(s) K1 = 4...
4. Determine the transfer function G(s) = for the system shown below. F(s) K1 = 4 N/m + X(t) →xj(t) K = 5 N/m 0000 M = 1 kg 1v2 = 3 N-s/m M2 = 2 kg f(t) HHH
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
Problem 2 (20 points total): 4 Consider the following system for Parts a-c. 2 N-s/m x2(t)...
Problem 2 (20 points total): 4 Consider the following system for Parts a-c. 2 N-s/m x2(t) xz(t) 0000- 6 N/m 2 N-s/m xi(t) 2 N-s/m 6 N/m 4 kg 4 kg 00004 kg f(t) Frictionless Part 2a (8 points): Draw free body diagrams for each mass Part 2b (6 points): Write the equations of motion for each mass as differential equations in the time domain." Part 2c (6 points): Convert the equations of motion for each mass into algebraic equations...
with steps please 04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been d...
with steps please
04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x,(0)-0,x,(0)-0.001 m, 2kE TIITTTUITTU Figure 4
04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural...
Q4. For the systern shown in Figure 4 where m=10 kg, k = 100 kN/m, the governing equations has been derived as (1) Find...
Q4. For the systern shown in Figure 4 where m=10 kg, k = 100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x (0) 0, x, (0) 0.001 m 2k E 2m Figure 4
Q4. For the systern shown in Figure 4 where m=10 kg, k = 100 kN/m, the governing equations has...
θ2(s)/T(s) for the following rotational mechanical system Problem 4: Find the transfer function G(s) TO) N1...
θ2(s)/T(s) for the following rotational mechanical system Problem 4: Find the transfer function G(s) TO) N1 = 4 Di 1 N-m-s/rad N2 121 kg-m2 N3-4 D2-2 N-m-s/rad K 64 N-m/rad- N4 16 D3 32 N-m-s/rad -16 kg-m2 000
please solve step by step Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m...
please solve step by step
Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m and the dise parameters are given as: a. R-25 cm b. T(thickness) 2.5cm c. P (density) 7850 kg/m Conduct the following: 1. Derive the governing equation for the system shown in Fig.2. and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (x(t) using suitable computer software (eg. Matlab,...
T=163 N (k) Suppose m1-5 kg and m2-9 kg. What is the value of the acceleration?...
T=163 N (k) Suppose m1-5 kg and m2-9 kg. What is the value of the acceleration? (I) Suppose that m2 starts from rest at a height of 5 m. Use the kinematic equations to determine how long it takes for m2 to hit the ground 1.889 s Additional Materials Newton's Second Law Appendix 6. -10 points My Notes A bullet is shot into a block of plastic. The bullet penetrates the block 0.5 m. The mass of the bullet is...
5. The figures on the right show a disk with radius, a = 0.20 m, and mass, M = 0.80 kg, resting on a frictionless table. One particle with mass, m1-M/4, with velocity, v- 4 m/s, slides along the stab...
5. The figures on the right show a disk with radius, a = 0.20 m, and mass, M = 0.80 kg, resting on a frictionless table. One particle with mass, m1-M/4, with velocity, v- 4 m/s, slides along the stable, and collides with the disk at the point shown. A second particle with mass, m2, moving with velocity v2-4v collides with the disk at the point shown. The two masses collide with the disk at the same time, and after...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
4. Determine the transfer function G(s) = for the system shown below. F(s) K1 = 4 N/m + X(t) →xj(t) K = 5 N/m 0000 M = 1 kg 1v2 = 3 N-s/m M2 = 2 kg f(t) HHH
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
Problem 2 (20 points total): 4 Consider the following system for Parts a-c. 2 N-s/m x2(t) xz(t) 0000- 6 N/m 2 N-s/m xi(t) 2 N-s/m 6 N/m 4 kg 4 kg 00004 kg f(t) Frictionless Part 2a (8 points): Draw free body diagrams for each mass Part 2b (6 points): Write the equations of motion for each mass as differential equations in the time domain." Part 2c (6 points): Convert the equations of motion for each mass into algebraic equations...
with steps please
04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x,(0)-0,x,(0)-0.001 m, 2kE TIITTTUITTU Figure 4
04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural...
Q4. For the systern shown in Figure 4 where m=10 kg, k = 100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x (0) 0, x, (0) 0.001 m 2k E 2m Figure 4
Q4. For the systern shown in Figure 4 where m=10 kg, k = 100 kN/m, the governing equations has...
θ2(s)/T(s) for the following rotational mechanical system Problem 4: Find the transfer function G(s) TO) N1 = 4 Di 1 N-m-s/rad N2 121 kg-m2 N3-4 D2-2 N-m-s/rad K 64 N-m/rad- N4 16 D3 32 N-m-s/rad -16 kg-m2 000
please solve step by step
Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m and the dise parameters are given as: a. R-25 cm b. T(thickness) 2.5cm c. P (density) 7850 kg/m Conduct the following: 1. Derive the governing equation for the system shown in Fig.2. and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (x(t) using suitable computer software (eg. Matlab,...
T=163 N (k) Suppose m1-5 kg and m2-9 kg. What is the value of the acceleration? (I) Suppose that m2 starts from rest at a height of 5 m. Use the kinematic equations to determine how long it takes for m2 to hit the ground 1.889 s Additional Materials Newton's Second Law Appendix 6. -10 points My Notes A bullet is shot into a block of plastic. The bullet penetrates the block 0.5 m. The mass of the bullet is...
5. The figures on the right show a disk with radius, a = 0.20 m, and mass, M = 0.80 kg, resting on a frictionless table. One particle with mass, m1-M/4, with velocity, v- 4 m/s, slides along the stable, and collides with the disk at the point shown. A second particle with mass, m2, moving with velocity v2-4v collides with the disk at the point shown. The two masses collide with the disk at the same time, and after...
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