Homework Answers
1. D (with n degree of freedom system)
2. B
3. D
4. B
5. D
6. B
7. D
As all questions are fact based on vibrational system so need not any explanation but still you need some specific then comment.
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subject of mechanical vibrations
Q2) Mark a circle on the correct answer: 1) Lagrange equation can...
subject of mechanical vibrations false true false true true (3) Mark a circle on false or...
subject of mechanical vibrations
false true false true true (3) Mark a circle on false or true for the correct answer: A) The acceleration of simple spring- mass system for free undamped vibration has 90° phase difference with the displacement B) The system which is composed of spring- damper-mass, vibrates by its natural frequency C) Simple energy method can be applied only for conservative system. D) Lagrange equation can be applied for any dynamical system. E) Time required to decay...
Please answer all Questions if you can let someone who can A 200 kg machine is...
Please answer all Questions if you can let someone who can
A 200 kg machine is mounted on springs whose stiffness is 5x105 N/m. The machine has an exciting force of 1000sin(53t). (a) What is the steady-state amplitude if no vibration absorber is added? (b) Design a vibration absorber of mass 40 kg such that the steady-state amplitude of the primary system is zero at 53 rad/s. (c) What are the natural frequencies of the two degree of freedom system...
Can I get help with this 2. (20 points) The damped single degree-of-freedom mass-spring system shown...
Can
I get help with this
2. (20 points) The damped single degree-of-freedom mass-spring system shown below has a mass m- 20 kg and a spring stiffness coefficient k 2400 N/m. a) Determine the damping coefficient of the system, if it is given that the mass exhibits a response with an amplitude of 0.02 m when the support is harmonically excited at the natural frequency of the system with an amplitude Yo-0.007 m b) Determine the amplitude of the dynamic...
Figure Q4 shows a complex multi-degree of freedom spring-mass system. a) Develop the equation of motion...
Figure Q4 shows a complex multi-degree of freedom spring-mass system. a) Develop the equation of motion of the system. (6 Marks) b) If m - m - m - m and k, = kx - kyky+ ks = k, Determine the natural frequencies and mode shape of the system. (16 Marks) c) Estimate the largest strain that can occur to any of the spring in the system. State which spring in your answer. Marks) (8 ka ka ks ma m2...
Single Degree of Freedom -Free Damped Vibration of Machines and Vibrations problem shows a lever ...
Single Degree of Freedom -Free Damped Vibration of Machines and Vibrations problem shows a lever with spring, mass and damper system. The lever has a moment p9 shows a lever with Agure so kgm2 pivoted at point O with a pulley of mass 4 kg with a radius r-0.5 m Vibration and and load mp4 kg. The load stioping between the puiley and cable supporting the load m. The stiffiess coefficient sippie spring isk=2x105 N/m. Calculate the following when the...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
1.- Starting from the differential equation for a 1-degree of freedom system with mass M, damping...
1.- Starting from the differential equation for a 1-degree of freedom system with mass M, damping c and spring stiffness k: a.- Show that the particular solution for the equation with an applied force fo cos(ot), i.e., Mä+ci+kx=f, cos(or) can be expressed as x )= A cos(ot) + A, sin(or) and find the values of A, and A, that solve the differential equation in terms of M, c, k and fo. 5 points. b. Use the result from part a...
6 720 SECTION B- Attempt any TWO Questions from this Section. 4 An air compressor experiences exc...
6 720 SECTION B- Attempt any TWO Questions from this Section. 4 An air compressor experiences excessive vibrations when running at 1100 rpm. It is fitted with a tuned dynamic absorber in order to reduce these vibrations. The mass of the compressor, me, is 80 kg and the total stiffness of its supports, kc, is 1075 kN/m. The amplitude of the out of balance force, P, is 30 N The compressor with the absorber in place is shown in Figure...
M1 m2 Figure 1: 2dof 1. Consider the system above. Derive the equation of motion and calculate th...
m1 m2 Figure 1: 2dof 1. Consider the system above. Derive the equation of motion and calculate the mass and stiffness matrices Note that setting k30 in your solution should result in the stiffness matrix given by Eq. (4.9). a. Calculate the characteristic equation from problem 4.1 for the case m1-9 kg m2-1 kg ki-24 N/m 2 3 N/m k 3 N/m and solve for the system's natural frequencies. b. Calculate the eigenvectors u1 and u2. c. Calculate 띠(t) and...
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k....
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k. Friction and any other dissipative terms are negligible. k Draw the free body diagrams for the two bodies. a) | y1 |F b) Write the equation of motion in matrix form, expressing the content of each matrix/vector m1 c) Calculate the natural frequencies of the system, knowing that m1 1 kg, m2 2 kg and k = 1000...
subject of mechanical vibrations
false true false true true (3) Mark a circle on false or true for the correct answer: A) The acceleration of simple spring- mass system for free undamped vibration has 90° phase difference with the displacement B) The system which is composed of spring- damper-mass, vibrates by its natural frequency C) Simple energy method can be applied only for conservative system. D) Lagrange equation can be applied for any dynamical system. E) Time required to decay...
Please answer all Questions if you can let someone who can
A 200 kg machine is mounted on springs whose stiffness is 5x105 N/m. The machine has an exciting force of 1000sin(53t). (a) What is the steady-state amplitude if no vibration absorber is added? (b) Design a vibration absorber of mass 40 kg such that the steady-state amplitude of the primary system is zero at 53 rad/s. (c) What are the natural frequencies of the two degree of freedom system...
Can
I get help with this
2. (20 points) The damped single degree-of-freedom mass-spring system shown below has a mass m- 20 kg and a spring stiffness coefficient k 2400 N/m. a) Determine the damping coefficient of the system, if it is given that the mass exhibits a response with an amplitude of 0.02 m when the support is harmonically excited at the natural frequency of the system with an amplitude Yo-0.007 m b) Determine the amplitude of the dynamic...
Figure Q4 shows a complex multi-degree of freedom spring-mass system. a) Develop the equation of motion of the system. (6 Marks) b) If m - m - m - m and k, = kx - kyky+ ks = k, Determine the natural frequencies and mode shape of the system. (16 Marks) c) Estimate the largest strain that can occur to any of the spring in the system. State which spring in your answer. Marks) (8 ka ka ks ma m2...
Single Degree of Freedom -Free Damped Vibration of Machines and Vibrations problem shows a lever with spring, mass and damper system. The lever has a moment p9 shows a lever with Agure so kgm2 pivoted at point O with a pulley of mass 4 kg with a radius r-0.5 m Vibration and and load mp4 kg. The load stioping between the puiley and cable supporting the load m. The stiffiess coefficient sippie spring isk=2x105 N/m. Calculate the following when the...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
1.- Starting from the differential equation for a 1-degree of freedom system with mass M, damping c and spring stiffness k: a.- Show that the particular solution for the equation with an applied force fo cos(ot), i.e., Mä+ci+kx=f, cos(or) can be expressed as x )= A cos(ot) + A, sin(or) and find the values of A, and A, that solve the differential equation in terms of M, c, k and fo. 5 points. b. Use the result from part a...
6 720 SECTION B- Attempt any TWO Questions from this Section. 4 An air compressor experiences excessive vibrations when running at 1100 rpm. It is fitted with a tuned dynamic absorber in order to reduce these vibrations. The mass of the compressor, me, is 80 kg and the total stiffness of its supports, kc, is 1075 kN/m. The amplitude of the out of balance force, P, is 30 N The compressor with the absorber in place is shown in Figure...
m1 m2 Figure 1: 2dof 1. Consider the system above. Derive the equation of motion and calculate the mass and stiffness matrices Note that setting k30 in your solution should result in the stiffness matrix given by Eq. (4.9). a. Calculate the characteristic equation from problem 4.1 for the case m1-9 kg m2-1 kg ki-24 N/m 2 3 N/m k 3 N/m and solve for the system's natural frequencies. b. Calculate the eigenvectors u1 and u2. c. Calculate 띠(t) and...
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k. Friction and any other dissipative terms are negligible. k Draw the free body diagrams for the two bodies. a) | y1 |F b) Write the equation of motion in matrix form, expressing the content of each matrix/vector m1 c) Calculate the natural frequencies of the system, knowing that m1 1 kg, m2 2 kg and k = 1000...
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