6) The mass m is placed on a spring with a stiffness of 2kN / m. A damper is placed between this mass and the roof, which produces a force of 0.5 N at a speed of 50 mm / s. After drawing a free body diagram using Newton's second law: A) Write the equation of motion of the system. B) If the normal frequency of the system is 6.37Hz, what is the value of m? C) Calculate the damping coefficient of this system. D) Find the ratio of consecutive domains. E) Find the displacement and mass velocity within 1.25 seconds of releasing an initial 20mm displacement. F) What is the minimum damping so that the body does not oscillate after release?
6) The mass m is placed on a spring with a stiffness of 2kN / m. A damper is placed between this mass and the roof, which produces a force of 0.5 N at a speed of 50 mm / s. After drawing a free body diagram using Newton's second law: A) Write the equation of motion of the system. B) If the normal frequency of the system is 6.37Hz, what is the value of m? C) Calculate the damping coefficient of this system. D) Find the ratio of consecutive domains. E) Find the displacement and mass velocity within 1.25 seconds of releasing an initial 20mm displacement. F) What is the minimum damping so that the body does not oscillate after release?
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6) just solve A - B
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Transcribed Image Text:6) The mass m is placed on a spring with a stiffness of 2kN / m. A damper is
placed between this mass and the roof, which produces a force of 0.5 N at a speed
of 50 mm / s.
After drawing a free body diagram using Newton's second law:
A) Write the equation of motion of the system.
B) If the normal frequency of the system is 6.37HZ, what is the value of m?
C) Calculate the damping coefficient of this system.
D) Find the ratio of consecutive domains.
E) Find the displacement and mass velocity within 1.25 seconds of releasing
an initial 20mm displacement.
F) What is the minimum damping so that the body does not oscillate after
release?
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