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A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 × 25 mm. Assume the mass of the cantilever to be negligible and Esteel = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper is
  • a)
    1250 Ns/m
  • b)
    625 Ns/m
  • c)
    312.50 Ns/m
  • d)
    156.25 Ns/m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A mass M, of 20 kg is attached to the free end of a steel cantilever b...
Given M = 20kg,I = 1000mm = 1m, A = 25 × 25
mm2
ESteel = 200GPa = 200 × 109Pa
Mass moment of inertia of a square section is given by,
Deflection of a cantilever, Loaded with a point load placed at the free end is
Therefore, critical damping constant C0 = 2Mωn = 2 × 20 × 31.32
= 1252.8Ns/m ≃ 1250Ns/m
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A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 × 25 mm. Assume the mass of the cantilever to be negligible and Esteel = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper isa)1250 Ns/mb)625 Ns/mc)312.50 Ns/md)156.25 Ns/mCorrect answer is option 'A'. Can you explain this answer?
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A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 × 25 mm. Assume the mass of the cantilever to be negligible and Esteel = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper isa)1250 Ns/mb)625 Ns/mc)312.50 Ns/md)156.25 Ns/mCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 × 25 mm. Assume the mass of the cantilever to be negligible and Esteel = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper isa)1250 Ns/mb)625 Ns/mc)312.50 Ns/md)156.25 Ns/mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 × 25 mm. Assume the mass of the cantilever to be negligible and Esteel = 200GPa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper isa)1250 Ns/mb)625 Ns/mc)312.50 Ns/md)156.25 Ns/mCorrect answer is option 'A'. Can you explain this answer?.
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