4. A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a viscous damping constant of 1 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 10“ m. Assume that the grinding machine and the wheel are a rigid body of weight 5000 N. Grinding wheel Grinding- machine M) - Y sin ot Y sin 200 mt m Isolator Floor A. Y = 69.5294 (10) m C. Y = 269.5294 (10) m D. Y = 369.5294 (10) m B. Y = 169.5294 (10-6) m

4. A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a viscous damping constant of 1 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 10“ m. Assume that the grinding machine and the wheel are a rigid body of weight 5000 N. Grinding wheel Grinding- machine M) - Y sin ot Y sin 200 mt m Isolator Floor A. Y = 69.5294 (10) m C. Y = 269.5294 (10) m D. Y = 369.5294 (10) m B. Y = 169.5294 (10-6) m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

4. A precision grinding machine is supported on an isolator that has a stiffness of 1 MN/m and a viscous
damping constant of 1 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic
disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the
maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the
grinding wheel is to be restricted to 106 m. Assume that the grinding machine and the wheel are a rigid
body of weight 5000 N.
Grinding
wheel
Grinding
machine
MI) = Y sin wl
= Y sin 200 Tt m
Isolator
777
Floor
A. Y = 69.5294 (106) m
B. Y = 169.5294 (10-6) m
C.Y = 269.5294 (10) m
D. Y = 369.5294 (106) m

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