19. A weight of 25 N is suspended from a spring that has a stiffiness of 1,000 N/m. The weight vibrates in the vertical direction under a constant damping force. When the weight is initially pulled downward a distance of 10 cm from its static equilibrium position and released, it comes to rest after exactly two complete cycles. Find the magnitude of the damping force.

19. A weight of 25 N is suspended from a spring that has a stiffiness of 1,000 N/m. The weight vibrates in the vertical direction under a constant damping force. When the weight is initially pulled downward a distance of 10 cm from its static equilibrium position and released, it comes to rest after exactly two complete cycles. Find the magnitude of the damping force.

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.

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19. A weight of 25 N is suspended from a spring that has a stiffness of
1,000 N/m. The weight vibrates in the vertical direction under a
constant damping force. When the weight is initially pulled
downward a distance of 10 cm from its static equilibrium position and
released, it comes to rest after exactly two complete cycles. Find the
magnitude of the damping force.

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