A 2.3-kg object is suspended using two linear springs (k1 = 45 N/m and k2 = 21 N/m), as shownbelow. Due to aerodynamic effects and other losses, you observe that the amplitude of the vibrationis halved after 5 complete cycles. If the initial mass was displaced 270 millimetres below theequilibrium position (i.e. negative initial displacement) and then released from rest, determine theposition of the mass after 11 seconds. Give your answer in millimetres rounded to one decimal place.Enter positive values if the mass is above the equilibrium position and negative values if it is belowthe equilibrium position.kk

Answered: Image /qna-images/answer/84b5fe62-6622-4f1c-8d92-7725f177a278.jpg

Answered: A 2.3-kg object is suspended using two…

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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3. The 7.5 kg mass shown is vibrating freely with the following spring attached to it. If the required period of vibration is 0.35s, determine (a) the value of the spring stiffness constant R and (b) the vibration response with initial displacement and velocity of 5cm and 24 cm/s, respectively
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A sensitive electronic system, of mass 25 kg, is supported by a spring-damper isolator that rests on the floor of a manufacturing plant. The operation of nearby rotating equipment causes the floor to vibrate with an amplitude of 8 mm at a frequency of 35 Hz. The electronic system can only operate effectively if the amplitude of its acceleration is less than 40 m/s2. It is known that the damping ratio of the isolator is 0.1. i. Determine the maximum stiffness of the isolator needed for the transmitted acceleration level to be acceptable and hence facilitate effective operation of the electronic system. Using the calculated stiffness value, also determine the largest deformation of the spring in millimetres when the system is in motion. ii. If the damping ratio is allowed to increase by only increasing the equivalent damping coefficient (c) of the isolator, discuss the effect this change would have on the response of the electronic system when operating in the same environment. In your…
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A large industrial cooling system of mass 160 kg is supported by six springsarranged in parallel. Two of the springs have equal stiffness of 30 kN/m, twohave stiffness of 15 kN/m, and the remaining two have stiffness of 10 kN/m.Determine:i) the total stiffness of the spring system;ii) the natural frequency of vibration of the motor;iii) the periodic time for the vibration.
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