A young child is suspended in a baby bouncer as shown in Figure Q2, with k = 555 N/m and c = 6 Ns/m, and it is observed that the equilibrium is established when the flexible chords are stretched down by 224 mm. k,c Figure Q2 The parents pull the child down by 185 mm from the equilibrium position and release her. (a) Determine the mass of the child. (b) Determine the circular frequency of the undamped vibration. (c) Calculate the damping ratio. (d) What is the amplitude of the vertical displacement of the child from the equilibrium position after 5 oscillations? (e) Calculate the amount of energy stored in the chords when the child is back in the equilibrium position.

A young child is suspended in a baby bouncer as shown in Figure Q2, with k = 555 N/m and c = 6 Ns/m, and it is observed that the equilibrium is established when the flexible chords are stretched down by 224 mm. k,c Figure Q2 The parents pull the child down by 185 mm from the equilibrium position and release her. (a) Determine the mass of the child. (b) Determine the circular frequency of the undamped vibration. (c) Calculate the damping ratio. (d) What is the amplitude of the vertical displacement of the child from the equilibrium position after 5 oscillations? (e) Calculate the amount of energy stored in the chords when the child is back in the equilibrium position.

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 undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

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Q2. A young child is suspended in a baby bouncer as shown in Figure Q2,
with k = 555 N/m and c = 6 Ns/m, and it is observed that the equilibrium
is established when the flexible chords are stretched down by 224 mm.
k,c
Figure Q2
The parents pull the child down by 185 mm from the equilibrium position
and release her.
(a)
Determine the mass of the child.
(b)
Determine the circular frequency of the undamped vibration.
(c)
Calculate the damping ratio.
(d)
What is the amplitude of the vertical displacement of the child
from the equilibrium position after 5 oscillations?
(e)
Calculate the amount of energy stored in the chords when the
child is back in the equilibrium position.

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