A mechanical system has been presented as a mass, spring and damper system subjected to an external force of F sin(@t) as shown in Figure Q2(a).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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a) A mechanical system has been presented as a mass, spring and
damper system subjected to an external force of F sin(ot) as shown
in Figure Q2(a).
k
F sinot
Figure Q2 (a)
Diagram not to scale
The system has a mass of 5 kg and a spring stiffness of is 10 kN/m. The
amplitude ratio between two successive cycles is 1.71. The periodic force
is 100 sin30t. Find the following:
(i)
The natural frequency
(ii)
The damping factor
(iii)
The amplitude of the forced vibration
(iv)
The maximum amplitude of the vibratory system and the frequency
Transcribed Image Text:a) A mechanical system has been presented as a mass, spring and damper system subjected to an external force of F sin(ot) as shown in Figure Q2(a). k F sinot Figure Q2 (a) Diagram not to scale The system has a mass of 5 kg and a spring stiffness of is 10 kN/m. The amplitude ratio between two successive cycles is 1.71. The periodic force is 100 sin30t. Find the following: (i) The natural frequency (ii) The damping factor (iii) The amplitude of the forced vibration (iv) The maximum amplitude of the vibratory system and the frequency
Question 2 continued.
b) Figure Q2b shows a plane mechanism. Crank OA rotates at angular velocity of 2
radian/s and angular acceleration of 2 radian/s?. Both vectors in the clockwise
direction.
For the given configuration:
I.
Construct the velocity diagram. Vectors must be labelled and directions shown.
I.
Construct the acceleration diagram. Vectors must be labelled and directions
shown.
II.
Find the angular velocity and acceleration of link 3 (magnitude and direction).
OA =300mm
AB=1200mm
2
60°
60
A
Figure Q2b
3.
Transcribed Image Text:Question 2 continued. b) Figure Q2b shows a plane mechanism. Crank OA rotates at angular velocity of 2 radian/s and angular acceleration of 2 radian/s?. Both vectors in the clockwise direction. For the given configuration: I. Construct the velocity diagram. Vectors must be labelled and directions shown. I. Construct the acceleration diagram. Vectors must be labelled and directions shown. II. Find the angular velocity and acceleration of link 3 (magnitude and direction). OA =300mm AB=1200mm 2 60° 60 A Figure Q2b 3.
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