QUESTION 3 A spring damping mass system shows in Figure Q3 is a typical example of vibratory system. In order to investigate the dynamics characteristic of the system, determine i. Equation of the motion of the system
(2 marks)
(PO( 2)/(C)O(2)/(C)3)
(2 marks) ii. Natural frequency of the system
(\omega _(n))
(2 marks)
(PO 2 / CO(2)/(C)3 )
iii. Damping ratio (
\xi
)
(2 marks )
(PO(2)/(C)O(2)/(C)3)
iv. Critical damping coefficient
(C_(cr))
(2 marks)
(PO 2 / CO 2 / C3)
v. Differences between undamped
(\omega _(n))
and damped
(\omega _(d))
radian frequency (2 marks)
(PO(2)/(C)O(2)/(C)3)
Figure Q3
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