Q3.: A vibrating system consists of a mass of 5 kg supported by an elastic element and a damping elemer from above and set vibrating. It is observed that the maximum displacement from the equilibrium positio reduces to 5% of its initial value after 2 cycles. It takes 0.5 seconds to do them. Calculate the following :- a) The damping ratio č. b) The natural frequency w. c) The damped frequency w4. d) The spring stiffness k. e) The actual damping coefficient c. (20 Marks)

Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
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03.: A vibrating system consists of a mass of 5 kg supported by an elastic element and a damping element
from above and set vibrating. It is observed that the maximum displacement from the equilibrium position
reduces to 5% of its initial value after 2 cycles. It takes 0.5 seconds to do them. Calculate the following :-
a) The damping ratio č.
b) The natural frequency o.
c) The damped frequency w4.
d) The spring stiffness k.
e) The actual damping coefficient c.
(20 Marks)
Transcribed Image Text:03.: A vibrating system consists of a mass of 5 kg supported by an elastic element and a damping element from above and set vibrating. It is observed that the maximum displacement from the equilibrium position reduces to 5% of its initial value after 2 cycles. It takes 0.5 seconds to do them. Calculate the following :- a) The damping ratio č. b) The natural frequency o. c) The damped frequency w4. d) The spring stiffness k. e) The actual damping coefficient c. (20 Marks)
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