The displacement of a damped harmonic oscillator is given by X(t) =
cos(
Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :
(a)
7s
(b)
27s
(c)
13s
(d)
4s
The displacement of a damped harmonic oscillator is given by X(t) = cos( Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :
(a)
7s
(b)
27s
(c)
13s
(d)
4s
Question ID - 51348 | SaraNextGen Top Answer
The displacement of a damped harmonic oscillator is given by X(t) = cos( Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :
(a)
7s
(b)
27s
(c)
13s
(d)
4s
|
The displacement of a damped harmonic oscillator is given by X(t) = |
|||
|
(a) |
7s |
(b) |
27s |
|
(c) |
13s |
(d) |
4s |
1 Answer
127 votes
Answer Key / Explanation : (a) -
|
Amplitude at (t=0) t= 10 ln 2 |
=
=1
t=t ifA=
=
127 votes
Answer Link
127