In the given figure, spring constant is K, viscous friction

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In the given figure, spring constant is K, viscous friction coefficient is B, mass is M and the system output motions is x(t) corresponding to input force F (t).

Which of the following parameters related to the above system?
1. Time constant = 1
M

2. Damping coefficient = B
2 √KM

3. Natural frequency of oscillation = √ K
M

Select the correct answer using the codes given below :

1. 1, 2 and 3
2. 1 and 2
3. 2 and 3
4. 1 and 3

Correct Option: C

F(t) = M	d²x(t)	+ B	dx(t)	+ Kx(t)
	dt²		dt

The characteristic equation is,
Ms² + Bs + K = 0
or s ² + 2 ω_n s + ω_n ² = 0

Thus statements 2 and 3 are correct.