Q1:

Consider the following diagram:

For the multiple gear system shown above, which one of the following gives the equivalent inertia referred to shaft 1?

Q2:

Find the SGF for block diagram shown below:

Q3:

The transfer function of the system described by $\frac{d^{2}y}{d{t}^2}+\frac{dy}{dt}=\frac{du}{dt}+2u$ with u as input and y as output is

Q4:

A transfer function has its zero in the right half of the s-plane. The function

Q5:

Which one of the four signal flow graphs shown in (a), (b), (c) and (d) represents the block diagram shown in the below figure

Q6:

The overall gain $\frac{C\left(s\right)}{R\left(s\right)}$ of the block diagram shown below is

Q7:

Consider the following statements with regards to signal flow graph:

1. The number of loops are 3.

2. The number of loops are 2.

3. The number of forward paths are 3.

4. $\frac{C}{R}$ ratio is $\frac{40}{81}$

5. $\frac{C}{R}$ ratio is $\frac{28}{81}$

Which of these statements are correct?

Q8:

The open loop transfer function of a unit feedback system is $G(s)H(s)=\frac{1}{{(s+1)}^3}$. The Gain margin of the system is _____.

Q9:

Find out time constants of a bode plot shown below

Q10:

Consider the characteristic equation of a system s² + 6s² + 7s + K = 0. The range of ‘K’ for the stability of a system

Q11:

Introduction of integral action in the forward path of a unity feedback system will result in

Q12:

Characteristic equation is s⁴ + 2s² + 1 = 0. The no. of RHP, $j\omega P$ and LHP are respectively.

Q13:

The transfer function of a N/w is $G(s)=\frac{1+0.1s}{1+0.5s}$, it represents a

Q14:

Name the ideal controller used to improve steady-state response

Q15:

The relationship between Laplace transform and frequency response is

Q16:

The transfer function of a system is given as

$\frac{100}{s^2+20s+100}$

The system is

Q17:

A critically damped, continuous time, second order system, when sampled, will have in (z domain).

Q18:

For a second order system with the closed loop transfer function $T(s)=\frac{9}{s^2+4s+9}$ the setting time for 2-percent band, in seconds, is

Q19:

Consider the following statements with respect to Routh-Hurwitz criterion:

1. It can be used to determine relative stability.

2. It is valid only for real coefficients of the characteristic equation.

3. It is applicable only for non-linear systems.

4. It does not provide the exact location of closed-loop poles in left or right-half of s-plane.

Which of the above statements are correct?