ME or MEng Master of Engineering Control Systems and Dynamics 2

Question 1

For a second-order system to be classified as underdamped, the damping ratio ζ must satisfy:

Accepted Answer

0 < ζ < 1

Answer

ζ > 1

Answer

ζ = 1

Answer

ζ = 0

Question 2

What is the natural frequency ωn of a simple spring-mass system with mass m and spring constant k?

Accepted Answer

√(k/m)

Answer

k/m

Answer

√(m/k)

Answer

m/k

Question 3

Using the 2% criterion, the settling time Ts of a second-order system is approximately:

Accepted Answer

4/(ζωn)

Answer

π/ωd

Answer

1/(2ζωn)

Answer

ωn/ζ

Question 4

By standard definition, rise time is the time for the step response to travel from:

Accepted Answer

10% to 90% of its final value

Answer

0% to 100% of its final value

Answer

5% to 95% of its final value

Answer

0% to 50% of its final value

Question 5

Critical damping in a mass-spring-damper system occurs when:

Accepted Answer

The damping ratio ζ equals 1

Answer

The spring force equals the damping force at all times

Answer

The system oscillates indefinitely

Answer

The natural frequency equals the damping coefficient numerically

Question 6

The impulse response h(t) of a linear system is related to its transfer function H(s) by:

Accepted Answer

h(t) is the inverse Laplace transform of H(s)

Answer

H(s) is the Fourier transform of h(t)

Answer

h(t) is the derivative of the step response divided by H(s)

Answer

H(s) is the convolution of h(t) with the input

Question 7

Convolution in the time domain corresponds to which operation in the Laplace domain?

Accepted Answer

Multiplication of transforms

Answer

Addition of transforms

Answer

Differentiation of transforms

Answer

Integration of transforms