Introduction to Dynamics and Control: Master the Fundamentals of Mechanical Systems

Question 1

A particle of mass 'm' moves in a circular path of radius 'r' with a constant speed 'v'. What is the magnitude of the force acting on the particle?

Accepted Answer

mv^2/r

Answer

mv/r

Answer

mr^2/v

Answer

mv^2

Question 2

The kinematic equation that relates displacement, velocity, and time is:

Accepted Answer

v = u + at

Answer

x = v * t

Answer

a = v/t

Answer

x = (u + v)/2 * t

Question 3

Which system modeling technique represents the system behavior as a set of interconnected blocks?

Accepted Answer

Bond graphs

Answer

Transfer functions

Answer

State-space models

Answer

Lagrangian mechanics

Question 4

The stability of a control system can be determined by analyzing the:

Accepted Answer

Any of the above

Answer

Root locus plot

Answer

Nyquist plot

Answer

Bode plot

Question 5

Which of the following is the correct mathematical expression for Newton's second law of motion?

Accepted Answer

F = ma

Answer

a = mv

Answer

v = at

Answer

F = v/t

Question 6

An object moving with constant velocity possesses:

Accepted Answer

Zero acceleration

Answer

Non-zero acceleration

Answer

Constant acceleration

Answer

Variable acceleration

Question 7

The Laplace transform of the unit step function is expressed as:

Accepted Answer

1/s

Answer

s

Answer

s^2

Answer

1/(s^2)

Question 8

In an underdamped system, the damping ratio is:

Accepted Answer

Less than 1

Answer

Equal to 1

Answer

Greater than 1

Answer

Equal to zero

Question 9

A system's transfer function mathematically describes its:

Accepted Answer

Input-output relationship

Answer

State-space model

Answer

Frequency response

Answer

Time response

Question 10

A particle moves along a straight line with a constant velocity. What is its acceleration?

Accepted Answer

Zero

Answer

Equal to its velocity

Answer

Opposite to its velocity

Answer

Cannot be determined without additional information

Question 11

A rigid body undergoes motion about a fixed axis. Which of the following best describes its motion?

Accepted Answer

Rotational

Answer

Translational

Answer

Planar

Answer

Curvilinear

Question 12

In a control system designed to maintain a constant temperature in a room, which of the following is the feedback element?

Accepted Answer

Temperature sensor

Answer

Heater

Answer

Controller

Answer

Room

Question 13

Which of the following is a characteristic of a stable control system?

Accepted Answer

Error converges to zero

Answer

Error oscillates indefinitely

Answer

Error increases exponentially

Answer

Error remains constant

Question 14

A system has a transfer function of G(s) = 1/(s+2). What is its steady-state response to a unit step input?

Accepted Answer

1

Answer

0.5

Answer

2

Answer

Cannot be determined without additional information

Question 15

A control system has a proportional controller with a gain of 5. What is the output of the controller for an input error of 2?

Accepted Answer

5

Answer

1

Answer

2

Answer

10

Question 16

In a projectile motion, the acceleration due to gravity acts:

Accepted Answer

Vertically downward

Answer

Obliquely

Answer

Vertically upward

Answer

Horizontally

Question 17

The SI unit of force is:

Accepted Answer

Newton (N)

Answer

Joule (J)

Answer

Meter (m)

Answer

Second (s)

Question 18

A system is said to be in equilibrium if:

Accepted Answer

The net force and net moment acting on the system are both zero

Answer

The system is at rest

Answer

The system is moving with constant velocity

Answer

The system is accelerating

Question 19

The moment of inertia of a rigid body depends on:

Accepted Answer

Mass and distribution of mass

Answer

Mass only

Answer

Material only

Answer

Shape only

Question 20

The Laplace transform is a mathematical tool primarily used for:

Accepted Answer

Solving linear differential equations

Answer

Calculating derivatives

Answer

Evaluating integrals

Answer

Finding eigenvalues

Question 21

A feedback control system is designed to:

Accepted Answer

Regulate the output to achieve a desired response

Answer

Eliminate external disturbances

Answer

Reduce the system's sensitivity

Answer

Increase the system's stability

Question 22

The transfer function of a system is a mathematical representation of its:

Accepted Answer

Input-output relationship in the frequency domain

Answer

Stability characteristics

Answer

Nonlinear behavior

Answer

Time-domain response