# Conceptual and Mathematical Basics

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A question pack on dynamics in mechanical engineering.

Conceptual and Mathematical Basics Q1

Acceleration is the first derivative of which of the following?

A

Time

B

Distance

C

Velocity

D

None of the above

Conceptual and Mathematical Basics Q2

Cylindrical coordinates comprise which of the following vectors?

A

Position

B

Acceleration

C

Velocity

D

All of the above

Conceptual and Mathematical Basics Q3

Distance is the integral of which of the following?

A

Time

B

Velocity

C

Acceleration

D

None of the above

Conceptual and Mathematical Basics Q4

The absolute position of two particles is measured with respect to the origin of which of the following frames of motion?

A

Fixed frame

B

Moving frame

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q5

Velocity is the integral of which of the following?

A

Time

B

Distance

C

Acceleration

D

None of the above

Conceptual and Mathematical Basics Q6

Which of the following components are used to define the position of a particle in one‑dimension using polar coordinates?

A

B

Traverse coordinates

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q8

Velocity is the first derivative of which of the following?

A

Time

B

Distance

C

Acceleration

D

None of the above

Conceptual and Mathematical Basics Q7

Equations of motion in cylindrical coordinates involve how many components?

A

1

B

2

C

3

D

4

Conceptual and Mathematical Basics Q10

Newton’s “Second” law is also known as which of the following?

A

Law of inertia

B

Law of force

C

Law of action‑reaction

D

Law of gravitational attraction

Conceptual and Mathematical Basics Q9

Newton’s “Third” law is also known as which of the following?

A

Law of inertia

B

Law of force

C

Law of action‑reaction

D

Law of gravitational attraction

Conceptual and Mathematical Basics Q11

Which of the following best describes what Newton’s 3rd law states?

A

Newton’s 3rd law states that each action has a reaction equal in magnitude.

B

Newton’s 3rd law states that each action has a reaction opposite in direction.

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q12

Newton’s “First” law is also known as which of the following?

A

Law of inertia

B

Law of force

C

Law of action‑reaction

D

Law of gravitational attraction

Conceptual and Mathematical Basics Q17

Impulses caused at the connections of system of rigid particles are ______________.

A

Internal

B

External

C

Both internal and external

D

Neither internal nor external

Conceptual and Mathematical Basics Q13

Moment of Inertia (I) generally involves ______________ integral.

A

Single

B

Double

C

Triple

D

Conceptual and Mathematical Basics Q14

Radius of gyration is the square root of ______________.

A

Moment of Inertia (I) divided by mass (m).

B

Moment of Inertia (I) divided by force (N).

C

Moment of Inertia (I) divided by displacement.

D

None of the above

Conceptual and Mathematical Basics Q16

In solids of revolution which of the following is true?

A

x‑y plane rotates about x axis.

B

x‑y plane rotates about z axis.

C

y‑z plane rotates about z axis.

D

y‑z plane rotates about y axis.

Conceptual and Mathematical Basics Q19

In US customary units, what is the standard unit Moment of Inertia (I)?

A

(Kg) (m$^2$)

B

(Slug) (ft$^2$)

C

(N) (m$^2$)

D

(lb) (ft$^2$)

Conceptual and Mathematical Basics Q18

Kinetic energy of a two‑dimensional rigid body is zero under which circumstance?

A

Body rotating about a pin support

B

Wheel rotating without slipping

C

Force acts perpendicular in direction of displacement

D

All of the above

Conceptual and Mathematical Basics Q20

Moment of Inertia (I) is equivalent to which of the following in linear motion?

A

Acceleration

B

Momentum

C

Impulse

D

Mass

Conceptual and Mathematical Basics Q21

Moment of Inertia (I) is integral for which of the following?

A

First moment of mass

B

Second moment of mass

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q22

The center of mass generally describes which of the following?

A

Circular path

B

Linear path

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q23

The equation of motion for two‑dimensional rigid body is applied to which of the following?

A

Center of gravity

B

Center of mass

C

Origin

D

None of the above

Conceptual and Mathematical Basics Q24

Which of the following is true of Moment of Inertia (I)?

A

It is a positive quantity.

B

It is a negative quantity.

C

Both A and B

D

None of the above

Conceptual and Mathematical Basics Q25

Which of the following methods can be used to compute Moment of Inertia (I)?

A

Shell method

B

Disk method

C

Volume method

D

All of the above

Conceptual and Mathematical Basics Q26

Moment of Inertia (I) is applied to bodies undergoing which type of acceleration?

A

Linear acceleration

B

Angular acceleration

C

Both A and B

D

None of the abov

Conceptual and Mathematical Basics Q27

In three‑dimensions, which of the following is true of the product of inertia?

A

The product of inertia can be a negative quantity.

B

The product of inertia can be a positive quantity.

C

The product of inertia can be zero.

D

All of the above

Conceptual and Mathematical Basics Q28

The position of a body in three‑dimensions is comprised of how many components?

A

1

B

3

C

6

D

9

Conceptual and Mathematical Basics Q29

Which of the following are examples of space curves in three‑dimensions?

A

Body cone

B

Space cone

C

Both A and B

D

None of the above

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