# Conceptual and Mathematical Basics

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Source: **Saylor**

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A question pack on dynamics in mechanical engineering.

This content is licensed under the Creative Commons Attribution 3.0 Unported License.

Acceleration is the first derivative of which of the following?

Time

Distance

Velocity

None of the above

Cylindrical coordinates comprise which of the following vectors?

Position

Acceleration

Velocity

All of the above

Distance is the integral of which of the following?

Time

Velocity

Acceleration

None of the above

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

Fixed frame

Moving frame

Both A and B

None of the above

Velocity is the integral of which of the following?

Time

Distance

Acceleration

None of the above

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

Radial coordinates

Traverse coordinates

Both A and B

None of the above

Velocity is the first derivative of which of the following?

Time

Distance

Acceleration

None of the above

Equations of motion in cylindrical coordinates involve how many components?

1

2

3

4

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

Law of inertia

Law of force

Law of action‑reaction

Law of gravitational attraction

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

Law of inertia

Law of force

Law of action‑reaction

Law of gravitational attraction

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

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

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

Both A and B

None of the above

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

Law of inertia

Law of force

Law of action‑reaction

Law of gravitational attraction

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

Internal

External

Both internal and external

Neither internal nor external

Moment of Inertia (I) generally involves ______________ integral.

Single

Double

Triple

Quadruple

Radius of gyration is the square root of ______________.

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

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

Moment of Inertia (I) divided by displacement.

None of the above

In solids of revolution which of the following is true?

x‑y plane rotates about x axis.

x‑y plane rotates about z axis.

y‑z plane rotates about z axis.

y‑z plane rotates about y axis.

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

(Kg) (m$^2$)

(Slug) (ft$^2$)

(N) (m$^2$)

(lb) (ft$^2$)

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

Body rotating about a pin support

Wheel rotating without slipping

Force acts perpendicular in direction of displacement

All of the above

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

Acceleration

Momentum

Impulse

Mass

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

First moment of mass

Second moment of mass

Both A and B

None of the above

The center of mass generally describes which of the following?

Circular path

Linear path

Both A and B

None of the above

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

Center of gravity

Center of mass

Origin

None of the above

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

It is a positive quantity.

It is a negative quantity.

Both A and B

None of the above

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

Shell method

Disk method

Volume method

All of the above

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

Linear acceleration

Angular acceleration

Both A and B

None of the abov

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

The product of inertia can be a negative quantity.

The product of inertia can be a positive quantity.

The product of inertia can be zero.

All of the above

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

1

3

6

9

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

Body cone

Space cone

Both A and B

None of the above

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