Kinematics

Question 1

What is dynamics the study of?

Answer 1

The study of moving objects.

Question 2

What subjects are dynamics divided into?

Answer 2

Kinematics and kinetics.

Question 3

What is the kinematics the study of?

Answer 3

It is the study of geometry of motion without consideration of the causes of motion or the study of a body’s motion independent of the forces on the body.

Question 4

What kind of relationships are dealt with in kinematics?

Answer 4

Only with relationships among position, velocity, acceleration, and time

Question 5

When can a body in motion be considered a particle?

Answer 5

If rotation of the body is absent or insignificant.

Question 6

What type of energy does a particle not posses?

Answer 6

Rotational kinetic energy.

Question 7

What do all parts of a particle share?

Answer 7

The same instantaneous displacement, velocity, acceleration, and time.

Question 8

What is a rigid body?

Answer 8

A body that does not deform when loaded.

Question 9

Can a rigid body be considered a particle?

Answer 9

It can be considered a combination of two or more particles that remain at a fixed, finite distance from each other.

Question 10

What can particles representing a rigid body have different values of?

Answer 10

Displacements, velocities, and accelerations.

Question 11

When will particles that are representing a rigid body, have different values of displacements, velocities, and accelerations?

Answer 11

If the body has rotational as well as translational motion.

Question 12

What is the derivative of the position vector?

Answer 12

The instantaneous velocity.

Question 13

What is the derivative of the instantaneous velocity vector?

Answer 13

The instantaneous acceleration.

Question 14

What is displacement?

Answer 14

The net change in a particle’s position as determined from the position function.

Question 15

What is distance traveled?

Answer 15

The accumulated length of the path traveled during all direction reversals.

Question 16

How can distance traveled be found?

Answer 16

It can be found by adding the paths lengths covered during the periods in which the velocity sign does not change.

Question 17

Which is greater distance or displacement?

Answer 17

Distance is always greater than or equal to displacement.

Question 18

What is velocity?

Answer 18

It is a vector, having both magnitude and direction.

Question 19

What is speed?

Answer 19

It is a scalar quantity, equal to the magnitude of velocity.

Question 20

How is the position of a particle specified?

Answer 20

It is specified with reference to a coordinate system.

Question 21

When does a coordinate represent a linear position?

Answer 21

In the rectangular coordinate system.

Question 22

When does a coordinate represent an angular position?

Answer 22

In the polar coordinate system.

Question 23

What are the three primary forms that a particles position, velocity and acceleration be specified in a rectangular coordinate system?

Answer 23

Vector form, rectangular coordinate form, and unit vector form.

Question 24

What is the Cartesian unit vector form or rectangular unit vector form?

Answer 24

The x direction i, the y direction j, and the z direction k

Question 25

What is rectilinear system or linear system?

Answer 25

A system in which particles move only in straight lines.

Question 26

What type or relationships do rectilinear motion have with acceleration?

Answer 26

Variable and constant acceleration.

Question 27

What do the rectilinear relationship values represent?

Answer 27

Instantaneous values of displacement, velocity, and acceleration.

Question 28

What the first two derivatives of the position vector in the Cartesian coordinate system?

Answer 28

The velocity and acceleration.

Question 29

What is curvilinear motion?

Answer 29

Describes the motion of a particle along a path that is not a straight line.

Question 30

What are special examples of curvilinear motion?

Answer 30

Plane circular motion and projectile motion.

Question 31

What coordinate systems can be used for curvilinear motion?

Answer 31

Rectangular or polar coordinate systems.

Question 32

What is plane circular motion?

Answer 32

Motion of a particle around a fixed circular path.

Question 33

What is the position of a particle in polar coordinates?

Answer 33

The position of a particle is described by the radius and angle.

Question 34

Can the curvilinear motion be represented in rectilinear form?

Answer 34

Yes.

Question 35

What defines the behavior of a rotating particle?

Answer 35

Angular position,. angular velocity, and angular acceleration.

Question 36

What can a particle in planar motion's velocity and acceleration be divided into?

Answer 36

Into transverse and radial components.

Question 37

What are the directions of the radial and transverse components to the unit radial vector?

Answer 37

the radial component is parallel and the transverse and perpendicular to the unit vector.

Question 38

Will a particle moving in a curvilinear path have instantaneous values?

Answer 38

Yes

Question 39

What are the values that a particle moving in a curvilinear path will have?

Answer 39

Instantaneous velocity and acceleration.

Question 40

What are the components of the variables that a particle moving in a curvilinear path will have?

Answer 40

Tangential and normal components.

Question 41

What is the normal component?

Answer 41

The force that constrains the particle to the curved path will generally be directed to the center of rotation, and the particle will experience an inward acceleration.

Question 42

What is the tangential component?

Answer 42

It is perpendicular to the normal component in the direction of the particle motion.

Question 43

What is the resultant acceleration equal to?

Answer 43

The vector sum of the tangential and normal acceleration.

Question 44

What is relative motion?

Answer 44

When motion of a particle is described with respect to something else in motion.

Question 45

In general what is the relationship between the linear and rotational values dependent on?

Answer 45

The radius.

Question 46

What is projectile motion a special case of?

Answer 46

Motion under constant acceleration.

Question 47

What is the apex in projectile motion?

Answer 47

The point where the projectile is at its maximum elevation.

Question 48

In the absence of air drag, what is the rule for the trajectory for travel over a horizontal plane?

Answer 48

the trajectory is parabolic.

Question 49

In the absence of air drag, what is the rule for the impact and initial velocity for travel over a horizontal plane?

Answer 49

They are equal to each other.

Question 50

In the absence of air drag, what is the rule for the range in travel over a horizontal plane?

Answer 50

The range is maximum when theta is equal to 45 degrees.

Question 51

In the absence of air drag, what is the rule for the travel time from launch to apex and apex to impact for travel over a horizontal plane?

Answer 51

The time for the projectile to travel from the launch to the apex is equal to the time for the projectile to travel from the apex to impact.

Question 52

In the absence of air drag, what is the rule for the travel time from apex to impact and a stationary object at the same height to impact for travel over a horizontal plane?

Answer 52

The travel time for apex to impact is equal to the travel time for a stationary object at the apex height to impact.