Module 13: Kinematics of Rigid Bodies

Question 1

5 Types of Rigid-Body Motion

Answer 1

a. translation
b. rotation about a fixed axis
c. general plane motion
d. motion about a fixed point
e. general motion

Question 2

in this case, angular acceleration is zero. thus, angular velocity is constant

Answer 2

uniform rotation

Question 3

all the particles forming the body move along parallel paths

Answer 3

translation

Question 4

In ___________________________, the velocity and acceleration change in direction and magnitude at every instant.

Answer 4

curvilinear translation

Question 5

this can always be considered as the sum of a translation and a rotation

Answer 5

general plane motion

Question 6

More often, the conditions of motion will be specified by the
_________________________ that the body possesses

Answer 6

type of angular acceleration

Question 7

In ________________________, all particles of the body move along parallel straight lines, their velocity and acceleration keep the same direction during the entire motion.

Answer 7

rectilinear translation

Question 8

if this axis, called the axis of rotation, intersects the rigid body, the particles located on the axis have zero velocity and zero acceleration

Answer 8

rotation about a fixed axis

Question 9

if _____________________ intersects the rigid body, the particles located on the axis have zero velocity and zero acceleration

Answer 9

axis of rotation

Question 10

Most __________________ of a rigid body in space is equivalent, at any given instant, to the sum of a translation and a rotation.

Answer 10

general motion

Question 11

At any given instant the velocities of the various particles of the slab are the same as if the slab were rotating about a certain axis perpendicular to the plane of the slab, called the?

Answer 11

instantaneous axis of rotation

Question 12

The angle 𝜃 is known as the _________________ of the body and is defined as positive when viewed as counterclockwise from 𝐴’.

Answer 12

angular coordinate

Question 13

When a rigid body is in ___________________, all the points of the body have the same velocity and the same acceleration at any given instant

Answer 13

translation

Question 14

any motion of a rigid body that does not fall in any of the categories aforementioned

Answer 14

general motion

Question 15

path of motion are straight lines

Answer 15

rectilinear motion

Question 16

theorem used in motion about a fixed point

Answer 16

Euler’s Rotation Theorem

Question 17

any plane motion that is neither a rotation nor a translation is referred to as?

Answer 17

general plane motion

Question 18

the ____________________ of a rigid body in plane motion is independent of the reference point

Answer 18

angular velocity

Question 19

it is any straight line inside the body keeps the same direction during the motion

Answer 19

translation

Question 20

in this case, the angular acceleration is constant

Answer 20

uniformly accelerated rotation

Question 21

the particles forming the rigid body move in parallel planes along circles centered on the same fixed axis

Answer 21

rotation about a fixed axis

Question 22

it is the point about which you can
assume a body is rotating at a given instant, as you determine the
velocities of the points of the body at that instant

Answer 22

instantaneous center of rotation

Question 23

path of motion are curved lines

Answer 23

curvilinear motion

Question 24

what is constant in uniform rotation?

Answer 24

angular velocity

Question 25

The ______________________ of a body rotating about a fixed axis is a vector directed along the axis of rotation, and is equal in magnitude to the rate of change 𝜔ሶ of the angular velocity.

Answer 25

angular acceleration

Question 26

two particular cases of rotation

Answer 26

a. uniform rotation b. uniformly accelerated rotation

Question 27

what is constant in uniformly accelerated rotation?

Answer 27

angular acceleration