Chapter 8: Rotational Motion (from Lecture Slide) Flashcards

1
Q

When an object turns about an internal axis, it is undergoing

A

Circular motion or rotation

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2
Q

Circular motion is characterized by two kinds of speeds

A

1) Tangential (linear) speed
2) Rotational (angular) speed

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3
Q

Rotational speed is

A

The number of rotations or revolutions per unit of time

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4
Q

All parts of a rigid turntable turn about the axis of rotation in

A

The same amount of time

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5
Q

All points have the same

A

Angular/rotational speed

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6
Q

Tangential speed

A

The linear speed of something moving along a circular path

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7
Q

At different radii, the tangential speeds

A

Can be vary

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8
Q

Rotational inertia

A

The property of an object to resist changes in its rotational state of motion

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9
Q

An object rotating about an axis tends to remain rotating about

A

The same axis at the same rotational speed unless interfered with by some external influence

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10
Q

Bodies that are rotating tend to remain what?

A

Rotating

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11
Q

Non-rotating bodies tends to remain what?

A

Non-rotating

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12
Q

Like linear rotation, rotational inertia depends on

A

Mass: Distribution of the mass about the axis of rotation

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13
Q

The greater the distance between an object’s mass concentration and the axis

A

The greater the rotational inertia

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14
Q

The greater the rotational inertia of an object

A

The greater the difficulty in changing its rotational state

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15
Q

Much of the mass of the pole is far from

A

The axis of rotation (its midpoint)

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16
Q
  1. Depends upon the axis around which it rotates
A

a. Easier: to rotate around an axis passing through it (mass is evenly distributed around axis)

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17
Q
  1. Depends upon the axis around which it rotates
A

b. Harder: to rotate it around vertical axis passing through center (half of its mass is distributed on both sides of the axis)

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18
Q
  1. Depends upon the axis around which it rotates
A

c. Hardest: to rotate it around vertical axis passing through the end (all mass is on one side of the axis)

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19
Q

Torque is

A

The rotational counterpart of force

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20
Q

Force tends to

A

Change the motion of things

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21
Q

Torque depends upon three factors:

A

1) Magnitude of the force
2) The direction in which the force acts
3) The point at which the force is applied on the object

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22
Q

Torque (like rotational inertia) involves distance from the rotational axis. This distance is called the

A

Lever arm

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23
Q

The tendency of a force to cause rotation is called

A

Torque

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24
Q

Lever arm is less than

A

Length of handle because of direction of force

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25
Lever arm is equal to
Length of handle
26
Lever arm is longer than
Length of handle
27
If the force is applied in the same direction as the perpendicular distance or at the axis of rotation, which force produces no torque?
It does not rotating anything
28
If the seesaw doesn't rotate, does that mean that there's no torque?
Like Newton 1st law, you can still have force but have zero net force
29
Similarly, you can still have torques, produces but having what?
Zero net torque
30
Center of mass
The average position of all the mass that makes up the object
31
Symmetric object, the mass is located at
The geometric center
32
Asymmetric (irregular) object depends on
The position, bat, were thicker end
33
Center of gravity
The average position of weight distribution and located at the same point as the CM
34
Two types of motion
1) Straight line motion along its CM 2) Rotation about its CM
35
Locating the center of gravity
1) Is at geometric midpoint 2) Balancing objects provides a way to find CG 3) All points produce a resultant weight vector at the CG 4) Supporting the midpoint supports the entire stick
36
Stability
The location of the center of gravity is important for stability
37
If we draw a line straight down from the center of gravity and it falls
Inside the base of support of the object, it is in stable equilibrium and it will balance.
38
If it falls outside the base, it is
Unstable
39
Both L-shaped objects have the same weight. Are they in equilibrium?
A torque exists in both and their line of gravity falls outside the base of support, so they tend to rotate, both are unstable and both fall over
40
Centripetal force
Any force directed toward a fixed center
41
Centripetal means
Center-seeking or toward the center
42
Centripetal force depends upon
1) Mass of object 2) Tangential speed of the object 3) Radius of the circle
43
Centripetal force deals with any force that is
Directed towards the center
44
If the motion is circular and at constant speed, this force is
At right angle, to the path of the moving object
45
Greater speed and greater mass require
Greater centripetal force
46
Traveling in a circular path with a smaller radius of curvature requires
A greater centripetal force
47
When a car rounds a curve, the centripetal force prevents it from
Skidding off the road (friction force)
48
If the road is wet, or if the car is going too fast, the centripetal force is
Insufficient to prevent skidding off the road
49
Only two forces act on the bob
1) mg, the force due to gravity 2) T, tension in the string
50
Net force in the vertical direction of the centripetal force is
Zero
51
Vertical direction must be
Equal and opposite to mg
52
Horizontal force is the net force on the bob that contributes to the
Centripetal force
53
Although centripetal force is center directed, an occupant inside a rotating system seems to
Experience an outward force
54
This apparent outward force on a rotating or revolving body is called
Centrifugal force
55
Centrifugal means
Center-fleeing or away from the center
56
It is misconception that a centrifugal force pulls
Outward on an object
57
If the string break, the object doesn't move
Radially outward
58
If the string break, It continues along its tangent straight-line path, because what?
No force acts on it (Newton's First Law of Inertia)
59
Centrifugal force sometimes called what?
1) Fictitious force 2) Apparent force 3) Inertial force
60
Centrifugal force is not a real force like gravity, but
In a rotating frame, the centrifugal force feels like a real force
61
Centrifugal force with free fall
They don't feel gravity anymore but they feel simulated gravity.
62
Simulated gravity: Stationary frame (outside)
1) Action-reaction pair between floor and person 2) If the system is defined on, the reaction froce of the floor contributes to the centripetal force
63
Simulated force: Rotating frame (inside)
1) No action-reaction pair exist 2) Centrifugal force acts at the center of gravity of it 3) Nothing that pulls back on it
64
Linear momentum
Motion along a straight line path, and called: "Inertia of motion"
65
Angular momentum
The "inertia of motion" of rotating objects
66
Angular momentum (point-like masses)
Object that is small compared with the radial distance to its axis of rotation
67
Rotational version of Newton's first law: An object or system of objects will:
Maintain its angular momentum unless acted upon by an external net torque
68
An external net torque is required to
Change the angular momentum of an object
69
Our solar system has angular momentum that includes the Sun:
The spinning and orbiting planets and other smaller bodies
70
The angular momentum of the solar system is
Conserved unless an external torque outside the solar system changes it
71
In the absence of net external torques, angular momentum is
Conserved
72
In the absence of net external forces, linear momentum is
Conserved
73
If no external net torque acts on a rotating system,
The angular momentum of that system remains constant
74
When the man pulls the weights inward, his rotational speed
Increases
75
Suppose by pulling the weight inwards, the rotational inertia of the man reduces to
Half its value and the factor that would angular velocity change is double!