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    Golf Ball Speed Analysis

    Apparatus

    By: Dan and David LangenderferFaculty Mentor: Dr. H. El-Mounayri

    ENGR 196 Honors Project, Dec. 2001

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    Outline of Presentation

    Original Intent 1st conceptual design

    Flaws in 1st design

    2nd conceptual design

    Flaws in 2nd design

    Motion of apparatus

    Final design

    Changes to finaldesign

    Components

    Animation at 30

    Animation at 25

    Graphs of

    acceleration, velocity,forces, and position

    Limitations

    Possible

    Improvements

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    Original Intent of Project

    Find speed of baseball after being hit by a

    bat.

    Slow the measuring apparatus down.

    Design apparatus to have relatively no

    vibration.

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    1st Design

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    Flaws in 1st Design

    The parts would have to be big to with

    stand speed.

    The arms used to slow the mechanism

    down may fly apart.

    The joints would not be pin joints,instead they would have to pivot.

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    2nd Design

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    Flaws In Second Design

    The spring would have a large recoil

    velocity.

    The recoil velocity could injure the

    player or break his equipment.

    The parts would have to be rigid andstrong for their size.

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    Motion of Apparatus

    Forces applied by the putter to the ball.

    Ball arm pivots on center shaft, while arrow

    indicates speed of initial impact.

    Spring attached to ball arm counteracts the

    initial impact of the putter.

    Ball returns to initial position.

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    Final Design

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    Changes In Final Design(Throughout Process)

    Removed the spring from the shaft.

    Connected arrow to the ball-arm.

    Added half-sphere to the stop.

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    Components of Final Design

    Base Feature

    Ball-Arm

    Top Retainer

    Indicator Arrow

    Putter Spring (Removed from final assembly do to

    complications in Pro Mechanica).

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    Base Feature

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    Ball-Arm

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    Top Retainer

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    Indicator Arrow

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    Putter

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    Spring

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    Assembly

    Aligned center axis of base feature with

    center axis of the ball-arm.

    Mated the ball-arm, indicator arrow, and topretainer.

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    Initial Conditions

    Putter Angle1 = 0.5236

    radians

    Velocity = 0.17244radians per second

    Angle2 = 0.4363radians

    Velocity = 0.17244radians per second

    Ball arm

    Angle1 = 0 radians

    Velocity = 0 radians

    per second

    Angle2 = 0 radians

    Velocity = 0 radians

    per second

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    Animation at 30

    (click on image)

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    Animation at 25

    (click on image)

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    Results Angular Acceleration

    Angular Velocity

    Joint Force

    Joint Torque

    Shoulder Force

    Shoulder Torque

    Point Acceleration

    Point Position

    Point Velocity

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    Angular Acceleration

    -350

    -300

    -250

    -200

    -150

    -100

    -50

    0

    50

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    -4

    -3

    -2

    -1

    0

    1

    2

    3

    4

    5

    Pivot Joint Shoulder

    -350

    -300

    -250

    -200

    -150

    -100

    -50

    0

    50

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    -4

    -3

    -2

    -1

    0

    1

    2

    3

    4

    5

    Angle

    25

    Angle

    30

    A

    ngularAcceleration

    (radians/second2)

    Time (seconds)

    AngularAcceleration

    (radians/secon

    d2)

    Time (seconds)

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    Angular Velocity

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    -1

    -0.5

    0

    0.5

    1

    1.5

    2

    Pivot Joint Shoulder

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    -1

    -0.5

    0

    0.5

    1

    1.5

    2

    Angle

    25

    Angle

    30

    AngularVelocity

    (radians/second)

    Time (seconds)

    AngularVelocity

    (radians/second)

    Time (seconds)

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    Joint Force

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Pivot Joint

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Angle

    25

    Angle

    30

    Force(pounds)

    Time (seconds)

    Force(pounds)

    Time (seconds)

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    Joint Torque

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    4.5

    5.0

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Pivot Joint

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    4.5

    5.0

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Angle

    25

    Angle

    30

    Time (seconds)

    Time (seconds)

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    Shoulder Force

    Angle

    25

    Angle

    30

    Force(pounds)

    Time (seconds)

    Force(pounds)

    Time (seconds)

    2.4

    2.6

    2.8

    3.0

    3.2

    3.4

    3.6

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Shoulder

    2.4

    2.6

    2.8

    3.0

    3.2

    3.4

    3.6

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

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    Shoulder Torque

    Angle

    25

    Angle

    30

    Time (seconds)

    Time (seconds)

    0.8

    0.9

    1.0

    1.1

    1.2

    1.3

    1.4

    1.5

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Shoulder

    0.8

    0.9

    1.0

    1.1

    1.2

    1.3

    1.4

    1.5

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

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    Point Acceleration

    Angle

    25

    Angle

    30

    AngularAcceleration

    (radians/second2)

    Time (seconds)

    AngularAcceler

    ation

    (radians/secon

    d2)

    Time (seconds)

    -1000

    0

    1000

    2000

    3000

    4000

    5000

    6000

    7000

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Ball Arrow Tip

    -1000

    0

    1000

    2000

    3000

    4000

    5000

    6000

    7000

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

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    Point Position

    Angle

    25

    Angle

    30

    Distance(radians)

    Time (seconds)

    Distance(radia

    ns)

    Time (seconds)

    0

    2

    4

    6

    8

    10

    12

    14

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Ball Arrow Tip

    0

    2

    4

    6

    8

    10

    12

    14

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

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    Point Velocity

    Angle

    25

    Angle

    30

    AngularVelocity

    (radians/second)

    Time (seconds)

    AngularVelocity

    (radians/second)

    Time (seconds)

    -20

    0

    20

    40

    60

    80

    100

    120

    140

    160

    180

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

    Ball Arrow Tip

    -20

    0

    20

    40

    60

    80

    100

    120

    140

    160

    180

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

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    Limitations

    Scale is not calibrated.

    Indicator arrow does not help golfer findvelocity, distance, or force.

    Linear spring may affect results.

    Ball-arm hits support for scale. Motion never stops.

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    Possible Improvements

    Different source of resistance.

    Move support for scale.