1. 5.Kinematics of Particles
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2. ME-RMUTI Sarthit Toolthaisong
Chapter Outline
6-1 Rectilinear Motion
6-2 Angular Motion
6-3 Plane Curvilinear Motion
6-4 Plane Relative Motion
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3. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
A study of linear motion of particle
- distance
- velocity
- acceleration -x +x x Dx
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4. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
Average velocity between P- P’
Instantaneous velocity
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5. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
Average acceleration between P- P’
Instantaneous acceleration
v = velocity >> m/s
x = distance of motion >> m
a = acceleration >> m/s2
t = time of motion >> sec
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6. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
Direction of velocity and acceleration
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7. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
Relationship between distance, velocity and acceleration
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8. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
The differential equation in each case
1) Constant velocity
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9. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
The differential equation in each case
2) Constant acceleration
from
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10. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
The differential equation in each case
For x0=0
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11. ME-RMUTI Sarthit Toolthaisong
6-1 Rectilinear Motion
The differential equation in each case
3) For vertical motion (a=g=-9.81 m/s2)
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12. ME-RMUTI Sarthit Toolthaisong
6-2 Angular Motion
rad
Angular displacement
rad/s
Angular velocity
rad/s2
Angular acceleration
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13. ME-RMUTI Sarthit Toolthaisong
6-2 Angular Motion
Constant angular velocity
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14. ME-RMUTI Sarthit Toolthaisong
6-2 Angular Motion
Constant angular acceleration
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15. ME-RMUTI Sarthit Toolthaisong
6-2 Angular Motion
Constant angular acceleration
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16. ME-RMUTI Sarthit Toolthaisong
6-2 Angular Motion
Constant angular acceleration
From relationship
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17. 6-3 Plane Curvilinear Motion
Rectangular coordinate x-y
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18. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Projectile motion
Acceleration    
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19. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Tangential and Normal component (n-t)
velocity
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20. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Tangential and Normal component (n-t)
Acceleration in normal and tangential
Normal (an)
Tangential (at)
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21. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Tangential and Normal component (n-t)
Acceleration in normal and tangential
For r = constant
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22. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Polar coordinate (r-q)
acceleration
Magnitude
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23. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Polar coordinate (r-q)
velocity
Magnitude
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24. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Polar coordinate (r-q)
acceleration
Magnitude
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25. 6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong
Polar coordinate (r-q)
For r = constant
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26. 6-5 Plane Relative motion ME-RMUTI Sarthit Toolthaisong
- Translating reference axes
- Rotating reference axes
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27. 6-5 Polar Coordinates (r- q ) ME-RMUTI Sarthit Toolthaisong
Translating reference axes B A X Y x y or
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28. 6-5 Polar Coordinates (r- q ) ME-RMUTI Sarthit Toolthaisong
Rotating reference axes
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29. 6-6 Relative Motion (Translating Axis) ME-RMUTI Sarthit Toolthaisong