5.Kinematics of Particles

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Presentation transcript:

5.Kinematics of Particles ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong Chapter Outline 6-1 Rectilinear Motion 6-2 Angular Motion 6-3 Plane Curvilinear Motion 6-4 Plane Relative Motion ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion A study of linear motion of particle - distance - velocity - acceleration -x +x x Dx ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion Average velocity between P- P’ Instantaneous velocity ME-RMUTI Sarthit Toolthaisong

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 ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion Direction of velocity and acceleration ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion Relationship between distance, velocity and acceleration ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion The differential equation in each case 1) Constant velocity ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion The differential equation in each case 2) Constant acceleration from ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion The differential equation in each case For x0=0 ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-1 Rectilinear Motion The differential equation in each case 3) For vertical motion (a=g=-9.81 m/s2) ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-2 Angular Motion rad Angular displacement rad/s Angular velocity rad/s2 Angular acceleration ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-2 Angular Motion Constant angular velocity ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-2 Angular Motion Constant angular acceleration ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-2 Angular Motion Constant angular acceleration ME-RMUTI Sarthit Toolthaisong

ME-RMUTI Sarthit Toolthaisong 6-2 Angular Motion Constant angular acceleration From relationship ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion Rectangular coordinate x-y ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Projectile motion Acceleration     ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Tangential and Normal component (n-t) velocity ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Tangential and Normal component (n-t) Acceleration in normal and tangential Normal (an) Tangential (at) ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Tangential and Normal component (n-t) Acceleration in normal and tangential For r = constant ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Polar coordinate (r-q) acceleration Magnitude ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Polar coordinate (r-q) velocity Magnitude ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Polar coordinate (r-q) acceleration Magnitude ME-RMUTI Sarthit Toolthaisong

6-3 Plane Curvilinear Motion ME-RMUTI Sarthit Toolthaisong Polar coordinate (r-q) For r = constant ME-RMUTI Sarthit Toolthaisong

6-5 Plane Relative motion ME-RMUTI Sarthit Toolthaisong - Translating reference axes - Rotating reference axes ME-RMUTI Sarthit Toolthaisong

6-5 Polar Coordinates (r- q ) ME-RMUTI Sarthit Toolthaisong Translating reference axes B A X Y x y or ME-RMUTI Sarthit Toolthaisong

6-5 Polar Coordinates (r- q ) ME-RMUTI Sarthit Toolthaisong Rotating reference axes ME-RMUTI Sarthit Toolthaisong

6-6 Relative Motion (Translating Axis) ME-RMUTI Sarthit Toolthaisong

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