Center of Mass.

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Presentation transcript:

Center of Mass

https://www.youtube.com/watch?v=e8W2l3chqdU

https://www.youtube.com/watch?v=32QMtCuUKbo

Definition Point which moves as if all the mass of a system is concentrated there.

Motion of Center of Mass All of the kinematics equations describe the motion of the center of mass of a particle

System of Point Masses

Example (3m,3m) (0,3m) 2 kg 3 kg (3m,0) 4 kg

Projectile example 30 m/s 60° t = 4s (57.3m,28.2m) 2 kg (64.1m,26.8m) BOOM 2 kg (64.1m,26.8m) 3 kg (58.7m,23.6m) 30 m/s 5 kg 60°

Center of mass

Projectile X Y x= y= xo=0 yo=0 vx=30cos60 vy= vxo=30cos60 vyo=30sin60 ax =0 ay = -9.8 t = 4

Projectile Equations

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