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Center of Mass Velocity Calculations in Dynamics

Understanding the velocity and momentum of the center of mass in a system of moving objects based on different scenarios and configurations. Learn to calculate and analyze the CoM properties effectively.

malinda-drakos
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Center of Mass Velocity Calculations in Dynamics

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  1. Find the velocity of the CoM of the System V= 3 m/s V= 0 A 3kg ball moves at 3 m/s towards a 1 kg ball at rest that is 100 meters away 3 kg Xcm 1 Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 4 kg = 2.25 m/s

  2. Find the velocity of the CoM of the System V= 3 m/s V= 0 A 3kg ball moves at 3 m/s towards a 3 kg ball at rest 3 kg 3 kg Xcm Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 6 kg = 1.5 m/s

  3. Find the velocity of the CoM of the System V= 3 m/s V= 3m/s Two 3kg ball move toward each other at 3 m/s 3 kg 3 kg Xcm Vcm = Σmv/Σm = {3kg x 3 m/s - 3kg x 3m/s } / 6 kg = 0 m/s

  4. Find the velocity of the CoM of the System V= 3 m/s V= 3m/s Two 3kg ball move in the same direction at 3 m/s 3 kg 3 kg Xcm Vcm = Σmv/Σm = {3kg x 3 m/s + 3kg x 3m/s } / 6 kg = 3 m/s

  5. Find the momentum of the CoM of the System V= 3 m/s V= 0 A 3kg ball moves at 3 m/s towards a 1 kg ball at rest that is 10 meters away 3 kg Xcm 1 Pcm = MVcm Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 4 kg = 2.25 m/s Pcm = 4 kg x 2.25 m/s = 9 kg m/s

  6. Find the momentum of the CoM of the System V= 3 m/s V= 0 A 3kg ball moves at 3 m/s towards a 3 kg ball at rest 3 kg 3 kg Xcm Pcm = MVcm Vcm = Σmv/Σm = {3kg x 3 /s + 0} / 6 kg = 1.5 m/s Pcm = 6kg x 1.5 m/s = 9 kg m/s

  7. Find the momentum of the CoM of the System V= 3 m/s V= 3m/s Two 3kg ball move toward each other at 3 m/s 3 kg 3 kg Xcm Pcm = MVcm Vcm = Σmv/Σm = {3kg x 3 m/s - 3kg x 3m/s } / 6 kg = 0 m/s Pcm = 6kg Vcm = 0

  8. Find the momentum of the CoM of the System V= 3 m/s V= 3m/s Two 3kg ball move in the same direction at 3 m/s 3 kg 3 kg Xcm Pcm = MVcm Vcm = Σmv/Σm = {3kg x 3 m/s + 3kg x 3m/s } / 6 kg = 3 m/s Pcm = 6kg x 3 m/s = 18 kg m/s

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