Concept — Mass-weighted midpoint of a system.
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06
Linked atoms
43 linked atoms.
05 Momentum and collisions
- Worked example — collision through a spring
- Worked example — partially inelastic collision
- Perpendicular 2D collision
- Velocity from the total momentum
- True or false (impulse and collisions)
- Towards the centre of mass
06 Centre of mass
- Seesaw and fulcrum
- Geometric centroid
- Centre of mass of two masses on the x-axis
- Centre of mass of three masses in the plane
- Definition of the centre of mass
- Disc with a tangent hole
- Where the centroid falls (rod and ball)
- Two blocks with a spring and the CM graph
- Internal energy of the system
- Gravitational potential energy of the CM
- Worked example — circle with a hole
- Worked example — the cat on the cart
- Fantaphysics: instantaneously variable mass
- Push force in a vertical jump
- Quantities summarised and decomposed
- The anti-matter method
- The boy walking on the boat
- The centre-of-mass reference frame
- The hourglass on the scale
- The velocity of the centre of mass
- Reading the CM position graph
- Why the centre of mass is a useful notion
- Person walking on the boat
- Person on the boat
- Ranking the CM height of plane figures
- Ranking pairs of masses on a line
- Ranking the CM distance in dumbbells
- Rocket exploding mid-trajectory
- Rocket in deep space
- Newton’s second law for the CM
- Challenge: chain on a table
- Three bodies on an axis
- Three masses on an axis
- Finding the masses from the CM
- A point that does not exist
- Velocity and momentum of the CM
- True or false on the centre of mass