About the movement of a cube and a sphere on a plane

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SUMMARY

The discussion clarifies the movement dynamics of different shapes on a plane, specifically focusing on spheres, cylinders, and cubes. Spherical and cylindrical objects roll due to their center of mass remaining at a constant height, requiring minimal energy for movement. In contrast, cubes and rectangular objects slide because lifting their center of mass over corners demands significantly more energy. Although cubes can roll when sufficient force is applied, such as in the case of dice, this is not their primary mode of movement.

PREREQUISITES
  • Understanding of basic physics principles, particularly energy and motion.
  • Familiarity with concepts of center of mass and its impact on movement.
  • Knowledge of geometric shapes and their properties in motion.
  • Basic mechanics of rolling versus sliding friction.
NEXT STEPS
  • Research the physics of rolling motion in "Classical Mechanics".
  • Explore the concept of center of mass in "Physics for Engineers".
  • Study the differences in friction types, focusing on "Static vs. Kinetic Friction".
  • Investigate practical applications of rolling and sliding in "Mechanical Engineering Design".
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in the dynamics of motion and energy efficiency in various shapes.

davon806
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A spherical or cylindrical object would roll on a plane.
However,object with other shapes(e.g. A cube or a retangular object) would slide on a plane.
Why?
 
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Because:-
When a cylinder/sphere rolls, it's centre of mass stays at the same height so only a little bit of energy is needed to move it.

But to 'roll' a cube, you have to lift the centre of mass over the corner. That takes a lot of energy. If you push a cube very hard and give it plenty of energy, it will roll. (Think of dice)
 

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