Superphysics Superphysics

Corollaries 1-2

by Isaac Newton Icon
2 minutes  • 217 words
Table of contents

Corollary 1

A body that is moved by two perpendicular forces will move in a diagonal

Force on a plane

  • A force M impressed on a body at A will be uniformly carried from A to B.
  • A force N impressed at A will be carried from A to C.
  • If N and M act together, their forces will an the same time be carried in the diagonal from A to D.
    • Law 2 means that N will not at all change the velocity generated by M
    • The body therefore will arrive at the line BD in the same time, whether the force N be impressed or not. Therefore at the end of that time, it will be found somewhere in the line BD.
  • Likewise, it will be found somewhere in the line CD at the end of the same time, if N were impressed. Therefore, it will be in the point D where both lines meet.
    • But Law 1 means that it will move from A to D.

Corollary 2

Thus, a single force AD is made up of two forces AC and CD just as those two forces can arise from AD.

Center O has 2 unequal radii OM and ON. M sustains a weight A through a cord MA. N sustains a weight P by the cord NP…

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