what is the different between linear and rotational dynamics
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Translational motion is a motion in which the relative velocities between any two particles of the body is zero.
Non-Translational or Rotational motion is a motion in which the relative velocities between any two particles of the body is non-zero.
Example:-
Suppose there is a disc rotating about its axis passing through its center.Consider two points situated at different radii from the IAR.Both have different tangential velocities.For the nearer one,It is ‘wr’ and for the farther one it is ‘wR’.
Where R>r,
There exists a relative speed between them always whose magnitude equals to w (R-r) which is non-zero.
Here w is the angular speed of the disc.
Thus this motion is a pure rotational motion.
Now if the same disc is made to slide on the surface in a particular direction, the relative velocity between any two points lying within the bulk of the disc is zero thus it is a pure translational motion.
In other words, if you fix a coordinate frame to any of the particle on the body, and the orientation of such coordinate frame does not changes with respect to time, it is a translational motion or else rotational motion.
Non-Translational or Rotational motion is a motion in which the relative velocities between any two particles of the body is non-zero.
Example:-
Suppose there is a disc rotating about its axis passing through its center.Consider two points situated at different radii from the IAR.Both have different tangential velocities.For the nearer one,It is ‘wr’ and for the farther one it is ‘wR’.
Where R>r,
There exists a relative speed between them always whose magnitude equals to w (R-r) which is non-zero.
Here w is the angular speed of the disc.
Thus this motion is a pure rotational motion.
Now if the same disc is made to slide on the surface in a particular direction, the relative velocity between any two points lying within the bulk of the disc is zero thus it is a pure translational motion.
In other words, if you fix a coordinate frame to any of the particle on the body, and the orientation of such coordinate frame does not changes with respect to time, it is a translational motion or else rotational motion.
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