Einstein
Temporal Engineer
Earthmasque
I believe the correct term to use would be a Gedanken experiment. And you seem to be expressing your opinion about the experiment.
But lets go on...
You are incorrect. You have to use Newton's Laws of motion here. Once the string is cut, the weight continues to move in a straight line at a constant velocity. That is exactly what I show to be happening in the sketch. The centrifugal force goes to zero at the instant the string is cut. I'm not deviating from any physical observations that we know will happen.
All the hypotenuse calculations are made after the string is cut. The hypotenuse is actually the radius between the the moving weight and the center.
Your statement is exactly what is taught in school. Yet I just clearly showed there is an acceleration going on between the center point and the moving weight after the string is cut. Now this is a technicality that is the issue here. There is no acceleration going on between the point of departure and the weight after the string is cut. Just so we are clear that there are two paths of motion here. This is my whole point for this dissertation. The Pythagorean theorem makes this possible. And it is an excellent analytical tool.
Force can and does exist without acceleration. Try pushing on a wall as an example of this. Centrifugal force has this property too. It only exists as long as the radial connection to the center of rotation is not changing in length. And I might disagree that centrifugal force is an inertial force.
There is something i would like to state. I'm not trying to bully you. I'm just trying to teach you an analytical approach I used to investigate centrifugal force. I'm not a professional teacher either. So if I've failed in my attempt to get you to understand this approach to comprehension, then we'll just have to leave it at that.
You plotted a fantasy trajectory against time. Garbage in, garbage out:
I believe the correct term to use would be a Gedanken experiment. And you seem to be expressing your opinion about the experiment.
But lets go on...
Note the path of the weight after the string is cut. What you show in your sketch is perpendicular to the actual path, which would be along what you label above as the Y-axis above.
You are incorrect. You have to use Newton's Laws of motion here. Once the string is cut, the weight continues to move in a straight line at a constant velocity. That is exactly what I show to be happening in the sketch. The centrifugal force goes to zero at the instant the string is cut. I'm not deviating from any physical observations that we know will happen.
You forgot that the hypotenuse (I assume it is the rope) is undergoing tension. In other words, you are pulling on it.
All the hypotenuse calculations are made after the string is cut. The hypotenuse is actually the radius between the the moving weight and the center.
No, there's no acceleration after the string is cut. The only acceleration is before the string is cut and it is provided by you.
Your statement is exactly what is taught in school. Yet I just clearly showed there is an acceleration going on between the center point and the moving weight after the string is cut. Now this is a technicality that is the issue here. There is no acceleration going on between the point of departure and the weight after the string is cut. Just so we are clear that there are two paths of motion here. This is my whole point for this dissertation. The Pythagorean theorem makes this possible. And it is an excellent analytical tool.
Acceleration means a change in velocity. A change in direction is a change in velocity. You are changing the direction of the weight by accelerating it toward the center of rotation. The weight's inertia causes an opposite but equal force - third time now I've said that. It is the reaction force to the action force you apply at your end of the string.
Force can and does exist without acceleration. Try pushing on a wall as an example of this. Centrifugal force has this property too. It only exists as long as the radial connection to the center of rotation is not changing in length. And I might disagree that centrifugal force is an inertial force.
There is something i would like to state. I'm not trying to bully you. I'm just trying to teach you an analytical approach I used to investigate centrifugal force. I'm not a professional teacher either. So if I've failed in my attempt to get you to understand this approach to comprehension, then we'll just have to leave it at that.