Static vs Dynamic: Finding Force of Tension

[ys2050]

What is the difference between figuring out the force of tension in the string using the static and the dynamic method??
We did a lab where a toy pig was hung from the ceiling with a string and when we turned the pig on the wings moved and traveled in a circle...

In the dynamic case, we just measured the radius to get the angle and find the force of tension.
In the static case, we used a spring scale, hooked it onto the hook where the pig is attached to the string, and pulled it horizontally to its radius. With the horizontal force we were able to find the force of tension in the string.

What are the differences between these two methods?? Why is one called static and the other, dynamic?

 

[Doc Al]

What are the differences between these two methods??

It's not obvious to me why there should be any difference. Perhaps one method provides more of an opportunity for experimental error to creep in.

Why is one called static and the other, dynamic?

That's an easy one: In one case the pig is moving (dynamic), and in the other case it is not.

(Please do not create multiple threads on the same topic.)

 

[sir-pinski]

The main difference between the static and dynamic methods of finding the force of tension is the approach used. In the static method, we are looking at the system at a specific moment in time, when the pig is hanging still. This allows us to use equations and principles of statics, where the forces are balanced and the object is in equilibrium.

On the other hand, the dynamic method involves looking at the system while it is in motion. In this case, the pig is moving in a circular motion and we need to consider the force of tension as a centripetal force, which is responsible for keeping the pig in its circular path. This method requires us to use equations and principles of dynamics, such as Newton's laws of motion.

The reason why one method is called static and the other is called dynamic is because they are based on different physical concepts. Statics deals with objects at rest or in equilibrium, while dynamics deals with objects in motion. In the case of the toy pig, the static method is used to find the force of tension when the pig is hanging still, while the dynamic method is used to find the force of tension while the pig is in motion.

Overall, both methods have their own advantages and limitations. The static method is simpler and more straightforward, but it can only be used when the object is in equilibrium. The dynamic method, on the other hand, can be used for objects in motion, but it requires a deeper understanding of principles of dynamics. In conclusion, the choice between using the static or dynamic method to find the force of tension depends on the specific situation and the information available.