The discussion revolves around the concept of the spring constant in relation to the force applied to a spring, specifically whether the spring constant changes with varying forces. The subject area is primarily focused on mechanics, particularly Hooke's Law and the behavior of springs.
The discussion is active, with participants providing insights into the definitions and equations related to spring behavior. There is a mix of interpretations regarding the spring constant and its constancy, with some participants suggesting that it remains constant while others question this assumption. Clarifications about the equations involved are being made, but no consensus has been reached.
Some participants are grappling with the implications of applying different forces to the same spring and the resulting effects on the spring constant. There is also a focus on the linearity of springs and the conditions under which Hooke's Law applies.
What is your reasoning for that? Say it in your own words.Thana said:
Resistance to what? What equation comes to mind that involves the spring constant? What is the definition of each term in this equation?Thana said:
No, F=-kxThana said:
How can the same extension applied to the same spring result in two different forces?Thana said:
Actually F=-kx. The negative sign is important because it says that the force F is always opposite to the displacement x, i.e. the force is restoring.deajohn said:
The value of the spring constant is found experimentally.Thana said:
How can the force change from 2 to 4 if the value of x stays constant? Are you picturing in your mind the spring?Thana said:
Not if by F you mean the magnitude of ##\vec{F}##. The correct expression is ##F_x=-kx##.kuruman said:
"F" in F = - kx is the symbol standing for a one-dimensional vector and can be positive when x < 0 or negative when x > 0. This convention is also the case in other 1-D equations such asMister T said: