What is the mass of spring?
Both springs have the same mass; only the spring constant (k) is different. A spring with a higher spring constant will have a shorter period. This is consistent with the equation for period. 6….Hooke’s Law.
| Mass (kg) | Force on Spring (N) | Amount of Stretch (m) |
|---|---|---|
| 0.400 | 3.920 | 0.0160 |
| 0.500 | 4.900 | 0.0199 |
What is the mass of the ideal spring?
Ideal uniform spring The effective mass of the spring in a spring-mass system when using an ideal spring of uniform linear density is 1/3 of the mass of the spring and is independent of the direction of the spring-mass system (i.e., horizontal, vertical, and oblique systems all have the same effective mass).
What does F =- kX stand for?
This can be expressed mathematically as F= -kX, where F is the force applied to the spring (either in the form of strain or stress); X is the displacement of the spring, with a negative value demonstrating that the displacement of the spring once it is stretched; and k is the spring constant and details just how stiff …
What is the maximum displacement of a spring?
Maximum displacement is the amplitude A. The angular frequency ω , period T, and frequency f of a simple harmonic oscillator are given by ω=√km ω = k m , T=2π√mk,andf=12π√km T = 2 π m k , and f = 1 2 π k m , where m is the mass of the system and k is the force constant.
What is spring mass model?
A simple spring-mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed. The bouncing mechanism itself results in a confinement of the free parameter space where solutions can be found.
Why is KX negative?
Why is there a negative in F =- kx? The coordinate of displacement x is negative when the spring is compressed, zero when the spring is of the natural length, and x is positive when the spring is extended. When the spring is compressed x is negative and a positive restoring force F is required to extend it.