Where F is the force exerted on the spring, k is the spring constant and x is the displacement. Thus we get three equations: First equate equations 2 and 3 and . Simple Harmonic Motion - GSU The mass m in kg & the spring constant k in N.m -1 are the key terms of this calculation. It wants the string to come back to its initial position, and so restore it. The variables of the equation are F, which represents force, k, which is called the spring constant and measures how stiff and strong the spring is, and x, the distance the spring is stretched or compressed away from its equilibrium or rest position.\r\n\r\nThe force exerted by a spring is called a restoring force; it always acts to restore the spring toward equilibrium. Hooke's Law and Simple Harmonic Motion - WebAssign To the right? The spring constant shows how much force is needed to compress or extend a spring (or a piece of elastic material) by a given distance. In order to figure out how to calculate the spring constant, we must remember what Hookes law says: Now, we need to rework the equation so that we are calculating for the missing metric, which is the spring constant, or k. Looking only at the magnitudes and therefore omitting the negative sign, you get, The springs used in the shock absorbers must have spring constants of at least 4,900 newtons per meter. A force of 16 N is required to stretch a spring a distance of 40 . The work-energy theorem is certainly the easiest way to do the problem, but you can also solve it by calculating the force. Hooke's law - University of Tennessee Hookes law is valid as long as the elastic material youre dealing with stays elastic that is, it stays within its elastic limit. If you call the equilibrium position of the end of the spring (i.e., its natural position with no forces applied) x = 0, then extending the spring will lead to a positive x, and the force will act in the negative direction (i.e., back towards x = 0).
Lamotta Vs Cerdan, Alamogordo Daily News Obituaries, Articles H
Lamotta Vs Cerdan, Alamogordo Daily News Obituaries, Articles H
Share this