Unizor - Physics4Teens - Mechanics - Dynamics - Spring Oscillation
Channel: Zor Shekhtman on UNIZOR Education
Date: 2018-07-17

Unizor - Physics through a Looking Glass of Mathematician

Notes to a video lecture on http://www.unizor.com

Spring

Consider a point-object of mass m, hanging vertically at the lower end of a weightless spring, that is fixed at the upper end. Under the weight of this object a spring will stretch a little from its neutral position.

The Hook's Law for a spring, which will be used to solve this problem, involves a spring's elasticity constant k, that we assume is given.

Let's stretch this spring even more, so that the distance between an object at its bottom and a spring's neutral level is L and let it go without any push.

Our task is to analyze the oscillation of the object as a function x(t) of its vertical deviation from a spring's neutral position.