Hooke’s Law
Tommy Nguyen
10/23/07
Abstract
Introduction:
Hooke’s Law is very well known because it turns out to be a useful
description of the behavior of springs made of steel, brass, and other commonly used
metals and alloys over a fairly wide range of extensions or elongations of the springs.
This law states that the elongation of a spring is proportional to the applied stretching
force. The stretching on the force is then given by:
F
applied
= k
x
where
F
applied
is the force applied to the spring
,
and
x
is the elongation of the spring as
measured from some equilibrium position. The elongation points in the direction of the
applied force and its magnitude is equal to the change of length. The positive definite
quantity
k
is called the spring constant. It is a measure of the stiffness of the spring.
Theoretically, the period for the oscillating system is given by:
T
= 2
π
(
M+(m/2)
/
k
)
1/2
where M is the total mass load in oscillation (weight hanger + masses), m is the mass of
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 None
 Physics, Force, Mass

Click to edit the document details