This preview shows page 1. Sign up to view the full content.
26. We wish to find the effective spring constant for the combination of springs shown in
the figure. We do this by finding the magnitude
F
of the force exerted on the mass when
the total elongation of the springs is
Δ
x
. Then
k
eff
=
F
/
Δ
x
. Suppose the lefthand spring is
elongated by
Δ
x
A
and the righthand spring is elongated by
Δ
x
r
. The lefthand spring
exerts a force of magnitude
k x
Δ
A
on the righthand spring and the righthand spring exerts
a force of magnitude
k
Δ
x
r
on the lefthand spring. By Newton’s third law these must be
equal, so
ΔΔ
x
x
r
A
=
. The two elongations must be the same and the total elongation is
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Mass

Click to edit the document details