This preview shows page 1. Sign up to view the full content.
14.64.
Model:
Assume the smallangle approximation.
Visualize:
Solve:
The tension in the two strings pulls downward at angle
.
θ
Thus Newton’s second law is
2s
i
n
y
y
FT
m
a
=−
=
∑
From the geometry of the figure we can see that
22
sin
y
L
y
=
+
If the oscillation is small, then
yL
±
and we can approximate sin
/ .
≈
Since
y
/
L
is tan ,
this
approximation is equivalent to the smallangle approximation sin
tan
≈
if
1 rad.
±
With
this
approximation, Newton’s second law becomes
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at University of Georgia Athens.
 Fall '09
 geller

Click to edit the document details