Name:
David Calderon
TA:
Jie Zhang
Section:
TH 7:359:25
Date:
03/20/09
PROJECTILE MOTION
Abstract:
Galileo observed that pendulums undergo
periodic motion with a period that is
independent of its mass and angular
amplitude less than 15º; rather, their
motion is dependent upon the length of
their rod. Motion of a pendulum can be
expressed in terms of Newton's law of
universal gravitation. By substituting
g
in
equation 1 with a form of
Newton's law of
universal gravitation (equation 2), the
g
of
Earth can can be found and confirm
Galileo's observations of pendulums:
1.
T
= 2
p
L
g
2.
g
=
GM
E
/
R
E
2
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OBJECTIVE
Verify or invalidate that the period of pendulum motion is independent of its mass
and angular amplitude by conducting various experiments with pendulums that
follow periodic motion as expressed with Newton's law of universal gravitation. To
show that periodic motion can be expressed with Newton's laws of universal
gravitation, it is demonstrated by determining the gravitational constant of Earth
using Newton's law of universal gravitation in conjunction with the equation for
periodic motion.
II
PROCEDURE
The equipment in this experiment required an apparatus consisting of an inclined
plane connected to a
a guided track with photogates 1 and 2 at the connecting
and opposite end of the guided track, respectively. The guided track lead to a
drop where a time of flight accessory (called photogate 3 for future reference)
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 Spring '08
 Cavatto
 Force, Mass, Projectile Motion, General Relativity

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