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Forced damped pendulum


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I have a rather ambitious student who, for a Senior project, is attempting to
analyze the motion of a driven damped pendulum. We have gone through the more
simple case of a mass on a spring found in most texts.

He has developed a 2nd order differential (using Newton's 2nd law) to describe the
motion and is now attempting to solve it. Does anyone have any ideas for arriving
at a mathematical expression for the pendulum's angular displacement as a function
of time? (I have plenty of ideas, but won't bore you with the details ... yet.)

- Jim


_ . . _ _ _ _ . . . _ . . . _ _
James A. Currie Weston High School
curriej@meol.mass.edu Science Department
Phone (781) 899-0620 x7146 444 Wellesley St.
Fax (781) 647-1851 Weston, MA 02193


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<HTML>
I have a rather ambitious student who,&nbsp; for a Senior project,&nbsp;
is attempting to analyze the motion of a driven damped pendulum.&nbsp;
We have gone through the more simple case of a mass on a spring found in
most texts.

<P>He has developed a 2nd order differential (using Newton's 2nd law) to
describe the motion and is now attempting to solve it.&nbsp; Does anyone
have any ideas for arriving at a mathematical expression for the pendulum's
angular displacement as a function of time?&nbsp; (I have plenty of ideas,&nbsp;
but won't bore you with the details ... yet.)

<P>- Jim
<BR>&nbsp;

<P><TT>_ . . _ _ _ _ . . . _ . . . _ _</TT>
<BR><TT>James A. Currie&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Weston High School</TT>
<BR><TT>curriej@meol.mass.edu&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Science
Department</TT>
<BR><TT>Phone (781) 899-0620 x7146&nbsp; 444 Wellesley St.</TT>
<BR><TT>Fax (781) 647-1851&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Weston, MA 02193</TT>
<BR>&nbsp;</HTML>

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