A pendulum of mass m and length L is formed of a light rigid rod and a point body of mass M. The pendulum is attached to rotational light spring of variable stiffness, Kt =ecwhere c is a constant. The variable is Ø. Assume ww. large displacement (0SØST) Use the energy method to ww derive its non-liner mathematical model.Include the effect of the gravity ,g. Light non-linear rotational spring of stiffness K, - e(co) Point mass, M Light rigid rod he VI

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Please show the X and Y axis

find U , U=KE + PE

then the mathematical model

A pendulum of mass m and length L is formed of a light
rigid rod and a point body of mass M. The pendulum is
attached to rotational light spring of variable stiffness
Kt =ecwhere c is a constant. The variable is Ø. Assume
ww.
large displacement (0<ØSTT) Use the energy method to
derive its non-liner mathematical model.Include the
effect of the gravity ,g.
ww
Light non-linear rotational spring of stiffness K, = e(co)
Point mass, M
Light rigid rod
he
ar
Transcribed Image Text:A pendulum of mass m and length L is formed of a light rigid rod and a point body of mass M. The pendulum is attached to rotational light spring of variable stiffness Kt =ecwhere c is a constant. The variable is Ø. Assume ww. large displacement (0<ØSTT) Use the energy method to derive its non-liner mathematical model.Include the effect of the gravity ,g. ww Light non-linear rotational spring of stiffness K, = e(co) Point mass, M Light rigid rod he ar
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