\documentclass[convert=true,convert={convertexe={convert},density=1200,outext=.png}]{standalone}

\input{figsDefs.tex}

\begin{document}
	
\begin{tikzpicture}%
	% objet x=2*sin(2*pi*t),y=2*(t*(t-1)*exp(2*t))*cos(2*pi*t)
	\shorthandoff{:}
	%\draw[thick] plot[parametric,id=temp,smooth,domain=0:1,samples=30] function{2.9*sin(2*pi*t),3.5*(t*(t-1)*exp(1*t))*cos(2*pi*t)};
	\draw[thick] plot[parametric,id=temp,smooth,domain=0:1,samples=30] function{2*sin(2*pi*t),2*(t*(t-1)*exp(2*t))*cos(2*pi*t)};
	\shorthandon{:}
	%\foreach \valT in {0.03,0.08,...,1} {
		%\foreach \valT in {0.05,0.1,...,1} {
			\foreach \valT in {0.04,0.09, 0.14, 0.24, 0.33, 0.37, 0.42, 0.47, 0.52,
				0.57, 0.63, 0.70, 0.78, 0.89, 0.95, 0.99} {
				%\pgfmathsetmacro{\valT}{0.2};
				%\pgfmathsetmacro{\valX}{2.9*sin(2*pi*\valT*180/pi)};
				\pgfmathsetmacro{\valX}{2*sin(2*pi*\valT*180/pi)};
				\pgfmathsetmacro{\valY}{2*(\valT*(\valT-1)*exp(2*\valT))*cos(2*pi*\valT*180/pi)};
				%\pgfmathsetmacro{\valY}{3.5*(\valT*(\valT-1)*exp(1*\valT))*cos(2*pi*\valT*180/pi)};
				\pgfmathsetmacro{\dotX}{2*2*pi*cos(2*pi*\valT*180/pi)};
				%\pgfmathsetmacro{\dotY}{3.5*((2*\valT-1)*exp(1*\valT)*cos(2*pi*\valT*180/pi)+(\valT*\valT-\valT)*(2*cos(2*pi*\valT*180/pi)-2*pi*sin(2*pi*\valT*180/pi))*exp(1*\valT))};
				\pgfmathsetmacro{\dotY}{2*((2*\valT-1)*exp(2*\valT)*cos(2*pi*\valT*180/pi)+(\valT*\valT-\valT)*(2*cos(2*pi*\valT*180/pi)-2*pi*sin(2*pi*\valT*180/pi))*exp(2*\valT))};
				\pgfmathsetmacro{\normPerp}{sqrt((\dotX)^2+(\dotY)^2)*3}
				\pgfmathsetmacro{\perpX}{-\dotY/\normPerp}
				\pgfmathsetmacro{\perpY}{\dotX/\normPerp}
				\path (\valX,\valY) node[coordinate] (P) {};
				%\draw[blue] (P) circle (0.05);
				\draw[->,>=latex,thick,forceCol] (P) -- +(\perpX,\perpY);
			};
			\draw[forceCol] (P) node[above right, pos=0.2] {$\!\!\!\!\!\Delta\vec{F}$};
		\end{tikzpicture}%

\end{document}