  This research focuses on the interesting physical phenomenon of the bead-hoop
system. The bifurcation can be observed investigating the equilibrium point of
the bead, and nonlinear oscillation also occurs from the bead's motion. This
paper includes the theoretical investigation by setting the quantitative model
and studying pitchfork bifurcation. Also, the equation of motion is derived by
investigating resistance. Three parts of experiments were done and went through
analysis by examining standard error, error of experiment, and the error of
fitting.
