A bead of mass m slides down under the influence of the gravitational force along the linear, rigid and frictionless wire in the figure. The equation for the wire is defined as y = kx, with k being a constant. a) Write the Lagrange of the bead. b) Calculate the acceleration of the bead in the x and y directions. c) Test the accuracy of your results. (Guidance: use the Lagrange unknown multipliers method) y=-kx
A bead of mass m slides down under the influence of the gravitational force along the linear, rigid and frictionless wire in the figure. The equation for the wire is defined as y = kx, with k being a constant. a) Write the Lagrange of the bead. b) Calculate the acceleration of the bead in the x and y directions. c) Test the accuracy of your results. (Guidance: use the Lagrange unknown multipliers method) y=-kx
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Transcribed Image Text:A bead of mass m slides down under the
influence of the gravitational force along the
linear, rigid and frictionless wire in the figure.
The equation for the wire is defined as y = kx,
with k being a constant.
a) Write the Lagrange of the bead.
b) Calculate the acceleration of the bead in
the x and y directions.
c) Test the accuracy of your results.
(Guidance: use the Lagrange unknown
multipliers method)
y
y=-kx
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