please answer only part c from this question A bead of mass m slides without friction on a straight wire. The wirerotates with constant velocity w around the origin in the x-y plane asshown in the figure to the right. The distance from the origin to thebead is r(t). There are no external forces.mr(1)8 = wt(a) Determine the Lagrangian for this bead and its equation ofconstraint.(b) Eliminate the constraint and determine the Lagrange's equations of motion for thebead.(c) Write the Lagrange's equation with undetermined multipliers and determine theconstraint force.

According to lagrane’s equation L=T-V T= kinetic energy V= potential energy T= ½ mvr2 + ½ mvθ2 = 1/2…

A bead of mass m slides without friction on a straight wire. The wire rotates with constant velocity w around the origin in the x-y plane as shown in the figure to the right. The distance from the origin to the bead is r(t). There are no external forces. m r(1) e = wt (a) Determine the Lagrangian for this bead and its equation of constraint. (b) Eliminate the constraint and determine the Lagrange's equations of motion for the bead. (c) Write the Lagrange's equation with undetermined multipliers and determine the constraint force.

A bead of mass m slides without friction on a straight wire. The wire rotates with constant velocity w around the origin in the x-y plane as shown in the figure to the right. The distance from the origin to the bead is r(t). There are no external forces. m r(1) e = wt (a) Determine the Lagrangian for this bead and its equation of constraint. (b) Eliminate the constraint and determine the Lagrange's equations of motion for the bead. (c) Write the Lagrange's equation with undetermined multipliers and determine the constraint force.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

please answer only part c from this question

A bead of mass m slides without friction on a straight wire. The wire
rotates with constant velocity w around the origin in the x-y plane as
shown in the figure to the right. The distance from the origin to the
bead is r(t). There are no external forces.
m
r(1)
8 = wt
(a) Determine the Lagrangian for this bead and its equation of
constraint.
(b) Eliminate the constraint and determine the Lagrange's equations of motion for the
bead.
(c) Write the Lagrange's equation with undetermined multipliers and determine the
constraint force.

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