Is the Constraint Holonomic in This Situation?

[Pushoam]

Homework Statement

Homework Equations

The Attempt at a Solution

The smallest distance between the bead's surface and the wire's surface is always constant and it can be expressed as an equation of coordinates. So, this is a holonomic constraint.

Is this correct?

 

[tnich]

Homework Statement

View attachment 222099

Homework Equations

The Attempt at a Solution

The smallest distance between the bead's surface and the wire's surface is always constant and it can be expressed as an equation of coordinates. So, this is a holonomic constraint.

Is this correct?

The wire moves through space in a complicated way. How do you interpret that? Can you ignore the motion of the wire in space? If you assumed a reference frame at rest with respect to the wire, could you ignore the effects of the wire's acceleration on the motion of the bead? Can you express the motion of the wire as a zeroth order differential equation?