How to get the constraint equation of this problem

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The discussion centers on deriving the constraint equation for a particle moving in the xy-plane, where its velocity vector is directed towards a point on the x-axis defined by a differentiable function f(t). Participants confirm that this constraint is nonholonomic due to the nature of the velocity vector's dependence on the time-varying function. The challenge lies in expressing this relationship mathematically, which has proven difficult for some users, indicating the complexity of the topic.

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A particle moves in the xy plane under the constraint that its velocity vector is always directed towards a point on the x-axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is nonholonomic.
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it have cost me 3 hours,but i cann't write out the constraint equation :confused: .
help
thanks
 
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goodboy said:
A particle moves in the xy plane under the constraint that its velocity vector is always directed towards a point on the x-axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is nonholonomic.
--------------------------------------------
it have cost me 3 hours,but i cann't write out the constraint equation :confused: .
help
thanks

https://www.physicsforums.com/showthread.php?t=138432&highlight=holonomic
 

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