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From this mechanical part (attached), I need to derive a differential equation relating mass 'x' position to hinge 'y' position.
[itex]\ddot{x}m + b\dot{x} + cx = F[/itex]
The link l would be rotating. I am confused about considering the displacement of x with reference to y. Would this change the differential equation by replacing x with (xy) ?
I derived an equation to relate 'y' with [itex]\theta[/itex] ;
[itex]y = lsin(\theta)[/itex]
Finally I also need to derive a differential equation from the previous two to relate the loading torque on the shaft for some rotation theta.
[itex]\tau = (\ddot{x}m + b\dot{x} + cx)lcos(\theta)[/itex]
I would really appreciate if you can give me some hints on my work. thanks
[itex]\ddot{x}m + b\dot{x} + cx = F[/itex]
The link l would be rotating. I am confused about considering the displacement of x with reference to y. Would this change the differential equation by replacing x with (xy) ?
I derived an equation to relate 'y' with [itex]\theta[/itex] ;
[itex]y = lsin(\theta)[/itex]
Finally I also need to derive a differential equation from the previous two to relate the loading torque on the shaft for some rotation theta.
[itex]\tau = (\ddot{x}m + b\dot{x} + cx)lcos(\theta)[/itex]
I would really appreciate if you can give me some hints on my work. thanks
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