- #1
shankarrg
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Bead is at rest on a thin rod pivoted at one end. Bead is about a cm from the pivoted end of the rod. Rod now starts rotating with an uniform angular velocity w rad/sec.
1.What curve does the bead trace from the point of view of an inertial observer?
Here what i think... solution of the differential equation m*d^2(r)/dt^2= mrw^2
In the radial direction
r=Ae^(-wt)+Be^(-wt) , where A and B can be found out by the initial conditions. A=a/2, B=a/2
and in angular direction, theta =w*t
I think the curve would be cycloid. How to infer cycloid from the above equation
Regards
shankar
1.What curve does the bead trace from the point of view of an inertial observer?
Here what i think... solution of the differential equation m*d^2(r)/dt^2= mrw^2
In the radial direction
r=Ae^(-wt)+Be^(-wt) , where A and B can be found out by the initial conditions. A=a/2, B=a/2
and in angular direction, theta =w*t
I think the curve would be cycloid. How to infer cycloid from the above equation
Regards
shankar