is it √7u
in the given figure find the velocity of the cylinder. assume the cylinder remains in touch with the wedges. all surfaces are frictionless.

UP 0 DOWN 0 0 5
5 Answers
use relative velocity concept.
suppose the left wedge is at rest.
then calculate remaining velocities
finally convert it to velocity w.r.t. ground
Just Exaggerating what Aditya Said :
Sit on the Wedge L (for Left) and Observe: You see that the R (for Right) Wedge is moving away with the velocity ' 3u ' m/s. Now resolving this velocity along the incline and then along the xy axes, we can get the velocity of the sphere as :
V _{sa} = 3u i  3√u j
Coming back to the ground frame, Va =  u i
So V_{ sg} = V _{s L} + V _{L}
Putting we have V _{sg} = 2u i  √3 u j =>  V _{sg}  = √7 u
Notations : sg  Sphere w. r .t ground  l  Wedge L
 Anonymous hey there!!! liked the way of ur thinkin'........................but can u solve it using wedge constraint??Upvote·0·20150124 01:07:43