Qn. on general rotational mechanics

[manogna08]

Homework Statement

a uniform rod of mass m nd length 2l lies on smooth horizontal surface. a particle of mass m is connected to a string of length l whose other end is connected to one of the ends of the rod. initially string is taut and both string and rod lie in same plane with 90 angle b/w them. if particle is given velocity v perpendicular to string, then jus after givin velocity find tension in string and angular acceleration of rod.

Homework Equations

The Attempt at a Solution

i tried using ζ = Iα about centre of mass but could not succeed..pleasez help...

 

[lewando]

I would think that when the velocity was imparted to the particle, since is it attached to the rod via a string (assumed inextensible, otherwise it's a spring) then the same velocity would be imparted to the end of the rod.

 

[haruspex]

I would think that when the velocity was imparted to the particle, since is it attached to the rod via a string (assumed inextensible, otherwise it's a spring) then the same velocity would be imparted to the end of the rod.

No, the particle is driven perpendicularly to the string.
Always start by creating some names for unknowns that might be relevant:
T = tension
α = angular acceleration of rod
a = linear acceleration of rod.
Then draw the free body diagram and try to write down some equations using the conservation laws. Post whatever you come up with.

 

[lewando]

That makes for a more interesting problem. Reading is fundamental .