>Two identical uniform thin rods of mass m and length I are hinged together (not with the plane) at ends as shown in diagram. Rods are freely placed over horizontal plane. Now an impulse (J) Parallel to horizontal and perpendicular to rods is provided as shown in diagram. C$_1$ and C$_2$ are the centre of the rods. Choose the correct statement(s).
(A) Velocity of centre of rod 1 (C1) just after the impluse is zero
(B) Angular velocity of rod 1 just after the impluse is zero.
(C) Velocity of hinge point H just after the impluse is zero
(D) Velocity of hinge point H just after the impluse is J/2m.
I tried as
Hence option C is correct .
No I don't get how to solve option A and B .
My told that ' since the connecting point is not trying to movejust after impulse so no force on rod 1 due to rod 2. So $\omega$ and v of rod 1 will be zero. and velocity of COM of rod 2 will be J/m. Velocity of hinge point is zero.'
But I could not understand what he mean by this .