1.- A particle of mass m is restricted to move without friction inside a circular hoop of radius r and mass m, the hoop can roll in the x direction and does not lose contact with the ground, gravity is towards the negative Y axis in time equal to 0 assumes that the hoop is at rest and the particle is at maximum height with velocity V0 in the x-axis direction, what is the final velocity with respect to the fixed axis when the particle reaches the bottom of the hoop? remember that a hoop has moment of inertia mr^2