Question

A rigid hoop of radius R and mass mR is lying on a horizoutal frictionless table and pivoted at the point P (shown in the figure below). A point-like object of mass m is moving to the right with speed collides elastically with the hoop at its midpoint. After the collison, the object is moving with an unknowu speed to the left and the hoop rotates couuterclockwise about its pivot point with angular speed wy - The momeut of inertia of a hoop for axis through the center of mass and perpendicular to the plane of the hoop isaR Before After 4-O What is the speed of the object immediately after the collision? Express your answer in tems of R, , adas eeded do not use in your answer) I need someone to clearly workout this problem. Please do not use w_f in the final solution. THANKS.

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