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A device consists of 8 balls with mass .6kg attached to the ends of low mass...

A device consists of 8 balls with mass .6kg attached to the ends of low mass spokes of length 1.8m, so that radius of rotation is .9m. it's held in a verticasl plane,frictionles axle. A lump of clay falls and sticks to one of the balls when the spoke attatched to the ball is at 45 degrees to the horizonal. Just before im pact the clay mass has speed of 5m/s, and the wheel is rotating counter clockwise with an angular spweed of .07 radians/s.Just before impact what is the angular momentum of the combined system of the device plus the clay around the center.

The answer is in vector form, with x and y both being 0

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