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A tee consisting of two thin rods each having a mass of M and with lengths L1 and L2, respectively is hanging vertically from an axel so that it is free to rotate about this axis of rotation. The figure shows that this axis is perpendicular to plane which the tee lies and located at the top end of the vertical rod.
a) What is the moment of inertia of this structure? A clay ball of mass m is observed moving at a constant speed v0 toward the tee. The clay ball collides with the tee and sticks to it right at the junction of two rods.
b) Find the rotational velocity of the tee-clay ball combination just after the collision. After the collision, the rods pivot about the top point through angle phi before momentarily stopping. Find phi.
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