Question

2 baskets of mass M and 2M attached to ends of massless rod length D , they are in static equilibrium, a ball is thrown into the M basket with the ball mass being 2M and the 2M basket has an M ball thrown into it calclate the angular velocity immediatly

Answer 1

$$I\omega=2mv\frac{1}{2}d-mv\frac{1}{2}d=\frac{1}{2}mvd\\ \left(\frac{1}{2}d\right)^2(2M+M+2m+m)\omega=\frac{1}{2}mvd\\ \omega=\frac{2mv}{3(m+M)d}$$