Physics - Rotation Question with Solution | TestHub

A solid wooden cube of side $l$ and mass $M$ is resting on a horizontal table, as shown in the figure, The cube is constrained to rotate about an axis through D and perpendicular to the face ABCD . A bullet of mass m moving with speed v strikes the block at a height $\frac{21}{3}$ as shown. Let the line along which the bullet moves be in the plane passing through the centre of mass of the block and parallel to the face ABCD . If the minimum value v that topples the block is $\frac{M}{m}{\left[xgl\left(\frac{\sqrt{2}-1}{2}\right)\right]}^{1/2}$, then find x . Assume bullet comes to rest after collision.