A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about a fixed axis AB (Fig. P11.64). A bullet of mass mand speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m<< M. C 2a D 4a 3 B A Figure P11.64

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64. A solid cube of wood of side 2a and mass M is resting
on a horizontal surface. The cube is constrained to
rotate about a fixed axis AB (Fig. P11.64). A bullet of
mass mand speed v is shot at the face opposite ABCD at
a height of 4a/3. The bullet becomes embedded in the
cube. Find the minimum value of v required to tip the
cube so that it falls on face ABCD. Assume m<< M.
C
2a
D
4a
3
A
Figure P11.64
Transcribed Image Text:64. A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about a fixed axis AB (Fig. P11.64). A bullet of mass mand speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m<< M. C 2a D 4a 3 A Figure P11.64
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