Synthesis Problem: A solid wooden cube of side length 2a and mass M rests on a h

Question

Synthesis Problem:

A solid wooden cube of side length 2a and massM rests on a horizontal surface. The cube is constrained to rotate about afixed axis AB. A bullet of mass m and speed is fired at the opposite sideat height 4a/3 above the horizontal surface. The bullet becomesembedded in the cube.Find the minimum value of v required to tip the cube over, so that it fallson face ABCD.

Express your answer in terms of a, m, and M. Assumethat m is small enough, compared to M, that it does not change therotational inertia or center of mass of the cube after it embeds.Suggestions: This synthesis problem has similarities to the ballistic pendulum, involving an angularmomentum conservation step (explain WHY) and an energy conservation step.

Explanation / Answer

FOLLOW THIS

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.