Uncle Toby improvises a metronome to help time the rotisserie turkey. He uses a thin uniform rod of mass M and length L that rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d from the end of the rod as shown in the Figure. The kinetic energy of the rod as it passes through the vertical position is K. (a) What is the rotational inertia of the rod about axis A? (b) What is the (linear) speed of the end B of the rod as the rod passes through the vertical position? (c) At what angle 0 will the rod momentarily stop in its upward swing? Give your answers in term of M, L, d, K & g.

Uncle Toby improvises a metronome to help time the rotisserie turkey. He uses a thin uniform rod of mass M and length L that rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d from the end of the rod as shown in the Figure. The kinetic energy of the rod as it passes through the vertical position is K. (a) What is the rotational inertia of the rod about axis A? (b) What is the (linear) speed of the end B of the rod as the rod passes through the vertical position? (c) At what angle 0 will the rod momentarily stop in its upward swing? Give your answers in term of M, L, d, K & g.