"A tall, cylinder-shaped chimney falls over when its base is ruptured. Treat the chimney as a thin rod of length H, and let theta be the angle the chimney makes with the vertical. In terms of these symbols and g, express the following:
(a) the angular speed of the chimney, (b) the radial acceleration of the chimney's top, and (c) the tangential acceleration of the top. (d) At what angle theta does the tangential acceleration equal g?"
a) frac{g}{H}, frac{g}{H}, frac{g}{H}, frac{g}{H}
b) frac{g}{H}, g, g cdot cos(theta), frac{pi}{2}
c) sqrt{frac{g}{H}}, frac{g}{H}, g cdot sin(theta), frac{pi}{4}
d) sqrt{frac{g}{H}}, g cdot sin(theta), g cdot cos(theta), frac{pi}{2}