Mina. Mi Soledad 2

SOLVED: It is said that Galileo discovered basic principle of the pendulum-that the period is independent of the amplitude- by using his pulse to time the period of swinging lamps in the cathedral as they swayed in the breeze. Suppose that one oscillation of swinging lamp takes 5.5 s How long is the lamp chain? What maximum speed does the lamp have if its maximum angle from vertical is 3.0*?

SOLVED:In 1635 Bonaventura Cavalieri, a student of Galileo, stated the following result, called Cavalieri's principle: If two solids have the same height, and if the areas of their cross sections taken parallel to and at equal distances from their bases are always equal, then the solids have the same volume. Use this result to find the volume of the oblique cylinder in the accompanying figure. (See Exercise 52 of Section 6.1 for a planar version of Cavalieri's principle.)