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A ball is attached to a string hanging from the ceiling, forming a pendulum. The mass of the string is negligible compared with the mass
A ball is attached to a string hanging from the ceiling, forming a pendulum. The mass of the string is negligible compared with the mass of the ball. At time t = 0 s, the pendulum is shifted from the vertical by an angle Theta = Theta0 and then let go, starting from rest. The angle Theta0 is quite small, so that the approximation sin Theta ~Theta is excellent. Which of the statements below is most correct? Answer choices: a) If the length of the string is quadrupled, the period of oscillation doubles. b) The period of oscillation is proportional to Theta0, so that if this angle is doubled, the time it takes for the pendulum to complete an oscillation also doubles. c) The period of oscillation is proportional to the square root of the acceleration of gravity. d) The period of oscillation is inversely proportional to the square root of the mass attached to the string. e) The period of oscillation is proportional to the square root of the mass attached to the string
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