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Question
Define second’s pendulum.
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Solution
A simple pendulum whose period of oscillation is exactly two seconds is called a second’s pendulum.
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Answer in brief.
State the law of simple pendulum.
A simple pendulum performs S.H.M. of period 4 seconds. How much time after crossing the mean position, will the displacement of the bob be one-third of its amplitude.
Obtain an expression for a time period of the simple pendulum.
A simple pendulum of length L has mass m and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)
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Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulums is ______.
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The length of a seconds pendulum is 1m on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the second's pendulum on the planet will be ______
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Derive a formula for the length of second's pendulum.
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The equation of motion in differential form for a seconds pendulum is ______.
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A simple pendulum is used to investigate the dissipation of energy. Which quantity is plotted against time to analyse this dissipation?
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A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is 90 cm. The period of oscillations of the sphere is ______. (g = 10 ms−2)
