5.4✶✶ An unusual pendulum is made by fixing a string to a horizontal cylinder of radius R, wrapping the string several times around the cylinder, and then tying a mass m to the loose end. In equilibrium the mass hangs a distance / vertically below the edge of the cylinder. Find the potential energy if the pendulum has swung to an angle & from the vertical. Show that for small angles, it can be written in the Hooke's law form U ko2. Comment on the value of k. =
5.4✶✶ An unusual pendulum is made by fixing a string to a horizontal cylinder of radius R, wrapping the string several times around the cylinder, and then tying a mass m to the loose end. In equilibrium the mass hangs a distance / vertically below the edge of the cylinder. Find the potential energy if the pendulum has swung to an angle & from the vertical. Show that for small angles, it can be written in the Hooke's law form U ko2. Comment on the value of k. =
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Transcribed Image Text:5.4✶✶ An unusual pendulum is made by fixing a string to a horizontal cylinder of radius R, wrapping
the string several times around the cylinder, and then tying a mass m to the loose end. In equilibrium
the mass hangs a distance / vertically below the edge of the cylinder. Find the potential energy if the
pendulum has swung to an angle & from the vertical. Show that for small angles, it can be written in
the Hooke's law form U ko2. Comment on the value of k.
=
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