Consider the clock shown in Figure DP2.5. The pendulum rod of length L supports a pendulum disk. Assume that the pendulum rod is a mass less rigid thin rod and the pendulum disc has mass m. Design the length of the pendulum, L, so that the period of motion is 2 seconds. Note that with a period of 2 seconds each "tick" and each "tock" of the clock represents 1 second, as desired. Assume small angles, φ, in the analysis so that sin φ ‰ˆ φ. Can you explain why most grandfather clocks are about 1.5 m or taller?
Figure DP2.5
(a) Typical clock and
(b) Schematic representation of the pendulum.

Transcribed Image Text:

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