Question: DP2.5 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
DP2.5 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 massless 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, w1t2, in the analysis so that sin w1t2 L w1t2. Can you explain why most grandfather clocks are about 1.5 m or taller?

"tick" "tock" 1 second later... FIGURE DP2.5 (a) Typical clock (photo courtesy of Science and Society/ SuperStock) and (b) schematic representation of the pendulum. Pendulum rod 9(1) Pendulum disk m m g (b) g -p(1)
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