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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, φ in the analysis so the sin φ ≈φ. Can you explain why most grandfather clocks are about 1.5 m or taller?
For any set F and point x in a metric space recall that d(x, F ) := inf{d(x, y): y ∈ F }. Let F be a closed set in a normed linear space S with the usual distance d(x, y) := x - y . Show that d(·, F ) isa convex function ..
according to the texas department of state health services there are approximately 17.7 million adults age 18 living in
The Boston Transit Authority wants to determine whether there is any need for changes in the frequency of service over certain bus routes.
Iindependently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model?
What is the z score equivalent of ANGST = 81? What is the probability that someone selected at random will score 81 or lower? What percentage of all trainees will score between 60 and 75?
in a recent survey 344 ceos of medium and large companies were asked whether they had mba degrees. in the sample 97 had
There is concern about the percent of on-time flights. A recent survey of two major airlines yielded the following results. At α = 0.05 test the claim that there is a difference in proportions of on-time flights.
during a recent year the average cost of making a movie was 54.8 million. this year a random sample of 15 recent action
a committee of eight members is to be formed from a group of eight men and eight women. assume people from the group
Sam's Club installed self-checkout stations that can track not only member's purchases but also packaging problems, as the system uses universal product codes to match the item the shopper has in their cart with its price and inventory level in th..
The closing price of a company's stock tomorrow can be lower, higher or the same as today's closed. Without any prior information that may affect the price of the stock tomorrow, the probability that it will close higher than today's close is 1/3
A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
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