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The "Amusing Spiderguy" (mass m = 60 kg) hangs from his web, which is attached to a thin, horizontal beam (mass M = 100 kg). (See illustration below.) One end of the beam is attached to the side of a building by a hinge that can freely rotate, and the other end is secured by a cable that makes an angle θ = 60?to the beam. The beam's length L = 6.0 m, and Spiderguy hangs a horizontal distance x = 2.0 m from the building. (a) Determine the tension in the cable attached to the right end of the beam and (b) the x- and y-components of the force of the hinge on the beam. The cable affixed to the right side of the beam then snaps, so the beam begins to rotate about the hinge on its left side. (c) Find the downward acceleration of Spiderguy just after the cable snaps and (d) the tension in Spiderguy's web, also, just after the cable snaps. Take care identifying the forces acting on the beam and the forces acting on Spiderguy just after the cable snaps. Also be careful relating the acceleration of Spiderguy to the angular acceleration of the beam. The moment of inertia of a stick rotating about its end is (1/3)ML2.
The American Bankers Association collects data on the use of credit cards, debit cards, personal checks, and cash when consumers pay for in-store purchases (The Wall Street Journal, December 16, 2003). In 1999, the following usages were reported.
Find the confidence interval for the population proportion.
The repeated-measures analysis of variance can be viewed as a two-stage process. What is the purpose for the second stage? Compare the repeated-measures analysis of variance with the regular ANOVA.
The moment generating function for a random variable X is MX(t) = eat+ßt2/2. Find the mean and variance of X.
Find the probability for each of the simple events in the sample space. (Hint: A tree diagram may help you solve this.)- Find the probability distribution function for X.
Bus105 computing assignment - perform a suitable analysis on the investor data Your analysis should include a suitable hypothesis test to investigate the relationship
In a sample of 100 tubes inspected, 12 were found to be defected. Find a 95% confidence interval for th true proportion of defectives in the entire population
Statistical aptitude scores are known to be normally distributed, with mean = 50. A researcher has designed a new program intended to improve students statistical aptitude, and has enrolled a sample of 30 students in it.
beverly mills has decided to lease a hybrid car to save on gasoline expenses and to do her part to help keep the
Suppose we are interested in mean decay rate of a compound in the Mill River. Determine the mean decay rate is greater than 3.0 per day. When you test a random sample of size 15, the sample mean decay rate is 3.15. If an assumed known standard dev..
Make a worksheet in Excel for your calculations. (b) Make a histogram of the data. Would you be justified in using a parametric t test that assumes normality?
The mean time between failures (MTBF) of a hydraulic press is to be estimated assuming that the time between failures (TBF) is exponentially distributed.
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