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Vector Analysis - Spiderweb

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A spider is resting after starting to spin its web. The gravitational force on the spider is 0.150 Newton down. The spider is supported by different tension forces in the two strands above it, so that the resultant vector force on the spider is zero. The two strands are perpendicular to each other, so the x and y directions have been chosen to be along them. The tension Tx is 0.127 N. Find a) Tension Ty b)the angle the x axis makes with the horizontal and c) the angle the y axis makes with the horizontal.

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This solution is provided in 91 words in an attached .doc file. It shows a diagram and uses angles and equations to find the tension and angles of the problem.

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A spider is resting after starting to spin its web. The gravitational force on the spider is 0.150 Newton down. The spider is supported by different tension forces in the two strands above it, so that the resultant vector force on the spider is zero. The two ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
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  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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