A force vector can be described by two methods: rectangular (...

Favere198

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Problem 1: A force vector can be descrbed by two methods: rectangular (x, y) or polar (magnitude and angle) coordinates. Conversion from polar to rectangular coordinates \(\displaystyle \big(\overleftarrow{x},\, \overleftarrow{y}\big)\, \Leftarrow\, (F,\, \theta)\, \) can be made by:

. . . . .\(\displaystyle \overleftarrow{X}\, =\, F\, \cos(\theta)\, \mbox{ and }\, \overleftarrow{Y}\, =\, F\, \sin(\theta)\)

Use the equation editor to show the conversions for \(\displaystyle \, (F,\, \theta)\, \Leftarrow\, \big(\overleftarrow{x},\, \overleftarrow{y}\big).\)

In Excel, calculate the values of \(\displaystyle \, (F,\, \theta)\, \) if \(\displaystyle \, \big(\overleftarrow{x},\, \overleftarrow{y}\big)\, =\, (5, 7)\, N.\)

Hint: You need to find F and \(\displaystyle \, \theta\, \) since x and y are given. The conversion between coordinates was established earlier in the problem.



I need to use excel for this and I'm confused. Please help.
 

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Problem 1: A force vector can be descrbed by two methods: rectangular (x, y) or polar (magnitude and angle) coordinates. Conversion from polar to rectangular coordinates \(\displaystyle \big(\overleftarrow{x},\, \overleftarrow{y}\big)\, \Leftarrow\, (F,\, \theta)\, \) can be made by:

. . . . .\(\displaystyle \overleftarrow{X}\, =\, F\, \cos(\theta)\, \mbox{ and }\, \overleftarrow{Y}\, =\, F\, \sin(\theta)\)

Use the equation editor to show the conversions for \(\displaystyle \, (F,\, \theta)\, \Leftarrow\, \big(\overleftarrow{x},\, \overleftarrow{y}\big).\)

In Excel, calculate the values of \(\displaystyle \, (F,\, \theta)\, \) if \(\displaystyle \, \big(\overleftarrow{x},\, \overleftarrow{y}\big)\, =\, (5, 7)\, N.\)

Hint: You need to find F and \(\displaystyle \, \theta\, \) since x and y are given. The conversion between coordinates was established earlier in the problem.



I need to use excel for this and I'm confused. Please help.
What is the magnitude of F?

What is the unit vector along F?

First solve with pencil and paper - then worry about solving in excel.
 
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