http://i1175.photobucket.com/albums/r630/erosaiii/Prob1.jpg Please show all your

Question

http://i1175.photobucket.com/albums/r630/erosaiii/Prob1.jpg

Please show all your work so I may learn, thank you.

Explanation / Answer

Notice, (F_x ^2 + F_y ^2 = 1) => ( F_x = sin heta ) ( F_y = cos heta ) {order of cos-sin does not matter} Try (x = r cdot cos heta) , (y= r cdot sin heta) and (x^2 + y^2 = r^2) (ec{F(r, heta)} = sin heta hat{i} - cos heta hat{j} ) Notice (hat{r} = cos heta hat{i} + sin heta hat{j} ) (ec{F(r, heta)}) is just the negative of the derivative of (hat{r}) w.r.t. ( heta) i.e. (ec{F(r, heta)}) is unit vector tangent to the circle. Here is how it looks like. http://i1247.photobucket.com/albums/gg639/ulannister/c67ccd8e.png

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.