Question: In polar coordinates (r, ), the unit vectors r and are defined as in Figure 9.11. Show that Hence from the definition r =

In polar coordinates (r, θ), the unit vectors r̂ and θ̂ are defined as in Figure 9.11. Show that

f = cose i + sin0j 6-sin0 i + cose jHence from the definition r = rr̂ show that

dr dt Deduce that df and dt -f+rw where co dr dt dt = w and dr dr - d dt -=-cof ro + 200 de dt do dt 6


YA O Figure 9.11 X

f = cose i sinej = sin0 i + cose j

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is the unit vector with slope tan 8 so So F cosoi sinj and e and 6 di d... View full answer

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