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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1444135482286:dw| if F = 60 n, U = 300 n, theta = 40
V = 112.7 / 145.9 / 154.3 / 257.9 alpha = 131.4 / 98.6 / 41.4 / 115.2
n?

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Other answers:

Newton
whats with all the V and alpha
F is the resultat of both V, u
  • phi
I assume you are adding the vectors u and f, and the resultant is v ?
|dw:1444135771546:dw|
arrows here?
The action direction
Right.
=.=
  • phi
ok u + V= F |dw:1444135779512:dw|
  • phi
you could use Law of Cosines to find |V| and Law of Sines to find the supplementary angle
I tried 60 / Sin ( alpha + 40 ) = 300/ sin alpha = v / sin40 I ended up with tan alpha = -1.1
  • phi
law of cos gives 256.9 for | v|
|dw:1444136003702:dw|
Oh, you used the force triangle for the cosine rule, I used Resultant = v^2 + u ^2 + 2 vu cos apha + theta
or just do vector addition since u are learning vectors
|dw:1444136349451:dw| Where is f ?
@phi, your method works , I will continue and see thanks.
u=<300,0> f=<60 cos(40),60 sin (40) v= u+v=f 300+x= 60 cos(40) 0+y=60sin(40)
  • phi
alpha, by law of sins is 131.4 |dw:1444136394450:dw|
@dan815 , Never thought I could use vectors like this nice nice
ya vectors make it neat ^^
Thanks @phi, @dan815
medal to who ?
  • phi
you can also you components. u+v= f so v= f-u f=<300,0> (we let f point along the x-axis u= 60 v= <60 cos(40) - 300, -60 sin(40) > now find the magnitude and angle of v |v| = 256.9 angle = atan(y/x) = 8.6 deg in the 3rd quadrant= 171.4 alpha = 171.4-40= 131.4 deg
lol

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