TrojanPoem
  • TrojanPoem
Tag
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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TrojanPoem
  • TrojanPoem
|dw:1444135482286:dw| if F = 60 n, U = 300 n, theta = 40
TrojanPoem
  • TrojanPoem
V = 112.7 / 145.9 / 154.3 / 257.9 alpha = 131.4 / 98.6 / 41.4 / 115.2
dan815
  • dan815
n?

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

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