anonymous
  • anonymous
QUICK QUESTION!!** PIC INCLUDED* Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w needed to make the component of the force parallel to the inclined plane equal to 2.5 lb. Give answer in component form.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
We will need that figure to know exactly what is being asked.
anonymous
  • anonymous
anonymous
  • anonymous
Does anyone know how to solve it D=

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TuringTest
  • TuringTest
|dw:1352583686628:dw|
TuringTest
  • TuringTest
|dw:1352583791078:dw|
TuringTest
  • TuringTest
the component parallel to the plane is the magnitude of the force W time the cosine of the angle between the force and the plane, which is 30-15=15degrees
anonymous
  • anonymous
Wait but the angle given says 33 degrees?
TuringTest
  • TuringTest
sorry, good eye
TuringTest
  • TuringTest
|dw:1352584030549:dw|
anonymous
  • anonymous
ohokkk
anonymous
  • anonymous
but how would you get the component form..... like what exactly do i solve for? w?
TuringTest
  • TuringTest
yes
anonymous
  • anonymous
mhm, okay but how do you know what you have to minus 33 with 15?
TuringTest
  • TuringTest
we want the angle between the ramp and the force the ramp is at an angle of 15 deg to the horizontal the force is at an angle of 33 deg to the horizontal therefore the angle between the force and the ramp is 33-15deg
anonymous
  • anonymous
Oh okay cool, so how can you set it up to get W?cos 18 = 2.5lbs/w..?
TuringTest
  • TuringTest
start with cos(theta)=F/W where F is the component parallel to the plane we set theta=18 and F=2.5 now yuo can solve for W
TuringTest
  • TuringTest
cuz it's a right triangle...|dw:1352584629296:dw|
TuringTest
  • TuringTest
cos(theta)=adj/hyp=F/W
anonymous
  • anonymous
ohh Okay so W=2.63/
TuringTest
  • TuringTest
I dunno, let me find a calculator...
anonymous
  • anonymous
lol ok
TuringTest
  • TuringTest
yep, I get the same :)
anonymous
  • anonymous
oh okay but the answer says in the book <2.20,1.43> so how can i get there?
TuringTest
  • TuringTest
those must be the *components* of W, so it is W*cos(phi) W*sin(phi) where phi is the angle that W makes with the horizontal
TuringTest
  • TuringTest
|dw:1352585011969:dw|here my exaggerated drawing doesn't work so well :P but Wx and Wy are the x and y components respectively
anonymous
  • anonymous
what so youd get like (2.62 cos (18) , 2.62 sin (18)?
anonymous
  • anonymous
D:
TuringTest
  • TuringTest
18 is not the angle that W makes with the horizontal...
anonymous
  • anonymous
wait really then what would it be?O:

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