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butterflyprincess

  • 3 years ago

Anyone good with VECTORS? 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.

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  1. hba
    • 3 years ago
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    Pre Calculus

  2. hba
    • 3 years ago
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    I got it. Just take the 33 degrees and split it into 15 and 18. (33-15=18). Since you know that the 15 degrees has a 2.5 magnitude you can now compose the 33 degree angle as a 15 degree vector with a magnitude of 2.5 and a 18 degree vector of unknown "W" magnitude. Now you know that the "W" vector has a j value( <i,j> component form) of 2.5. So Cos(18)=2.5/W. Then solve for W, which turns out to be about 2.63 magnitude. Plug that back into the component form and you get <cos(33)*2.63, sin(33)*2.63> which turns out to be <2.20,1.43>.

  3. butterflyprincess
    • 3 years ago
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    Cool thanks but like I am a little confused on how you got to this part.. "<cos(33)*2.63, sin(33)*2.63>"

  4. butterflyprincess
    • 3 years ago
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    you there?

  5. hba
    • 3 years ago
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    Yeah

  6. hba
    • 3 years ago
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    Cos(18)=2.5/w > Solve for w,You get 2.63.

  7. hba
    • 3 years ago
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    Now we just have to plug it in component form :)

  8. butterflyprincess
    • 3 years ago
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    ohhhh ok thanks! :DD

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