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Help with really easy Maths question (its killing me!)

Heyy

Well I have tried everything but I can't seem to get the answer they are looking for.

The question is "an archer pulled a bowstring back until 2 halves of the string are at 140 degrees to each other. The force needed to hold the string in this position was 95N.

a) find the tension in each part of the bowstring in this position.


Thanks so much, rep+ will be given:biggrin:

the answer is 139N, but I don't know how to get to it, so if someone could show me what they resolved ect and the calculations, it will help me greatly:smile:
Reply 1
cos70=47.5/h

rearranging gives h= 75.002 N in each string.

Atleast that is what i get.
Reply 2
DeeDub
cos70=47.5/h

rearranging gives h= 75.002 N in each string.

Atleast that is what i get.

How did you get 47.5? and the answer says its 139N not 75.002?:s-smilie:
Reply 3
Draw a diagram of ONE half of the bowstring and resolve the forces horizontally.
So you should get

2Tcos70=952Tcos70 = 95

And then rearrange for T. I think that's right, I had to draw a lil diagram in my head. Just ask if you don't understand.
Reply 4
As the problem is symmetrical i only considered half of it. 95/2 = 47.5

The horizontal force provided by one the sections of the string must equal half the horizontal force provided by the archer (the other section providing the other half). This is based on the assumption that the two sections of string are 70 degrees above and below the direction the archer is applying the force.

The answer could be wrong.
Reply 5
DeeDub
As the problem is symmetrical i only considered half of it. 95/2 = 47.5

The horizontal force provided by one the sections of the string must equal half the horizontal force provided by the archer (the other section providing the other half). This is based on the assumption that the two sections of string are 70 degrees above and below the direction the archer is applying the force.

The answer could be wrong.


Its not 47.5 = cos70/T, Is 47.5/cos70 = T. That should get you the right answer.
Reply 6
maxfire
Draw a diagram of ONE half of the bowstring and resolve the forces horizontally.
So you should get

2Tcos70=952Tcos70 = 95

And then rearrange for T. I think that's right, I had to draw a lil diagram in my head. Just ask if you don't understand.

LOL yeah can you please help me:p: How did you come up with that equation? You obv can't resolve the tension of the string as it is not given, but when do you use 95N and where does the 70 degrees come into play? I tried 95cos70 to get the horizontal and then the vertical to get the resultant, but its not right? so yeah can you tell me how you got to that please:smile:
Reply 7
Rubgish
Its not 47.5 = cos70/T, Is 47.5/cos70 = T. That should get you the right answer.


I believe that is what i wrote.
By really easy, i though you meant addition, or something along those lines...
Reply 9
maxfire
Draw a diagram of ONE half of the bowstring and resolve the forces horizontally.
So you should get

2Tcos70=952Tcos70 = 95

And then rearrange for T. I think that's right, I had to draw a lil diagram in my head. Just ask if you don't understand.

actually, could you just show me how you resolved that... i think that will answer my question LOL.
Reply 10
maxfire
Draw a diagram of ONE half of the bowstring and resolve the forces horizontally.
So you should get

2Tcos70=952Tcos70 = 95

And then rearrange for T. I think that's right, I had to draw a lil diagram in my head. Just ask if you don't understand.

Wait mate, your a legend! I just figured it out!!!!:woo:

thanks a bunch, and thanks to all of you who answered...
rep+
Reply 11
The vertical components of tension T in the top half and the bottom half cancel each other out.

Thus, you are left to work with the horizontal components of the tension T in the top half and the bottom half of the string.

Thus,

95 = (T*cos 70) + (T*cos 70) ... to maintain equilibrium.

Hence,

2T cos 70 = 95

Which gives T as approx. 139 N
bombproof_girl
By really easy, i though you meant addition, or something along those lines...


Haha me too!! But apparantly really easy to OP is alot different from our really easy.
http://i58.photobucket.com/albums/g251/skye_thrift/Problemo.jpg<a href="http://s58.photobucket.com/albums/g251/skye_thrift/?action=view&current=Problemo.jpg" target="_blank"><img src="http://i58.photobucket.com/albums/g251/skye_thrift/Problemo.jpg" border="0" alt="Photobucket"></a>
Reply 14
J DOT A
Wait mate, your a legend! I just figured it out!!!!:woo:

thanks a bunch, and thanks to all of you who answered...
rep+


Heh, that's coo', just ask if you want more help :o:

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