Vectors find following in terms of x

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The discussion revolves around a homework problem involving vectors where the user is tasked with expressing certain lengths in terms of x, given that m, n, o, and p are each 8 meters long. The user struggles to visualize the problem, particularly with the angles and the roof-shaped diagrams, leading to confusion about how to form right triangles and calculate the necessary dimensions. There is uncertainty regarding the interpretation of additional vector equations provided, and the user questions whether the Pythagorean theorem is applicable. Diagrams were shared to clarify the problem, but the user still finds it challenging to grasp the concepts involved. Overall, the discussion highlights difficulties in understanding vector relationships and the need for clearer explanations or visual aids.
BeckyStar678
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Homework Statement


express the following in terms of x, given that m,n,o and p are each 8 m long.
so the first diagram has x pointing upward and then m connected, pointing downward (forming roof shape) and the angle formed is 140 degrees (under the roof).
the next one is also a roof shape but x and n are pointing in diff dirrections instead of the same way. if x is extended, i can't really make a right triangle. so I am confused.


Homework Equations





The Attempt at a Solution



fr the first one, do i just extend x to make a right triangle on m and then get 40 degrees for one of the angles. so i would get 6 for the line that was extended. is this the answer?
 
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I can't visualise this problem and can't understand what it is you are actually trying to express in terms of x...

Short of drawing a diagram, do you think you've explained the problem well enough for someone here, someone who's never seen the problem before, to answer it?
 
loonychune said:
I can't visualise this problem and can't understand what it is you are actually trying to express in terms of x...

Short of drawing a diagram, do you think you've explained the problem well enough for someone here, someone who's never seen the problem before, to answer it?


i drew diagrams for you at the link below

http://s446.photobucket.com/albums/qq190/BeckyStar678/?action=view&current=physics.jpg
 
Sorry Becky I know i asked you to draw a diagram but I still can't quite get my head round this..

You might want to repost this problem if no one replies to this post.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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