John and Sue, ages eight and ten respectively, own a puppy named Jake. It is hared to take Jake for a walk that they devise a scheme to use two leashes. If John uses 24lbs of force and is at a -15 and Sue uses 27lbs of force at 18degrees. How hard is Jake pulling if the puppy is holding the children at a standstill? In other words find the resultant!!!
poor doggy, being dragged :((
is it difficult?
i think its with vectors
Do you know how to change vectors into their component forms?
yes
Change the vectors into their component forms. Then you can add them.
what are the vectors?
"24lbs of force and is at a -15"
"27lbs of force at 18degrees"
Change to x,y component form.
soo, <27,18> and <24,-15>
are the vectors?
No, those are not x, y components. They are magnitude and angle, or the polar r, theta components.
\[ \langle x,y\rangle =\langle r\cos\theta ,r\sin\theta\rangle \]
ok look at this for me, ill give an example
component form: v_x = 18 cos (200) = -16.91 v_y = 18 sin (200) = -6.15 so, (-16.91,-6.15) yes?
how did you get 200?
it was just an example from another problem that i did... if -15 is a functional directional angle then i can find the component form
ok
so 24 cos(-15) 24 sin (-15) for x and y component form for john right?
Yes
k thanks wio!!!
so the answer should be <25.67, 8.34> ?
Well, they may want you to convert it back to magnitude, angle.
lol, how would you do that?
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