00:01
Okay, in this question you have been asked to determine the magnitude and direction of the resultant of the forces exerted by a, exerted at a by the two cables.
00:12
Okay, so for this, i'll just state out the formulas and kindly bear with me while i solved this question.
00:18
So we can say that ab is equal to 40, i minus 45 j plus 60k.
00:32
And on solving that, i get ab.
00:36
This is the magnitude, by the way.
00:38
So, on solving it, i get ab2 is equal to 85.
00:41
We find the magnitude by taking root of the whole thing and squaring each individual term.
00:45
So i get ab to be equal to 45 inches.
00:49
Similarly, similarly ac, magnitude is 100.
00:55
I minus 45j plus 60k.
01:00
On solving this i get it to be 125 inches we found ab and we found a c so now let's find t ab this will be equal to 425 into 40 i minus 45 j plus 60 k over 85 on solving this i b b i get that to be equal to 200 i minus 225 j plus 300 k now let's find t ac tc will be equal to 510 into 100 i minus 45 j plus 60 k over 1 now on solving this, i get that answer to be is equal to 408i minus 183 .6j plus 244 .8k.
02:35
Okay.
02:36
So we can say that r which is a resultant is equal to tab plus tac.
02:44
So on solving that tab plus tac i get it to be equal to 60...