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Answers
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Answer:
1) Let the vectors be x.
Their resultant is also x according to the question
By parallelogram law. r square = a square+b square+2abcos theta
here,x square = x square + x square +2xxcos theta x square
= 2x square + 2x square cos (theta) -x square
= 2x square cos theta or cos theta
= -1/2that is theta
=120 degree
(If U did not understand, then refer the attachment)
2) Initial velocity,
ux = 30 m/s i (East)
uy= 40 m/s j (north)
Magnitude of u =
Direction of u w.r.t x axis, θ = tan-1(4/3) = 53.13
3)
Here A= 30N , B=60N , C=90^°
Let D be the angle between 2 forces. Then tan C =BsinD/A+B cosD
or tan 90^°=60sinD/30+60cosD
or 30+60cosD =0
or cosD=-30/60 =-1/2 =cos120^°
or D=120^°
Effective pulling force is
R= root A^2+B^2+2ABcosD
=root 900+3600+2×30×60 (-1/2)
=30root3N
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