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Grade 12Vectors

Three forces are acts along three sides of equilateral triangle of maginitude p,2p,5p.wht is the reultant force magnitude???

Profile image of ASHUTOSH MAHAPATRA
15 Years agoGrade 12
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3 Answers

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear ashutosh,

You resolve the components of the force.

Net force in x direction is : p-2pcos60-5p cos60 i

Net force in y direction: 2psin60-5psin60

Resultant will be sqrt of the sum of the squares of the two forces.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

Profile image of vikas askiitian expert
15 Years ago

F resultant =p sqrt(20 -5sqrt3)

Profile image of y
8 Years ago
∑Fx=p-2pcos60-5pcos60
         =-2.5p
∑Fy=2psin60-5psin60
       =-2.6p
 
R2=(-2.5p)2+(-2.6p)2
     ,=13.51p2
      R=3.67p
Hope this helps