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Grade 11Vectors

Four forces of magnitude P,2P,3P and 4P act aling the four sides of square ABCD in cyclic order. Use the vector method to find the resultant force?

Profile image of Vishesh Lal
16 Years agoGrade 11
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2 Answers

Profile image of Rahul Parkar
16 Years ago

side 1 parallel side 3

considering this as X-axis,

P-3P=-2P i          (→ +ive)

for Y-axis

2P-4P=-2P j        (↑ +ive)

mod(∑F)=√(Fx2+Fy2)

            =√(4P2+4P2)

            =2P√2

 

Profile image of Kushagra Madhukar
5 Years ago
Dear student,
Please find the solution to your problem.
 
We have,
FAB = P i
FBC = 2P j
FCD = 3P ( – i)
FDA = 4P ( – j)
Hence, resultant vector,
Fr = FAB + FBC + FCD + FDA
    = (P i – 3P i) + (2P j – 4P j)
    = – 2P i – 2P j
Hence, |Fr| = [(-2P)2 + (-2P)2]1/2
Hence, |Fr| = 2√2 P
 
Thanks and regards,
Kushagra

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