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At what angle should two force vectors 2f and √2f act so that the resultant force is √10f
Asked by rorshack24 | 14 Jul, 2019, 09:49: AM
Expert Answer
Let a and b are two vectors making angle θ as shown in figure. Resultant of two vectors are givn by law of parallelogram.
Hence Diagonal OC is resultant a+b.
Angle Φ in the figure is calculated from ΔOAC using law of cosines as :-
.....................(1)
by substituting |a| = 2 and |b| = √2 and | a+b| = √10 , we get Φ = cos-1[ (-10+4+2)/(2×2×√2) ] = 135°
Hence angle between two force vectors of magnitude 2f and √2f = 180 -135 = 45°
Answered by Thiyagarajan K | 14 Jul, 2019, 04:22: PM
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