CBSE Class 11-science Answered
at what angle two forces (a+b) and (a-b) act . so that their resultant is under root( 3a square + b square)
Asked by surajsinghdeoga2992003 | 13 Oct, 2020, 07:45: PM
Expert Answer
Let the forces (a+b) and (a-b) represent two sides of parallelogram PQRS . Then resultant of two forces is diagonal PR
Angle β as shown in figure is calculated using the cosine rule
(a+b)2 + (a-b)2 + 2 (a+b) (a-b) cosβ = 3a2 + b2
After simplification, above equation becomes, 2 ( a2 - b2 ) cosβ = ( a2 - b2 ) or cosβ = (1/2) or β = 60° .
Hence angle α between two forces (a+b) and (a-b) is given as , α = 120°
Answered by Thiyagarajan K | 13 Oct, 2020, 11:53: PM
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