CBSE Class 11-science Answered
The sum of magnitude o3 two forces acting at a point is 16N .if the resultant force is 8N and its direction is perpendicular to smaller force ,then the force are
Asked by nihalkhan63344 | 21 Oct, 2018, 09:40: PM
Expert Answer
Since the resultant of two forces are less than the sum of the two forces, angle between two force vectors is obtuse angle.
Figure shows the two force vectors OA and OB make obtuse angle in between them and their resultant is perpendicular to OA
Let |OA| = x N , |OB| = (16-x) N and resultant |OC| = 8N. ΔOCA is right triangle and OACB is a parellogram.
Hence AC = OB .
we have |F1|2 + |R|2 = |F2|2 or x2 + 82 = (16-x)2 ..................(1)
solving (1) for x, we get x = 6 N . Hence forces are 10 N and 6 N
Answered by Thiyagarajan K | 22 Oct, 2018, 12:17: AM
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