UPSEE 2018 Solved Paper

Let two forces be F1 and F2.
Given, F and G are maximum and minimum resultant of two forces F1 and F2 respectively and angle between two forces F1 and F2 is 2α.
∴F=F1+F2 and G=F1−F2
⇒F1=F+G2
and F2=

F−G

2

Resultant R=√F12+F22+2F1F2‌cos‌2‌α
=√

1

2

[F2(2cos2α)+G2(2sin2α)]
=√F2cos2α+G2sin2α
=(F2cos2α+G2sin2α)1∕2