The reseelteent of two forces p and 15N is 20N inclined at 60 to the 15N force. Find the magnitade and direction P.
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Correct option is C)
The resultant of two vectors:
P
and
Q
is given by
R=
P
2
+Q
2
+2PQcosθ
where, P and Q are magnitudes of two vectors and θ is the angle between two vectors.
Here θ=? P=8N Q=15N R=17N
Therefore,
17=
8
2
+15
2
+2×8×15cosθ
289=64+225+240cosθ
289=289+240cosθ
289−289=240cosθ
cosθ=0
cosθ=cos90
θ=90
0
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