Sum of magnitude of the two forces is 8 kg-wt. The resultant of the two forces is at right angles to the smaller force. Find the forces.
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A+B=16...(1)
tanα=
A+Bcosθ
Bsinθ
=tan90
Thus, A+Bcosθ=0⇒cosθ=−
B
A
...(2)
We also have: 8=
A
2
+B
2
+2ABcosθ
...(3)
Solving these we get, A=6N and B=10N
Explanation:
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