Two forces of magnitude Aand B are acting at right angle to each other. The magnitude of their resultant is *
(a)A+B
(b) A - B
(c) √(A²+B²)
(d) √(A²-B²)
Answers
Given : Two forces of magnitude Aand B are acting at right angle to each other.
To Find : The magnitude of their resultant
a)A+B
(b) A - B
(c) √(A²+B²)
(d) √(A²-B²)
Solution:
Magnitude of two vectors A & B acting at an angle α is given by
= √(A² + B² + 2ABCosα)
Forces are vector quantity
Two forces of magnitude Aand B are acting at right angle to each other.
=> α = 90°
Cosα = Cos90° = 0
= √(A² + B² + 2AB(0))
= √(A² + B² + 0)
= √(A² + B²)
Two forces of magnitude Aand B are acting at right angle to each other. The magnitude of their resultant is (c) √(A²+B²)
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