Two forces of magnitude 3 units,5 units act at 60 with each other. what is the magnitude of their resultant
Answers
Answered by
31
To find the resultant we have use the formula R=(P^2+Q^2+2PQ×cosA)^1/2. So, now take P=3 and Q=2 and A=60°. So, by susbituting we get (9+4+72×1/2)^1/2. Now by solving this we get root of 49, that is 7. So, the answer is 7.
Answered by
15
Answer: 7 units
Explanation:
formula for resultant of a vector.
R=root over [ (A)² + (B)² + 2(A)(B)CosФ}
R= root[ (3)² + (5)² +2(3)(5)cos(60)]
R= root [ 9 + 25 + 2(15) x (1/2)]
R= root [ 34 + 30 x 1/2 ]
R= root [ 34 + 15 ]
R= root(49) = ±7
(but we consider +7 as magnitude is positive)
∴The resultant of their magnitude is 7
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