Answer to Question #16966 in Mechanics | Relativity for nidhi
two forces of magnitude 8N and 15N respectively act at a point.if the force is 17N,the angle between the forces has to be
1.60
2.45
3.90
4.30
1
2012-10-26T11:53:01-0400
Let's write down the formula for the magnitude of the resultant:
R = √( a² + b² + 2*a*b*cos(α) ), (1)
where α is the angle between the forces. Therefore,
(1) ==> α = arccos (R² - a² - b²) / (2*a*b) =
= arccos (17² - 8² - 15²) / (2*8*15) =
= arccos 0 = π/2.
So, right answer is 3.90.
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