ABC is a right angled isosceles triangle with AB = BC and B=900. Two body of mass ‘m’ are placed at A and C, the resultant force on 2kg mass placed at ‘B’ make an angle ….with line BC is
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a
600
b
450
c
900
d
300
answer is B.
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Detailed Solution
Force on 2kg due to mass ‘m’ at A and B is F1=F2 ∴Resultant force makes an angle 450 with ‘BC’ universal gravitation constant=G; mass=m; distance=r; Force of attraction between two masses=Gm1m2r2 from parallelogram law of addition of vectors, resultant force magnitude is F=F12+F22+2F1F2cosθ here θ=90 ⇒cos90=0 hence FR=F12+F22 since F1=F2=F FR=F12+F12 FR=2F1 tanθ=F2Sin90F1+F2Cos90=1=tan45 θ=45