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Aman Sagar Grade: 11
        

Q. The sum of the magnitudes of two forces acting at a point is 18 and the magnitude of their resultant is 12. if the resultant is at 90degree with the force of smaller magnitude , what are the , magnitude of the forces?


a)12,5            b)14,4              c)5,13                  d)10,8

6 years ago

Answers : (1)

abhishek athreya
19 Points
										

let the forces be F1 and F2 


F1+F2=18----------(1)


let the angle between them be 'a'


let their resultant be R


F1^2+F2^2+2FI*F2*cos(a)=R^2--------------------(2)


also 


tan90=F2sin(a)/F1+F2cos(a)------------------------(3)


 


solve (1) (2) and (3)


u will get F1 = 5


and F2=13


 


hope it helped 

6 years ago
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