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shobhit agarwal Grade: 11
        

Suppose the 1 kg standard body accelerates at 4.00 m/s2
at 160(degree) from the positive direction of an x axis due to two forces; one is F1 - (2.50N)i + (4.60N)i What is the other
force (a) in unit-vector notation and as (b) a magnitude and
(c) an angle?


 

6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

accleration = 4


it makes 160o with +ve x axis so 20o from -ve x axis ...


now resolve accleration into two rectangular components ,


a = 4cos20o (-i) + 4sin20o (j)


net force = ma = 4cos20(-i) + 4sin20(j)                           


(sin20o similar to sin18o = 0.3  & 


 cos20o is similar to cos18o = 0.67 )


 


Fnet = -2.7(i) + 1.2 (j)           ...........1


 


force on particle (Fnet)  = F1 + F2 


 F1 = 2.5(i) + 4.6 (j)  so


 F2 =  -5.2(i) - 3.4 (j)          ............2             ans a)


magnitude = (sum of squares of cofficient of x comp & y comp)1/2 = 6.2          (ansc)


unit vector = vector/magnitude


  unit vector = -(5.2i + 3.4j)/6.2 = -0.83(i) - 0.55(j)           (ans b)


approve if u like my ans

6 years ago
akhil mahajan
36 Points
										

reso;ve the forces into components and separately apply the newton's laws of motion...

6 years ago
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