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Sourabh Kumar Grade: 12
        

if the minimum horizontal  force required to drag a heavy body on a rough horizontal surface be n times its magnitude, when it be inclined to the horinzontal at the angle of friction. find coefficient of friction.


 


 


  

7 years ago

Answers : (1)

Ramesh V
70 Points
										

The free body diagram is shown below:



on balancing forces we have


F and R are forces and u (=tan x) is coeff of friction


N1 =mg  and F = f1 = uN1 =umg


N2 = mg.cosx


f2=uN2=umgcos x


R=f2+mgsinx


R = mg(u cosx+sinx)


also given :  R = nF


so,  nu.mg = mg(u cosx+sinx)


also tanx =u


so , n = 2 (1+ u2 )-1/2


so coeff of friction: u = (1 -(4/n2) )1/2


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Naga Ramesh

IIT Kgp - 2005 batch

7 years ago
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