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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.

```
8 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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IIT Kgp - 2005 batch
```
8 years ago
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