A particle of weight W rests on a rough inclined plane which makes an angle alpha with thehorizontal . If the coefficient of static friction mu = 2 "tan" alpha, find the horizontal force H acting transverse tothe slope of the plane when the particle is about to slip :

A particle of weight W rests on a rough inclined plane which makes an

1.	A particle of weight W rests on a rough inclined plane which makes an angle alpha with thehorizontal . If the coefficient of static friction mu = 2 "tan" alpha, find the horizontal force H acting transverse tothe slope of the plane when the particle is about to slip :
Answer» W `sqrt3 cos ALPHA` `W sqrt3 sin alpha` `(W sin alpha)/(sqrt3)` `(W cos alpha)/(sqrt3)` Solution : W sin `alpha + H cos alpha = mu H "" …. (i)` `H sin alpha+ H = W cos alpha "" …… (ii)` By SOLVING Eqns. (i) and (ii) , we get H .