Mudit
Last Activity: 8 Years ago
It is because when the body is going down the inclined plane the forces mgsintheta and f are opposite to each other and hence the force required to just move it is F=mgsintheta-f.
While when the body is going up the inclined plane the two forces mgsintheta and f are acting in the same direction, we need the force that is just able to move the body and must be equal to the forces which are opposing the required motion. The force applied upward is equal to the forces acting on the body in opposite directions which are mgsintheta and f.
Therefore, F=mgsintheta+f.
Hope your doubts are cleared about this.Feel free to ask and please approve my answer if you found my answer helpful.