Question
The force required to just move the body up the inclined plane is twice the force required to just prevent it from sliding down the inclined plane. Find the coefficient of friction.
Solution
The force of friction acts along the slope down the inclined plane, when the body moves up the inclined plane.
Let Fl be the force required to move the body up the inclined plane.
Now, let F2 be the force required to just prevent the body sliding down.
When the body is just at the point of sliding down, the force of friction acts up the inclined plane.
Thus
Since,
[ Given]
Therefore,
So, coefficient of friction is given by,
Let Fl be the force required to move the body up the inclined plane.
Now, let F2 be the force required to just prevent the body sliding down.
When the body is just at the point of sliding down, the force of friction acts up the inclined plane.
Thus
Since,
[ Given] Therefore,
So, coefficient of friction is given by,
