Question

The force Fı parallel to inclined plane
that is necessary to move a body up an
inclined plane is double the force F2 that
is necessary to just prevent it from
sliding down, then:
Where 0 = Limiting angle of repose,
0 = angle of inclined plane, w = weight
of the body

Answer 1

Answer:

Let the max friction be f

Case 1: body is just about to move up

friction and gravitational force will act in downward direction so

2F=mgsinθ+f ...1

Case 2; body is just prevented to slip

Friction will act upwards and gravitation will act downwards

F=mgsinθ−f ..2

Using equation 1 and 2

mgsinθ−3f=0

max friction=μmgcosθ

∴mgsinθ=3μmgcosθ

∴tanθ=3μ

θ=tan

−1

3μ