Determine the force P needed to pull the 50-kg roller Over the smooth step. Take θ = 60°.
Draw the free body diagram of the roller.
Draw the schematic representing the geometry of the segment
.
Calculate the angle
.
Substitute
for
and
for
.
When the roller is moving over the step the reaction exerted by the smooth surface will be zero, at that instant take the moments about point B.
Substitute
for
,
for
and
for
.
Therefore, the force required to pull the 50kg roller over the smooth step is
.