Problem

Determine the force P needed to pull the 50-kg roller Over the smooth step. Take θ = 60°...

Determine the force P needed to pull the 50-kg roller Over the smooth step. Take θ = 60°.

Step-by-Step Solution

Solution 1

Draw the free body diagram of the roller.

Y:\fbd.jpg

Draw the schematic representing the geometry of the segment .

Y:\geometry.jpg

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 .

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