  # RWP-2bFig. P4.170

Question

The homogenous cylinder of weight W and radius rests  in a groove of width 2b. Determine the smallest force P required to roll the cylinder out of the groove. Assume that there is enough friction to prevent slipping.

check_circleExpert Solution
Step 1

The following information has been provided

The homogeneous cylinder of weight W and radius R rests in a groove

of width 2b. Assume that there is enough friction to prevent slipping.

To find: The smallest force P required to roll the cylinder out of

the groove.

Step 2

The following diagram will explain the essential force system required

Step 3

For calculating the minimum force that will roll out the wheel from the groove can be calculated by finding out... help_outlineImage TranscriptioncloseSum of moments at point P. M2 = 0 Counterclockwise moments Clockwisemoments Counterclockwise moment = Wxb Clockwise moment Px(R- height less than PQ) As, R height less than PQ X Clockwise moment=Px(X) Substituting the values, we get Wxb PxX W b P = X X R W b P = R fullscreen

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### Civil Engineering 