Question: The carpenter slowly pushes the uniform board horizontally over the top of the saw horse. The board has a uniform weight density and the

The carpenter slowly pushes the uniform board horizontally over the top of the saw horse. The board has a uniform weight density γ and the saw horse has a weight W and a center of gravity at G. Determine if the saw horse will stay in position, slip, or tip if the board is pushed forward at the given distance d.

The coefficients of static friction are shown in the figure.

Given:

γ = 3lb/ft

L = 18 ft

W = 15 lb

a = 3 ft

b = 1 ft

μ = 0.5

μ' = 0.3

d = 10 ft

The carpenter slowly pushes the uniform board horizontally over the

L .9.

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