Asked by dmkp
A man stands on a slope of 20 degrees.His weight is 65kg. Given that the coefficient of static friction is 1.5, Calculate the maximum angle that the slope can have to the horizontal before he begins to slide.
Also how does the pressure on his feet change with the changing slope angle?
Also how does the pressure on his feet change with the changing slope angle?
Answers
Answered by
drwls
When the slope angle A is so large that he begins to slide,
downslope force = friction force
M g sin A = Us* M g cos A
(Us is the static friction coefficient).
sinA/cosA = tanA = 1.5
A = 56.3 degrees
Note that the man's weight and the initial angle are not needed for the answer.
Force on feet(normal to surface)
= M g cos A,
which decreases with increasing angle
downslope force = friction force
M g sin A = Us* M g cos A
(Us is the static friction coefficient).
sinA/cosA = tanA = 1.5
A = 56.3 degrees
Note that the man's weight and the initial angle are not needed for the answer.
Force on feet(normal to surface)
= M g cos A,
which decreases with increasing angle
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