Problem A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction He by measuring the critical angle e where slipping occurs. mg pin to mg csa my
Problem A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can obtain the coefficient of static friction He by measuring the critical angle e where slipping occurs. mg pin to mg csa my
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Transcribed Image Text:A block of mass m is placed on a rough surface inclined relative to the horizontal. The incline angle is increased until the block start to move. Show that you can
obtain the coefficient of static friction us by measuring the critical angle e where slipping occurs.
Problem
mg pin to
mg cosa
my
Transcribed Image Text:Solution
Just before slipping, we say that the block is still at rest, so the net force on the x-axis is:
IF=mg
Evaluating, we get:
= mg
But the frictional force is expressed as the product of coefficient and the normal force so.
Ps
= mg
For an inclined plane. The normal force is
n=mg
Then,
Ps=mg
cos(e)
so:
tan(e)
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