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 Ps by measuring the critical angle 0 where slipping occurs. to

University Physics Volume 1
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Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 123AP: Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of...
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Answer the missing parts

For an inclined plane. The normal force is
n=mg
Then,
Hs=mg
cos(e)
so:
Hs=
tan(0)
Transcribed Image Text:For an inclined plane. The normal force is n=mg Then, Hs=mg cos(e) so: Hs= tan(0)
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 0 where slipping occurs.
my
Solution
Just before slipping, we say that the block is still at rest, so the net force on the x-axis is:
EFx=mg
-f
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
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 0 where slipping occurs. my Solution Just before slipping, we say that the block is still at rest, so the net force on the x-axis is: EFx=mg -f 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
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