A block is placed on an inclined plane. The static coefficient of friction between the block and the plane is .300. What is the maximum angle the plane can have without the block starting to slide?
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OpenStudy (shamim):
Ket the angle between the inclined plane n horizontal plane is theta
OpenStudy (shamim):
*let
OpenStudy (shamim):
Let the mass of the block is m
OpenStudy (shamim):
So weight of mass m =mg
OpenStudy (shamim):
Component of weight mg along inclined plane=mg*sin theta
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OpenStudy (anonymous):
friction(.300) + mgsin(theta) =ma?
OpenStudy (shamim):
Component of weight mg perpendicular to the inclined plane=mg*cos theta
OpenStudy (anonymous):
oh so .300 + mgcos(theta)=0
OpenStudy (shamim):
Acceleration a=0 in ur equation. Because the block is static
OpenStudy (anonymous):
yes i forgot that
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OpenStudy (shamim):
So
Frictional force=mg*sin theta
Right?
OpenStudy (anonymous):
so .300=mgcos(theta)
OpenStudy (anonymous):
yes
OpenStudy (shamim):
No
OpenStudy (anonymous):
mgcos(theta)
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OpenStudy (shamim):
Frictional force=coefficeint of static friction*mg*cos theta
OpenStudy (shamim):
R=mg*cos theta
OpenStudy (anonymous):
what is r?
OpenStudy (shamim):
Frictional force=0.3*mg*cos theta
OpenStudy (shamim):
R is a force acting on the block by the inclined plane
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OpenStudy (anonymous):
oh ok
OpenStudy (shamim):
mg*cos theta
Is a force acting on the inclined plane by the block
OpenStudy (anonymous):
so how do you get a value if you only have 1 to plug in
OpenStudy (shamim):
Ok
0.3*mg*cos theta=mg*sin theta
Theta=?
OpenStudy (shamim):
Anyway i m frm an android cell phone
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