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 μs by measuring the critical angle θ where slipping occurs. mySolutionJust before slipping, we say that the block is still at rest, so the net force on the x-axis is:EFx=mg-fEvaluating, we get:= mgBut the frictional force is expressed as the product of coefficient and the normal force so.Hs= mgFor an inclined plane. The normal force isn=mgThen,----- - Then,Hs=mgcos(e)so:Hs=tan(0)

Answered: Image /qna-images/answer/7d3f413c-2c53-41bc-a9f0-a96687c1f631.jpg

Answered: A block of mass m is placed on a rough…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity

Section: Chapter Questions

Problem 12PE: If an object is to rest on an incline without slipping, then friction must equal the component of...

See similar textbooks

Related questions

Concept explainers

Question

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 μ_s by measuring the critical angle θ 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.
Hs
= mg
For an inclined plane. The normal force is
n=mg
Then,
----- -

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions