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Solve the Problem θS\theta _ { \mathrm { S } }

question 37

Multiple Choice

Solve the problem.
-A wooden block sitting at rest on a flat, level board will just begin to slide when the board is tilted up to a critical angle of inclination, θS\theta _ { \mathrm { S } } . An experiment that determines this critical angle can be used to find the coefficient of static friction, μS\mu _ { \mathrm { S } } , for the block on the board by using the relation μS=sinθScosθS\mu _ { \mathrm { S } } = \frac { \sin \theta _ { \mathrm { S } } } { \cos \theta _ { \mathrm { S } } } . Rewrite this relation using a quotient identity.

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Definitions:

Bedrock

Solid rock underlying loose deposits such as soil or alluvium.

Turbulent Part

A section or aspect of a fluid flow characterized by chaotic changes in pressure and flow velocity.

Deposition

The geological process in which sediments, soil, and rocks are added to a landform or landmass through the action of wind, water, or ice.

Bedrock Channels

Channels carved into the underlying bedrock by the erosive action of flowing water, often seen in riverbeds and streambeds.

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