Finding angle with just static friction coefficient

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To determine the angle at which a box begins to slide down a plank with a static friction coefficient of 0.4, the equation Us = tan(Θ) is used. By substituting the static friction coefficient into the equation, the angle is calculated as Θ = tan⁻¹(0.4), resulting in an angle of approximately 21.8 degrees. The calculations presented are confirmed to be correct. This method effectively illustrates the relationship between static friction and the angle of inclination. Understanding this concept is crucial for solving similar physics problems.
phee
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Homework Statement



m = 10kg
static friction coefficient (Us) = 0.4
angle = ?


Homework Equations



If the coefficient of static friction is 0.4, calculate the angle at which the box begins to slide down the plank as it tilts.


The Attempt at a Solution



m = 10kg
Us = 0.4
angle = ?

Attempt:

Us = tanΘ

0.4 = tanΘ

Θ= tan-1 0.4
Θ= 21.8

Is what I did correct? Thank you for feedback
 
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phee said:

Homework Statement



m = 10kg
static friction coefficient (Us) = 0.4
angle = ?


Homework Equations



If the coefficient of static friction is 0.4, calculate the angle at which the box begins to slide down the plank as it tilts.


The Attempt at a Solution



m = 10kg
Us = 0.4
angle = ?

Attempt:

Us = tanΘ

0.4 = tanΘ

Θ= tan-1 0.4
Θ= 21.8

Is what I did correct? Thank you for feedback

That is correct
 

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