Finding angle with just static friction coefficient

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SUMMARY

The discussion focuses on calculating the angle at which a box begins to slide down a plank using the static friction coefficient. Given a mass of 10 kg and a static friction coefficient (Us) of 0.4, the correct calculation involves using the equation Us = tan(Θ). The solution yields an angle (Θ) of approximately 21.8 degrees, confirming the accuracy of the method employed by the user.

PREREQUISITES
  • Understanding of static friction and its coefficient
  • Knowledge of trigonometric functions, specifically tangent
  • Basic principles of physics related to motion on inclined planes
  • Ability to perform inverse tangent calculations
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  • Study the relationship between static friction and inclined planes
  • Learn about the implications of different static friction coefficients on motion
  • Explore advanced trigonometric functions and their applications in physics
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Students in physics or engineering courses, educators teaching mechanics, and anyone interested in understanding the principles of static friction and inclined planes.

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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