The maximum height within a bowl using friction.

Thread starter w451208
Start date Jun 14, 2010
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Friction Height Maximum Maximum height

AI Thread Summary

The discussion focuses on determining the maximum height an ant can reach while climbing a semi-spherical bowl with a radius of 10 cm and a static friction coefficient of 0.03. By applying the equation tan(θ) = μ, where θ is the angle of the surface from horizontal and μ is the coefficient of friction, the angle can be calculated. This angle helps to find the corresponding height the ant can achieve before sliding back down. The calculations reveal that the ant can reach a specific height based on the bowl's dimensions and the frictional properties. Understanding these physics principles is crucial for solving similar problems involving friction and inclined surfaces.

Jun 14, 2010

w451208

An ant is trying to climb out of a semi spherical bowl that has a radius of 10cm. The static coefficient is .03. How high can the ant reach before it slides back down to the center of the bowl.

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Jun 15, 2010

K^2

Science Advisor

Try using tan(\theta)=\mu with \theta being angle of the surface from horizontal.

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