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Body on slope with friction

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Please help with the following problem. Provide step by step calculations for each problem.

You have a mass of 59 kg and are on a 28-degree slope hanging on to a cord with a breaking strength of 224 newtons. What must be the coefficient of static friction to 2 decimal places between you and the surface for you to be saved from the fire?

If the coefficient of static friction is zero, to the nearest tenth of a degree, what would the incline angle have to be in order for the cord not to break?

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Solution Summary

This solution helps with a problem involving physics measurements. It helps find the coefficient of static friction. Step by step calculations are given.

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Let us take notations:

my mass m = 59 kg
angle of the slope A = 28°
the breaking tension of the cord T_{max} = 224 N
the minimal static friction coefficient k_min = ? to be found
free fall acceleration g = 9.8 m/s^2

Answer to the 1st question:

there are 4 forces acting on me:
the force of gravity mg directed downwards, mg,
the normal force from the ...

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