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Hello, here we have to solve the following problem.
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Co -efficient of static friction is 0 .81 and coefficient of kinetic friction is 0 .69.
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Acceleration due to the gravity is 9 .8 meters per square second.
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And in question a, we have to find the maximum angle of the incline, with which the box will not slide.
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Let's sketch the forces.
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Gravity is downwards.
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Normal reaction is up.
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And static friction force is up.
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Let's show the x's y and x.
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And here, static friction force is mg sine theta, which is coefficient of static friction force, mg cosine theta.
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Therefore, this coefficient of static friction force is tangent theta and thereby theta is a tangent of coefficient of static friction...