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Hello, here we have to solve the following problem.
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Mass of the person is m, coefficient of static friction is mu -s.
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And the radius of the cylinder is r.
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In question a, we have to determine angular velocity.
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Here, let's catch the forces.
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So normal reaction acts to the right, to the left.
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Friction force is upwards and gravity is downwards.
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And here, force of the static friction must be equal to gravity.
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And on the other hand that is coefficient of static friction times normal reaction which is coefficient of static friction times or mass times omega squared radius now let's analyze this equation let's get rid of the mass and now we can determine omega that is square root of g divided by coefficient of static friction and radius...