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In: Physics

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting...

A uniform hoop of mass M and radius R rolls down an incline without slipping, starting from rest. The angle of inclination of the incline is θ.

a. After moving a distance L along the incline, what is the angular speed ω of the hoop?

b. If the coefficient of static friction between the hoop and the incline is µs = 1/3, what is the greatest possible value of θ such that no slipping occurs between the hoop and the incline?

c. What is the direction of the angular velocity for the rolling hoop?

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