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

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Physics

A uniform hoop of mass M and radius R rolls down an inclinewithout slipping, starting from rest. The angle of inclination ofthe incline is θ.

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

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

c. What is the direction of the angular velocity for the rollinghoop?

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