In: Physics
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?