19. (Rolling, Torque, and Angular Momentum) A hollow cylinder of outer radius R = 5 cm...

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19. (Rolling, Torque, and Angular Momentum) A hollow cylinder of outer radius R = 5 cm and mass M = 50 g with moment of inertia about the center of mass Icom incline tilted at an angle 0 = 20° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h MR? starts from rest and moves down an 30 cm when it reaches the bottom of the incline. The coefficient of static friction between the cylinder and the surface is µg. The cylinder rolls without slipping down the incline. Answer: i) µ, > 0.18 ii) v = 1.7 m/s i What is the minimum value for the coef- ficient of static friction ug such that the cylinder rolls without slipping down the incline plane? h ii What is the magnitude of the velocity of the center of mass of the cylinder when it reaches the bottom of the incline? 19. (Rolling, Torque, and Angular Momentum) A hollow cylinder of outer radius R = 5 cm and mass M = 50 g with moment of inertia about the center of mass Icom incline tilted at an angle 0 = 20° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h MR? starts from rest and moves down an 30 cm when it reaches the bottom of the incline. The coefficient of static friction between the cylinder and the surface is µg. The cylinder rolls without slipping down the incline. Answer: i) µ, > 0.18 ii) v = 1.7 m/s i What is the minimum value for the coef- ficient of static friction ug such that the cylinder rolls without slipping down the incline plane? h ii What is the magnitude of the velocity of the center of mass of the cylinder when it reaches the bottom of the incline?