6. A symmetric (its center of mass at its geometric center) round object of radius R, mass m and moment of inertia I, rolls without slipping down a plane inclined relative to the horizontal by the angle 0. The coefficient of friction between the object and incline is μ. 6a. Show a pictorial representation of this problem, with a carefully chosen coordinate system, and make an extended FBD for the object. 6b. Calculate the net torque relative to the center of the object. 6c. Write Newton's 2nd Law (e.g., the equilibrium relations between the forces) for this object. Hint: write this separately for your chosen x and y coordinate axes.

6. A symmetric (its center of mass at its geometric center) round object of radius R, mass m and moment of inertia I, rolls without slipping down a plane inclined relative to the horizontal by the angle 0. The coefficient of friction between the object and incline is μ. 6a. Show a pictorial representation of this problem, with a carefully chosen coordinate system, and make an extended FBD for the object. 6b. Calculate the net torque relative to the center of the object. 6c. Write Newton's 2nd Law (e.g., the equilibrium relations between the forces) for this object. Hint: write this separately for your chosen x and y coordinate axes.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m...

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