Nonuniform cylindrical object. In the figure, a cylindrical object of mass M and

Question

Nonuniform cylindrical object. In the figure, a cylindrical object of mass M and radius R rolls smoothly from rest down a ramp and onto a horizontal section. From there it rolls off the ramp and onto the floor, landing a horizontal distance d = 0.538 m from the end of the ramp. The initial height of the object is H = 0.97 m; the end of the ramp is at height h = 0.13 m. The object consists of an outer cylindrical shell (of a certain uniform density) that is glued to a central cylinder (of a different uniform density). The rotational inertia of the object can be expressed in the general form I = MR2, but is not 0.5 as it is for a cylinder of uniform density. Determine .

Explanation / Answer

choose a coordinate system with the origin on the floor directly under the end of the ramp, positive x in the direction the object is launched, and positive y upward. I'll get the time of flight from the y information

y_f = y_i + v_iy t +

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