Q1. Two thin wedding bands, each with mass m and radius R, are welded together so that each ring passes through the center of the other. Compute the moment of inertia of this system for an axis that passes through the combined center of mass and is perpendicular to the plane of the rings. (For a single ring through its center I = mR2.)
Q2. Between the string and the vertical.Calculate the period of the slowest possible circular motion, if the length of the string is L = 1 m and the mass of the small sphere is m = 0.2 kg. How much is the tension in the string in this case?ßA small sphere of mass m is suspended from a thin and light string of length L. It moves in a horizontal circle with period T. (This arrangement is called a conical pendulum.)Calculate the period T and the tension in the string F as a function of the angle.
Q3. A centrifuge rotor rotating at 10700 is shut off and is eventually brought uniformly to rest by a frictional torque of 2.37. If the mass of the rotor is 4.25 and it can be approximated as a solid cylinder of radius 0.0510, throughout how many revolutions will the rotor turn before coming to rest?