Two heavy masses m and 2m are mounted on the ends of a light rod of length 2R as

Question

Two heavy masses m and 2m are mounted on the ends of a light rod of length 2R

            as shown below. The system can be rotated by a string wrapped around a

            massless central pulley of radius r.

            A force F is applied to the string to turn the system.

            The values of the parameters of the system are:

            m = 2.0 [kg]

            R = 5.0 [m]

            r = 1.0 [m]

            F = 300 [N]

            What is the resulting angular acceleration of the system?

Explanation / Answer

torque = I*alpha, now torque = F*R = 300*1 = 300, I = 2*5^2 + 4*5^2 = 150, sl alpha = 300/150 = 2.

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