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3. [15 points) The double pulley consists of two wheels which are attached to one another and turn at the same rate. The radii of the inner andouter pulleys are 0.1 m and 0.3 m respectively as shown. The pulley has a mass of 30 kg and a radius of gyration of ko = 0.2 m. The block A has a mass of 10 kg. A force F is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest. Neglect the mass of the rope. Assume gravity g 10 m/s2 (a) Draw a free body diagram of the system (b) Determine the speed of block A in 2 s after the force P 400(+1) N is applied to the rope 0.3 m0.1 m 30 kg ko 0.2 m 10 kg A
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The free body diagrams are as follows:

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