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# A block with mass m = 5.00 kg slides down a surface inclined $36.9 ^ { \circ }$ to the horizontal. The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 25.0 kg and moment of inertia $0.500 \mathrm { kg } \cdot \mathrm { m } ^ { 2 }$ with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.200 m from that axis. What is the acceleration of the block down the plane?

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To solve this problem, we have to sketch a free - body diagram of the given system, in order to make an assumption of which forces are acting on it. In the figure below is shown that free - body diagram, and what we can see is that on the block, there are weight and normal reaction force acting an on the flywheel there is only weight. Also, there are tensions on the string, since we have assumed it is massless, there will be no weight. ## Recommended textbook solutions #### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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