Two blocks are connected by a negligible mass string passing over a fr

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Two blocks are connected by a negligible mass string passing over a frictionless pulley of radius R = 0.1 m and moment of inertia I = 0.02 kgm2. A 64.8 N horizontal force acts on the 8.00−kg object. The 8 kg block moves to the right with a constant linear acceleration a. The coefficient of kinetic friction between the horizontal surface and the 8 kg block μk is 0.5. Determine (a) the linear acceleration a of the system, (b) T1 and T2 the tensions in the two parts of the string.

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Two blocks are connected by a negligible mass string passing over a frictionless pulley of radius $R = 0.1 m$ and moment of inertia $I = 0.02 k g m^{2}$ . A $64.8 N$ horizontal force acts on the $8.00 - k g$ object. The $8 k g$ block moves to the right with a constant linear acceleration $a$ . The coefficient of kinetic friction between the horizontal surface and the $8 k g$ block $μ_{k}$ is 0.5. Determine (a) the linear acceleration $a$ of the system, (b) $T_{1}$ and $T_{2}$ the tensions in the two parts of the string.