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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-14

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2. Block A has a mass of 40 kg, and block B has a mass of 8 kg. The coefficients of friction between all surfaces of contact are μs = 0.2 and μk 0.15. Determine (a) the accelerations of blocks A and B, (b) the tension in the cord, and (c) the velocities of blocks A and B after the block A has moved by 0.5 m. Assume that initially the velocity of block A is 0. Approach: • • Isolate the body (bodies) of interest (free body) Draw your axis system (e.g., Cartesian, polar, path) • • Add in applied forces (e.g., weight, 225 lb pulling force) Replace supports with forces (e.g., normal force) • Draw appropriate dimensions (usually angles for particles) • 15° 25° Draw in the mass times acceleration of the particle; if unknown, do this in the positive direction according to your chosen axes, Write the equations of motion (i.e. Newton's Law for each body in each direction. • Solve for accelerations (and tension(s)), • Use kinematic equations to find positions, velocities, etc. B

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