Mechanics - 1

Two blocks of mass 5 kg\text{5 kg} and 3 kg\text{3 kg} are suspended from a pulley with string AA. The pulley is hung from ceiling through another string BB. The tension in strings AA and BB are TAT_A and TBT_B newtons respectively. The blocks move with an acceleration a m/s2a \text{ m/s}^2.

Find the sum of the magnitudes of aa, TAT_A, and TBT_B.

Assumptions and Details:

  • Both strings are massless and inextensible.
  • The pulley is massless and frictionless between the strings and pulley.
  • Acceleration due to gravity g=10 m/s2g = \text{10 m/s}^2.

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