Mechanics - 10

Find the sum of the magnitudes of the acceleration of the blocks a m/s2a \text{ m/s}^2 and tension in the string T NT \text{ N}.

Assumptions and Details:

  • Mass of block AA, mA= 3 kgm_A = \text{ 3 kg}
  • Mass of block BB, mB=5 kgm_B = \text{5 kg}
  • θ1=sin145,θ2=sin135\theta_1 = \sin^{-1} \dfrac45, \theta_2 = \sin^{-1} \dfrac35
  • Acceleration due to gravity, g=10 m/s2g = \text{10 m/s}^2
  • The string is massless and inextensible.
  • The pulley is massless and there is no friction between the blocks and the incline plane, in the pulley and with the string.

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