Mechanics - 10

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

Assumptions and Details:

• Mass of block $$A$$, $$m_A = \text{ 3 kg}$$
• Mass of block $$B$$, $$m_B = \text{5 kg}$$
• $$\theta_1 = \sin^{-1} \dfrac45, \theta_2 = \sin^{-1} \dfrac35$$
• Acceleration due to gravity, $$g = \text{10 m/s}^2$$
• 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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