Mechanics - 9

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 $B$ , $m_B = \text{5 kg}$
• $\theta_1 = \sin^{-1} \dfrac35, \theta_2 = \sin^{-1} \dfrac45$
• 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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