Figure 5 shows two masses $m_1 = 1 \text{ kg}$ and $m_2 = 2 \text{ kg…

Previous year question for ENGINEERING MECHANICS.

Question

Figure 5 shows two masses $m_1 = 1 \text{ kg}$ and $m_2 = 2 \text{ kg}$ connected by rope and the rope is passing over two smooth pulleys $P_1$ and $P_2$. Mass $m_3 = 5 \text{ kg}$ is supported from the movable pulley $P_2$. If the inclination of the inclined plane is $\alpha$, where $\tan \alpha = \frac{3}{4}$ and coefficient of friction is $0.1$, determine the motion of the system, neglecting the weight of the pulley $P_2$.

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