Three masses are arranged: m_{1} = 6 kg hangs on one side; m_{2} = 2 kg and m_{3} = 2 kg are both on the other side (separately connected). If m_{2} and m_{3} are together on one side, find acceleration. (g = 10 m/$s^{2}$)

A 2 kg block A sits on top of 5 kg block B on a frictionless floor. μₛ between A and B = 0.4. Maximum force on B to move both without A sliding: (g = 10 m/$s^{2}$)

A 5 kg block slides 3 m down a rough 37° incline (μₖ = 0.3) from rest. Find speed at bottom. (g = 10 m/$s^{2}$, sin 37° = 0.6, cos 37° = 0.8)

Block A (mass 3 kg) is on top of block B (mass 5 kg) on a frictionless floor. A horizontal force 16 N acts on A. The surface between A and B has μₛ = 0.4. Find acceleration of B. (g = 10 m/$s^{2}$)

**Assertion (A):** In an Atwood machine, the tension T in the string is always between the weights of the two masses: $$m_2 g < T < m_1 g$$. **Reason (R):** Both masses accelerate at the same rate. For m_{2} (lighter, going up): $$T > m_2 g$$. For m_{1} (heavier, going down): $$T < m_1 g$$. Combined: $$m_2 g < T < m_1 g$$.