connected bodies

Question

Two blocks m1=2 kg (on table, μ=0.2) and m2=3 kg hanging. Acceleration (g=10 m/s²)?

RankGuru · Accepted Answer

1. **Friction on $m_1$**: $f = \mu m_1 g = 0.2 	imes 2 	imes 10 = 4 	ext{ N}$.
2. **Driving Weight ($m_2$)**: $w_2 = m_2 g = 3 	imes 10 = 30 	ext{ N}$.
3. **Net Force on System**: $F_{net} = w_2 - f = 30 - 4 = 26 	ext{ N}$.
4. **Total Mass**: $m_{total} = m_1 + m_2 = 2 + 3 = 5 	ext{ kg}$.
5. **Acceleration**: $a = \frac{F_{net}}{m_{total}} = \frac{26}{5} = 5.2 	ext{ m/s}^2$.
The system accelerates because the driving weight ($30 	ext{ N}$) is greater than the friction ($4 	ext{ N}$).

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