Question

Two blocks, 4 kg and 2 kg are sliding down an incline plane as shown in figure. The acceleration of 2 kg block is –

• A. 1.66 m/s²
• B. 2.66 m/s²
• C. 3.66 m/s²
• D. 4.66 m/s²

Answer 1

Answer: (B)

2.66 m/s²

Answer 2

m₁gsinq + m₂gsinq – m₁m₁gcosq – m₂m₂gcosq = (m₁ + m₂)a

̃ a = nq –

$\left( \frac { \mu _ { 1 } m _ { 1 } + \mu _ { 2 } m _ { 2 } } { m _ { 1 } + m _ { 2 } } \right)$ gcosq

=g $\left[ \frac { 1 } { 2 } - \left( \frac { 0.3 \times 4 + 0.2 \times 2 } { 4 + 2 } \right) \times \frac { \sqrt { 3 } } { 2 } \right] = 2.66 \mathrm {~m} / \mathrm { s } ^ { 2 }$