First slide

Application of Newtons laws

Question

If the blocks are moving as shown in the figure the relation between a₁ , a₂ and a₃ will be

Moderate

A

$2 a_{1} + 2 a_{2} + a_{3} = 0$
B

$2 a_{1} - 2 a_{2} + a_{3} = 0$
C

$2 a_{1} - 2 a_{2} - a_{3} = 0$
D

$2 a_{2} - 2 a_{1} + a_{3} = 0$

Solution

From pulley (3)
$\begin{array}{l} a_{2} = \frac{2 a_{1} - a_{3}}{2} \\ 2 a_{2} = 2 a_{1} - a_{3} \\ 2 a_{2} - 2 a_{1} + a_{3} = 0 \end{array}$

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