First slide

Constraints

Question

If the blocks are moving as shown in the figure the relation between $a_{1}, a_{2} and a_{3}$ 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)
$a_{2} = \frac{2 a_{1} - a_{3}}{2}$
$2 a_{2} = 2 a_{1} - a_{3}$
$2 a_{1} - 2 a_{2} - a_{3} = 0$

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