First slide

Constraints

Question

The ratio of acceleration of pulley to the acceleration of the block is (string is inextensible)

Moderate

A

0.5
B

2
C

1
D

None of these

Solution

$x_{1} + x_{2} = l \Rightarrow \frac{{dx}_{1}}{dt} + \frac{{dx}_{2}}{dt} = 0$
$v_{p} - v_{B} + v_{p} = 0$
$2 v_{p} = v_{B} . It gives 2 a_{p} = a_{B} \Rightarrow \frac{a_{P}}{a_{B}} = \frac{1}{2}$

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