First slide

Questions using constraints

Question

In the arrangement shown, mass of block A is 1 kg and that of B is 4 kg. The pulleys are light. The system is released from rest. Then acceleration of B is

Difficult

A

$2.5 m / s^{2}$
B

$8 m / s^{2}$
C

$6 m / s^{2}$
D

$4 m / s^{2}$

Solution

If ‘a’ be the downward acceleration of B, then upward acceleration of A will be ‘2a’. If T be the tension in the string connected to block A, then 2T will be the tension in the string connected to block B.
$\begin{array}{l} For block A, T - 1 \times 10 = 1 \times 2 a \\ For block B, 4 \times 10 - 2 T = 4 \times a \end{array}\} Solving, a = 2.5 m / s^{2}$

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