First slide

Connected bodies

Question

Two bodies of masses 5 kg and 4 kg ate arranged in two positions as shown in Figure (A) and (B), if the pulleys and the table are perfectly smooth, the accelerations of the 5 kg body in cases (A) and (B) are:

Easy

A

g and (5/9)g
B

(4/9)g and (1/9)g
C

g/5 and g/5
D

(5/g)s and (1/9)g

Solution

$\begin{array}{l} Case (A), a = \frac{4 g}{4 + 5} = \frac{4}{9} g \\ Case (B), a = \frac{5 g - 4 g}{5 + 4} = \frac{g}{9} \end{array}$

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