First slide

Connected bodies

Question

In the given figure a block of mass 2 kg is placed on a block of mass 3 kg and the two constant forces are applied at the two ends of strings. If all the surfaces are smooth and strings and pulley are ideal then acceleration of 3 kg block is

Moderate

A

10 m/s²
B

10/3 m/s²
C

20/3 m/s²
D

5 m/s²

Solution

The resultant external horizontal force acting on the system consisting of 3 kg, 2 kg blocks and the pulleys is 20 N .
$∴$ 3a = 20 ⇒ a = 20/3 m/s²

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