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NEET PhysicsMedium

Two bodies of mass 4 kg4\text{ kg} and 6 kg6\text{ kg} are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is :

A

g

B

g/2

C

g/5

D

g/10

Step-by-Step Solution

The acceleration of an Atwood machine is given by a=(m2m1)gm1+m2a = \frac{(m_2 - m_1)g}{m_1 + m_2} where m2>m1m_2 > m_1. Here m2=6 kgm_2 = 6\text{ kg} and m1=4 kgm_1 = 4\text{ kg}. So, a=(64)g6+4=2g10=g5a = \frac{(6 - 4)g}{6 + 4} = \frac{2g}{10} = \frac{g}{5}.

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