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Two masses m1 and m2 (m1gtm2) are connec...

Two masses `m_1` and `m_2` `(m_1gtm_2)` are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is

A

g

B

`(m_(2)-m_(1))/(m_(2))g`

C

`m_(1)/(m_(2) + m_(1)) g`

D

`(m_(2) - m_(1))/(m_(2) + m_(1)) g`

Text Solution

Verified by Experts

The correct Answer is:
D
From the free body diagram we can write that

`m_(2)g- T = m_(2)a`…….. (i)
and `T- m_(1)g = m_(1)a`……….(ii)
Adding equations (i) and (ii), we get
`m_(2)g - m_(1)g = (m_(1) + m_(2))a`
`rArr a = (m_(2)-m_(1))/(m_(1) + m_(2)) g`
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