Find the acceleration of the 6 kg block in the figure. All the surfaces and pulleys are smooth. Also the strings are inextensible and light. [Take `g = 10 m//s^(2)`]
.

Options

A. `3 m//s^(2)`
B. `4 m//s^(2)`
C. `5 m//s^(2)`
D. `2 m//s^(2)`

Answer

A

Explanation

All the blocks will be having the same acceleration along the length of the string. So, Applying Newtons law along the string on A,B & C
`rArr 6g - 2g sin 30_(0) - 2g = (6+2 +2)a`
`rArr 3g = 10 a`
`rArr a = (3g)/(10)`

or `a = 3m//s_(2)`.