As shown in figure A, B and C are 1 kg, 3 kg and 2 kg respectively. The acceleration of the system is -

Options

A. `5ms^(-2)`
B. `4.11ms^(-2)`
C. `4ms^(-2)`
D. `5.11ms^(-2)`

Explanation

Net during force
`=m_(A)g sin 60^(@) + m_(B)g sin 60^(@) - mcg sin 30^(@)`
`1xx10sqrt(3)/(2)+3xx10sqrt(3)/(2)-2xx10xx(1)/(2)`
`=24.64 N
Total mass being pulled `=1+3+2= 6 kg`
`:.` Acceleration of the system
a`=(24.66)/(6)=4.11 ms^(-2)`