A constant force `F=m_2g/s` is applied on the block of mass `m_1` as shown in figure. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of `m_1`

Explanation

Given Reset as
Here `sintheta_1 = 4/5`
We know `g sin theta_1 = a+T` …………i ltbgt Again , `sin theta_2 = 3/5`
We know, `T-gsin theta_2 -a=0`
`rarr T=g sin theta_2 +a` ……..ii.

From equations i. and ii.
`g sin theta_2+a+a-g sin theta_1 =0`
`rarr 2a=gsin theta_1 - g sin theta_2 `
` rarr a= g/5 xx 1/2`
`= g/10`