Two-blocks-are-placed-on-a-smooth-horizontal-surface-and-connected-by-a-string-pulley-arrangement-as-shown-If-a-force-F-starts-acting-on-block-m-1-then-find-the-relation-between-acceleration-of-bot

Question Number 19355 by Tinkutara last updated on 10/Aug/17

Two blocks are placed on a smooth

horizontal surface and connected by a

string pulley arrangement as shown .

If a force F starts acting on block m_{1},

then find the relation between acceleration

of both masses and their values

Commented by Tinkutara last updated on 10/Aug/17

Commented by ajfour last updated on 10/Aug/17

F - 3 T = m_{1} a_{1} \dots (i)

4 T = m_{2} a_{2} \dots (ii)

{4 a}_{2} = {3 a}_{1} \dots (iii)

\Rightarrow F - \frac{{3 m}_{2} a_{2}}{4} = \frac{{4 m}_{1} a_{2}}{3}

\Rightarrow a_{2} = \frac{12 F}{{16 m}_{1} + {9 m}_{2}}

and a_{1} = \frac{16 F}{{16 m}_{1} + {9 m}_{2}} .

Commented by Tinkutara last updated on 10/Aug/17

Thank you very much Sir!