Question

A light string passing over a smooth light pulley connects two blocks of masses $m _ { 1 }$ and $m _ { 2 }$ (vertically). If the acceleration of the system is g/8 then the ratio of the masses is

• A. 8 : 1
• B. 9 : 7
• C. 4 : 3
• D. 5 : 3

Answer 1

Answer: (B)

9 : 7

Answer 2

$a = \left( \frac { m _ { 2 } - m _ { 1 } } { m _ { 1 } + m _ { 2 } } \right) g$ = $\frac { g } { 8 }$ ; by solving $\frac { m _ { 2 } } { m _ { 1 } } = 9 / 7$