Question

In the figure shown, the frictional coefficient between table and block is 0.2. Find the ratio of tensions in the right and left strings.

• A. 17 : 24
• B. 34 : 12
• C. 2 : 3
• D. 3 : 2

Answer 1

The correct option is A 17 : 24

Let the acceleration of the system be $a$.

Consider the $15kg$ block,

$15g-T_2=15a$

Consider the $6kg$ block,

$T_1-6g=6a$

Consider the $5kg$ block,

$T_2-T_1-5\mu g=5a$

$⟹T_2-T_1-g=5a$

$⟹\frac{T_2}{T_1}=\frac{24}{17}$