The friction coefficient between the table and the block shown in figure is 0.2. Find the tensions $T_1$ and $T_2$ in the two strings

Let ‘a’ be acceleration of system

For 15 kg block, 150 – T₁ = 15a (or)

T₁ = 150 – 15a 

For 5 kg block, T₂ - 50 = 5 a (or)

T₂ = 50 + 5a 

For 5 kg block on table T₁ – T₂ – f = 5a

${\mathrm{T}}_1-{\mathrm{T}}_2-\mathrm{\mu mg}=5\mathrm{a}$

${\mathrm{T}}_1-{\mathrm{T}}_2-10=5\mathrm{a}$

On solving the equations,

${\mathrm{T}}_1=96\mathrm{N},{\mathrm{T}}_2=68\mathrm{N}$