If mass of $A = 10\,\,kg$, coefficient of static friction $= 0.2$, coefficient of kinetic friction = $0.2$. Then mass of $B$ to start motion is
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$ma = T -\mu_s mg$
friction is static as we require limiting condition. for limiting case $a=0$
$T = m_B g$
$T = \mu _{ s } \times m_A \times g$
comparing both:
$m_B \times g = 0 .2 \times m_A \times g$
$m_B =2 kg$
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