Question:
Consider the situation shown in figure. Calculate (a) the acceleration of the $1.0 \mathrm{~kg}$ blocks, (b) the tension in the string connecting the $1.0 \mathrm{~kg}$ blocks and (c) the tension in the string attached to $0.50 \mathrm{~kg}$.
Solution:
For mass $0.5 \mathrm{Kg}$
$m g-T=m a$
$0.5 g-T=0.5 a-(i)$
for $1 \mathrm{Kg}$ night mass
$T-T_{1}-\mu N=m a$
$T-T_{1}-0.2 \times 10=1 \times a$
$T-T_{1}=2+a \quad-(i i)$
For $1 \mathrm{Kg}$ left mass
$T_{1}-\mu N=m a$
$T_{1}-0.2 \times 10=1 \times a-(i i i)$
$a=0.4 \mathrm{~m} / \mathrm{s}^{2}$
$T_{1}=2.4 \mathrm{~N}$
$T_{2}=4.8 \mathrm{~N}$
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