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4-1.Newton's Laws of Motion
hard
Block $C$ of mass $m$ as shown in figure. Find the acceleration of block $B$.
A$a =\frac{3 F }{21 m }\,m / s ^2$
B$a =\frac{3 F }{20 m }\,m / s ^2$
C$a=\frac{2 F}{21 m }\,m / s ^2$
D$a=\frac{3 F}{18 m}\,m / s ^2$
Solution

$F -2 T =2 ma$
$T = mc$
$3 T =4 mb$
$\text { constrain equation } 2 a=3 b+c \quad \text {..(1) }$
on solving above four equation
$b=\frac{3 F}{21 m}\,m / s^2$
Standard 11
Physics