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Q. A force of $F$ N is applied as shown in the figure. Find the tension in the string between $BC ,$ if the friction force is negligible.Physics Question Image

Laws of Motion

Solution:

Common acceleration of the system
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$a =\frac{ F }{ M _{1}+ M _{2}+ M _{3}}=\frac{ F }{8+8+8}=\frac{ F }{24}$
$T _{2}=\frac{ M _{3} F }{ M _{1}+ M _{2}+ M _{3}}=\frac{8 \times F }{24}=\frac{ F }{3}$