In arrangement shown in figure a _{1}, a _{2}, a _{3} and a _{4} are accelerations of masses m _{1},

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4-1.Newton's Laws of Motion

hard

In the arrangement shown in figure $a _{1}, a _{2}, a _{3}$ and $a _{4}$ are the accelerations of masses $m _{1}, m _{2}, m _{3}$ and $m _{4}$ respectively. Which of the following relation is true for this arrangement?

A

$4 a_{1}+2 a_{2}+a_{3}+a_{4}=0$

B

$a_{1}+4 a_{2}+3 a_{3}+a_{4}=0$

C

$a_{1}+4 a_{2}+3 a_{3}+2 a_{4}=0$

D

$2 a_{1}+2 a_{2}+3 a_{3}+a_{4}=0$

(JEE MAIN-2022)

Solution

Using costraint

$\sum \overrightarrow{ T } \cdot \overrightarrow{ a }=0$

$-4 T a _{1}-2 T a _{2}- T a _{3}- T a _{4}=0$

$4 a _{1}+2 a _{2}+ a _{3}+ a _{4}=0$

Standard 11

Physics

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