If the system is released, then the acceleration of the centre of mass of the system is:

Question

If the system is released, then the acceleration of the centre of mass of the system is: (A) (g/4) (B) (g/2) (C) g (D) 2 g

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/8bbaeb124d31d40ac4e52a63bd808bc6-.png" /> a = (3 m-m/3 m+m) g=(g/2) a cm =(3 a+3 m(-a)/m+3 m) =(-2 m a/4 m)=-(a/2)=-(g/4)

Q. If the system is released, then the acceleration of the centre of mass of the system is:

$\frac{g}{4}$

$\frac{g}{2}$

g

2 g

$a = \frac{3 m - m}{3 m + m} g = \frac{g}{2}$
$a_{c m} = \frac{3 a + 3 m ( - a )}{m + 3 m}$
$= \frac{- 2 ma}{4 m} = - \frac{a}{2} = - \frac{g}{4}$

Q. If the system is released, then the acceleration of the centre of mass of the system is:

4g​

2g​

g

2 g

a=3m+m3m−m​g=2g​ acm​=m+3m3a+3m(−a)​ =4m−2ma​=−2a​=−4g​

$\frac{g}{4}$

$\frac{g}{2}$

$a = \frac{3 m - m}{3 m + m} g = \frac{g}{2}$
$a_{c m} = \frac{3 a + 3 m ( - a )}{m + 3 m}$
$= \frac{- 2 ma}{4 m} = - \frac{a}{2} = - \frac{g}{4}$