Question

In the given arrangement what can be the maximum mass of block C so that blocks A and B move together ? (i)mu m/(1+mu) (ii)3mu m/(1-mu) (iii)4um m/(1-mu) Plsssss help........

Answer 1

Hi.

PFA the answer.

Both systems boxed-in with dotted lines move together with same acceleration.

Hope you understood.

Answer 2

Answer:

iii) $\frac{4\mu m }{1-\mu}$ is the correct answer.

Explanation:

Let a be the acceleration with which three blocks move.

Let's draw force components on all blocks.

a] For block A:

equating all the force on it:

$\mu mg=ma$

$\implies a=\mu g$

b] For block B:

equating all the force acting on it:

$T-\mu m g =3ma$

$\implies T=4ma$

c] For block C:

equating all the force acting on it:

$m_c g -T=m_ca$

$\implies m_c(g-a)=T$

$\implies m_c(g-\mu g)=4\mu mg$

$\implies m_c=\frac{4\mu m}{1-\mu}$

Hence, iii) is the correct answer.

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