In the given arrangement,all surfaces are smo | vedclass

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(A) To ensure block $m_2$ does not slide down,it must be in equilibrium in the vertical direction relative to the block $M$.$1$. For block $m_2$,the t

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$\frac{m_2 g}{m_1}$

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(A) To ensure block $m_2$ does not slide down,it must be in equilibrium in the vertical direction relative to the block $M$.$1$. For block $m_2$,the tension $T$ in the string must balance its weight $m_2 g$. Thus,$T = m_2 g$.$2$. The block $m_1$ is placed on the smooth horizontal surface of block $M$. When the system is accelerated with acceleration $a$ to the left,a pseudo-force $m_1 a$ acts on $m_1$ to the right. This pseudo-force is balanced by the tension $T$ in the string. Thus,$T = m_1 a$.$3$. Equating the two expressions for tension $T$:$m_1 a = m_2 g$$4$. Solving for acceleration $a$:$a = \frac{m_2 g}{m_1}$

In the given arrangement,all surfaces are smooth. What acceleration $a$ should be given to the system (block $M$) so that the block $m_2$ does not slide down?

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