Question

Two blocks of masses m1 and m2 are connected to each other through a light spring .If we pushes mass m1 with force F and cause acceleration a1 in mass m1,what will be the magnitude of the acceleration in m2?

Answer 1

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Answer 2

Answer: ${ a }_{ 2 }\quad =\quad \frac { F\quad -\quad { m }_{ 1 }{ a }_{ 1 } }{ { m }_{ 2 } }$

The two blocks are ${ m }_{ 1 }\quad and\quad { m }_{ 1 }$

The force F is acting on block ${ m }_{ 1 }$ with acceleration ${ a }_{ 1 }$

Let us take the acceleration acting on mass ${ m }_{ 2 }$ as ${ a }_{ 2 }$

$F\quad -\quad T\quad =\quad { m }_{ 1 }{ a }_{ 1 }\quad \longrightarrow \quad \left( i \right)$

On rearranging, we get

$T\quad =\quad F\quad -\quad { m }_{ 1 }{ a }_{ 1 }$

$T\quad =\quad { m }_{ 2 }{ a }_{ 2 }\quad \longrightarrow \quad \left( ii \right)$

On equating, we get

$F\quad -\quad { m }_{ 1 }{ a }_{ 1 }\quad =\quad { m }_{ 2 }{ a }_{ 2 }$

${ a }_{ 2 }\quad =\quad \frac { F\quad -\quad { m }_{ 1 }{ a }_{ 1 } }{ { m }_{ 2 } }$

Thus, we found the magnitude of acceleration ${ a }_{ 2 }$