Two blocks are connected by a spring. combination is suspended, at rest, from a string attatched to

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4-1.Newton's Laws of Motion

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Two blocks are connected by $a$ spring. The combination is suspended, at rest, from a string attatched to the ceiling, as shown in the figure. The string breaks suddenly. Immediately after the string breaks, what is the initial downward acceleration of the upper block of mass $2m$ ?

A

$0$

B

$3g/2$

C

$g$

D

$2g$

Solution

Let $a$ is the initial downward acceleration of the upper block of mass $2 \mathrm{m}$. before breaking of string, $T=2 m g+k x$ and $k x=m q$

Now, after the string is cut, the forces on the $2 \mathrm{m}$ block are$:$

the equation of motion of the mass $2 m$ is, $2 m a=(2 m+m) g$

$\therefore a=\frac{3 g}{2}$

Standard 11

Physics

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