Question

In the shown diagram mass of A is m and that of B is 2m. All the surfaces are smooth.System is released from rest with spring unscratched speed of block A when the extension in spring is (x_(m))/(2) is​

Answer 1

Given:

mass of $A =m$

mass of $B=2m$

Tension $T=2 m g$

To Find: The maximum extension

Solution:

Conservation of energy with springs

$2mgx=\dfrac{1}{2}kx^{2}\\2mg=\dfrac{1}{2}kx\\x=\dfrac{4mg}{k}$

The maximum extension in the string is $x=\frac{4mg}{k}$ .