Question

A block, tied between two springs, is in equilibrium. If upper spring is cut then the acceleration of the block just after cut is $6m/s^2$ downwards. Now, if instead of upper spring, lower spring is cut, find the acceleration of the block. (take g = 10 $m/s^2$

• A. $4m/s^2$
• B. $2m/s^2$
• C. $3m/s^2$
• D. $8m/s^2$

Answer 1

The correct option is A $4m/s^2$


$k_1{x}_1+k_2{x}_2=mg......\left(i\right)$
when upper string is cut,
$mg-k_2{x}_2=6m$
when lower string is cut,
$mg-k_1{x}_1=ma$
solving these, a = 4 $m/s^2$