Two blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string- The whole system is suspended by a massless spring as shown in figure- The magnitudes of acceleration of A and B immediately after the string is cut- are respectively -dfrac - g - 3 - gg-ggdfrac - g - 3 -dfrac - g - 3 -dfrac - g - 3 -

Question

Two blocks A and B of masses 3 m  and m respectively are connected by a massless and inextensible string- The whole system is suspended by a massless spring as shown in figure- The magnitudes of acceleration of A and B immediately after the string is cut- are respectively -dfrac - g - 3 - gg-ggdfrac - g - 3 -dfrac - g - 3 -dfrac - g - 3 -

Toppr Admin · Accepted Answer

Before cutting the stripT-mgafter cutting the stripaA-4mg-x2212-3mg3m-mg3m-g3aB-mgm-gg3-g-

Two blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively :g3,gg,ggg3g3,g3

Before cutting the stripT=mgafter cutting the stripaA=4mg−3mg3m=mg3m=g3aB=mgm=gg3,g.

Before cutting the strip
$T = m g$
after cutting the strip

$a_{A} = \frac{4 m g - 3 m g}{3 m} = \frac{m g}{3 m} = \frac{g}{3}$

$a_{B} = \frac{m g}{m} = g$

$\frac{g}{3}, g$ .