Two containers of sand S and H are arranged like the blocks figure (a) The container alone have negligible mass, the sand in them has a total mass M_("tot") , the sand in the hanging container H has mass m. You are to measure the magnitude a of the acceleration of the system in a series of experiments where m varies from experiment to experiment by M_("tot") does not, that is, you will shift sand between the containers before each trial m/(M_("tot")) is taken on the horizontal axis for all the plots. The curve which gives tension in the connecting string (taken on y-axis) as a function of ratio (m/M_("tot")) is:

Two containers of sand S and H are arranged like the blocks figure (a)

1.	Two containers of sand S and H are arranged like the blocks figure (a) The container alone have negligible mass, the sand in them has a total mass M_("tot") , the sand in the hanging container H has mass m. You are to measure the magnitude a of the acceleration of the system in a series of experiments where m varies from experiment to experiment by M_("tot") does not, that is, you will shift sand between the containers before each trial m/(M_("tot")) is taken on the horizontal axis for all the plots. The curve which gives tension in the connecting string (taken on y-axis) as a function of ratio (m/M_("tot")) is:
Answer» 1 2 4 5 Solution : `mg-T=ma` …(i) `T-m'G=m'a` ….(II) ADDING (i) and (ii) `g(m-m')=a(m+m')` `g(m-m')=M_("TOTAL")+a` As `m+m' =M_("total")` So, `m'=(M_("total")-m)`