Question

The masses $M_1$ , $M_2$ and $M_3$ are $5,2$ and $3\text{kg}$ respectively. These have been joined using massless, inextensible pieces of strings as shown in the figure. If the whole system is going upward with an acceleration of $2$ $m{s}^{-2}$ , then the value of tensions $T_1,T_2$ and $T_3$ respectively are [take $g=9.8m{s}^{-2}$ ]

• A. $\text{29.4}\text{N, 98 N, 98 N}$
• B. $\text{98}\text{N, 49 N, 29.4 N}$
• C. $\text{118}\text{N, 59 N, 35.4 N}$
• D. $\text{35.4}\text{N, 118 N, 59 N}$

Answer 1

Answer: (C)

Given $T_1=\left(M_1+M_2+M_3\right)(g+a)$
$=\left(5+2+3\right)\left(9.8+2\right)=118N$
$T_2=\left(M_2+M_3\right)\left(g+a\right)=\left(2+3\right)\left(9.8+2\right)=59N$
$T_3=M_3(g+a)=3(9.8+2)=35.4N$